Crossref journal-article
Elsevier BV
Physics Reports (78)
Bibliography

Touchette, H. (2009). The large deviation approach to statistical mechanics. Physics Reports, 478(1–3), 1–69.

Authors 1
  1. Hugo Touchette (first)
References 292 Referenced 1,452
  1. {'key': '10.1016/j.physrep.2009.05.002_b1', 'first-page': '2', 'article-title': 'Sur un nouveau théorème limite dans la théorie des probabilités', 'volume': 'vol. 3', 'author': 'Cramér', 'year': '1938'} / Sur un nouveau théorème limite dans la théorie des probabilités by Cramér (1938)
  2. 10.1002/cpa.3160280102 / Comm. Pure Appl. Math. / Asymptotic evaluation of certain Markov process expectations for large time. I by Donsker (1975)
  3. 10.1002/cpa.3160280206 / Comm. Pure Appl. Math. / Asymptotic evaluation of certain Markov process expectations for large time. II by Donsker (1975)
  4. 10.1002/cpa.3160290405 / Comm. Pure Appl. Math. / Asymptotic evaluation of certain Markov process expectations for large time. III by Donsker (1976)
  5. 10.1002/cpa.3160360204 / Comm. Pure Appl. Math. / Asymptotic evaluation of certain Markov process expectations for large time. IV by Donsker (1983)
  6. {'key': '10.1016/j.physrep.2009.05.002_b6', 'series-title': 'Random Perturbations of Dynamical Systems', 'volume': 'vol. 260', 'author': 'Freidlin', 'year': '1984'} / Random Perturbations of Dynamical Systems by Freidlin (1984)
  7. 10.1016/S0167-2789(99)00101-3 / Physica D / The theory of large deviations: From Boltzmann’s 1877 calculation to equilibrium macrostates in 2D turbulence by Ellis (1999)
  8. {'key': '10.1016/j.physrep.2009.05.002_b8', 'series-title': 'Entropy, Large Deviations, and Statistical Mechanics', 'author': 'Ellis', 'year': '1985'} / Entropy, Large Deviations, and Statistical Mechanics by Ellis (1985)
  9. 10.1143/PTPS.99.165 / Progr. Theoret. Phys. Suppl. / Large deviation and statistical physics by Oono (1989)
  10. 10.1080/03461238.1995.10413952 / Scand. Actuar. J. / An overview of the theory of large deviations and applications to statistical mechanics by Ellis (1995)
  11. {'key': '10.1016/j.physrep.2009.05.002_b11', 'series-title': 'Statistical Mechanics and Mathematical Problems', 'first-page': '1', 'article-title': 'Entropy and equilibrium states in classical statistical mechanics', 'volume': 'vol. 20', 'author': 'Lanford', 'year': '1973'} / Statistical Mechanics and Mathematical Problems / Entropy and equilibrium states in classical statistical mechanics by Lanford (1973)
  12. 10.1007/BF01027291 / J. Statist. Phys. / Dissipation and large thermodynamic fluctuations by Eyink (1990)
  13. {'key': '10.1016/j.physrep.2009.05.002_b13', 'series-title': 'Large Deviations Techniques and Applications', 'author': 'Dembo', 'year': '1998'} / Large Deviations Techniques and Applications by Dembo (1998)
  14. {'key': '10.1016/j.physrep.2009.05.002_b14', 'series-title': 'Elements of Information Theory', 'author': 'Cover', 'year': '1991'} / Elements of Information Theory by Cover (1991)
  15. 10.1002/9781118165904 / A Weak Convergence Approach to the Theory of Large Deviations by Dupuis (1997)
  16. {'key': '10.1016/j.physrep.2009.05.002_b16', 'series-title': 'Measure, Integral and Probability', 'author': 'Capiński', 'year': '2005'} / Measure, Integral and Probability by Capiński (2005)
  17. 10.1137/1122003 / Theory Probab. Appl. / On large deviations from the invariant measure by Gärtner (1977)
  18. 10.1214/aop/1176993370 / Ann. Probab. / Large deviations for a general class of random vectors by Ellis (1984)
  19. {'key': '10.1016/j.physrep.2009.05.002_b19', 'series-title': 'Convex Analysis', 'author': 'Rockafellar', 'year': '1970'} / Convex Analysis by Rockafellar (1970)
  20. {'key': '10.1016/j.physrep.2009.05.002_b20', 'series-title': 'Advanced Mathematical Methods for Scientists and Engineers', 'author': 'Bender', 'year': '1978'} / Advanced Mathematical Methods for Scientists and Engineers by Bender (1978)
  21. {'key': '10.1016/j.physrep.2009.05.002_b21', 'series-title': 'Convex Analysis: An Introductory Text', 'author': 'van Tiel', 'year': '1984'} / Convex Analysis: An Introductory Text by van Tiel (1984)
  22. 10.1002/cpa.3160190303 / Comm. Pure Appl. Math. / Asymptotic probabilities and differential equations by Varadhan (1966)
  23. {'issue': '4', 'key': '10.1016/j.physrep.2009.05.002_b23', 'article-title': 'From laws of large numbers to large deviation principles', 'volume': '3', 'author': 'O’Connell', 'year': '1997', 'journal-title': 'Markov Process. Related Fields'} / Markov Process. Related Fields / From laws of large numbers to large deviation principles by O’Connell (1997)
  24. 10.1017/S0305004199004260 / Math. Proc. Cambridge Philos. Soc. / A large deviations heuristic made precise by O’Connell (2000)
  25. 10.1007/BF00575528 / Z. Wahrscheinlichkeitstheor. Verwandte Geb. / A Laplace approximation for sums of independent random variables by Martin-Löf (1982)
  26. 10.1016/0167-7152(93)90012-8 / Statist. Probab. Lett. / A remark on the connection between the large deviation principle and the central limit theorem by Bryc (1993)
  27. 10.1214/aop/1176993665 / Ann. Probab. / Dominating points and the asymptotics of large deviations for random walk on Rd by Ney (1983)
  28. {'key': '10.1016/j.physrep.2009.05.002_b28', 'series-title': 'Large Deviation Techniques in Decision, Simulation and Estimation', 'author': 'Bucklew', 'year': '1990'} / Large Deviation Techniques in Decision, Simulation and Estimation by Bucklew (1990)
  29. {'key': '10.1016/j.physrep.2009.05.002_b29', 'first-page': '213', 'article-title': 'On the probability of large deviations of random variables', 'volume': 'vol. 1', 'author': 'Sanov', 'year': '1961'} / On the probability of large deviations of random variables by Sanov (1961)
  30. {'issue': '76', 'key': '10.1016/j.physrep.2009.05.002_b30', 'first-page': '373', 'article-title': 'Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung respecktive den Sätzen über das Wärmegleichgewicht (On the relationship between the second law of the mechanical theory of heat and the probability calculus)', 'volume': '2', 'author': 'Boltzmann', 'year': '1877', 'journal-title': 'Wiener Berichte'} / Wiener Berichte / Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung respecktive den Sätzen über das Wärmegleichgewicht (On the relationship between the second law of the mechanical theory of heat and the probability calculus) by Boltzmann (1877)
  31. 10.1214/aop/1176994985 / Ann. Probab. / Large deviations of the sample mean in general vector spaces by Bahadur (1979)
  32. 10.1007/BF02017929 / Period. Math. Hungar. / A theorem about probabilities of large deviations with an application to queuing theory by Plachky (1975)
  33. 10.1214/aoms/1177728652 / Ann. Math. Stat. / Saddlepoint approximations in statistics by Daniels (1954)
  34. {'key': '10.1016/j.physrep.2009.05.002_b34', 'series-title': 'Asymptotic Techniques for Use in Statistics', 'author': 'Barndorff-Nielsen', 'year': '1989'} / Asymptotic Techniques for Use in Statistics by Barndorff-Nielsen (1989)
  35. {'key': '10.1016/j.physrep.2009.05.002_b35', 'series-title': 'Saddlepoint Approximations with Applications', 'author': 'Butler', 'year': '2007'} / Saddlepoint Approximations with Applications by Butler (2007)
  36. {'key': '10.1016/j.physrep.2009.05.002_b36', 'first-page': '639', 'article-title': 'Introductory remarks on large deviation statistics', 'volume': '13', 'author': 'Amann', 'year': '1999', 'journal-title': 'J. Sci. Exploration'} / J. Sci. Exploration / Introductory remarks on large deviation statistics by Amann (1999)
  37. J.T. Lewis, R. Russell, An introduction to large deviations for teletraffic engineers, DIAS Report, 1996
  38. {'key': '10.1016/j.physrep.2009.05.002_b38', 'series-title': 'Entropy', 'first-page': '199', 'article-title': 'Large deviations and entropy', 'author': 'Varadhan', 'year': '2003'} / Entropy / Large deviations and entropy by Varadhan (2003)
  39. {'key': '10.1016/j.physrep.2009.05.002_b39', 'series-title': 'Large Deviations', 'author': 'Deuschel', 'year': '1989'} / Large Deviations by Deuschel (1989)
  40. {'key': '10.1016/j.physrep.2009.05.002_b40', 'series-title': 'Large Deviations', 'author': 'den Hollander', 'year': '2000'} / Large Deviations by den Hollander (2000)
  41. {'key': '10.1016/j.physrep.2009.05.002_b41', 'series-title': 'Chance and Stability: Stable Distributions and their Applications', 'author': 'Uchaikin', 'year': '1999'} / Chance and Stability: Stable Distributions and their Applications by Uchaikin (1999)
  42. 10.1016/S0167-7152(02)00403-0 / Statist. Probab. Lett. / Asymptotic properties of stable densities and the asymmetric large deviation problems by Nagaev (2003)
  43. 10.1137/S0040585X97977008 / Theory Probab. Appl. / Cramér’s large deviations when the extreme conjugate distribution is heavy-tailed by Nagaev (1999)
  44. 10.1214/aop/1176992159 / Ann. Probab. / Markov additive processes I: Eigenvalue properties and limit theorems by Ney (1987)
  45. 10.1214/aop/1176992160 / Ann. Probab. / Markov additive processes II: Large deviations by Ney (1987)
  46. 10.1214/aop/1176989683 / Ann. Probab. / Large deviations for exchangeable random vectors by Dinwoodie (1992)
  47. 10.1214/aop/1176989402 / Ann. Probab. / Identifying a large deviation rate function by Dinwoodie (1993)
  48. 10.1016/0167-7152(93)90018-E / Statist. Probab. Lett. / Two examples in the theory of large deviations by Ioffe (1993)
  49. 10.1103/PhysRevLett.95.010601 / Phys. Rev. Lett. / Chaotic properties of systems with Markov dynamics by Lecomte (2005)
  50. 10.1007/s10955-006-9254-0 / J. Statist. Phys. / Thermodynamic formalism for systems with Markov dynamics by Lecomte (2007)
  51. {'key': '10.1016/j.physrep.2009.05.002_b51', 'series-title': 'Thermodynamics of Chaotic Systems: An Introduction', 'author': 'Beck', 'year': '1993'} / Thermodynamics of Chaotic Systems: An Introduction by Beck (1993)
  52. {'key': '10.1016/j.physrep.2009.05.002_b52', 'series-title': 'Chaos, Scattering and Statistical Mechanics', 'volume': 'vol. 9', 'author': 'Gaspard', 'year': '1998'} / Chaos, Scattering and Statistical Mechanics by Gaspard (1998)
  53. {'key': '10.1016/j.physrep.2009.05.002_b53', 'series-title': 'Statistical Mechanics: Rigorous Results', 'author': 'Ruelle', 'year': '1969'} / Statistical Mechanics: Rigorous Results by Ruelle (1969)
  54. {'key': '10.1016/j.physrep.2009.05.002_b54', 'series-title': 'Stochastic Mechanics and Stochastic Processes', 'first-page': '141', 'article-title': 'The large deviation principle in statistical mechanics: An expository account', 'volume': 'vol. 1325', 'author': 'Lewis', 'year': '1988'} / Stochastic Mechanics and Stochastic Processes / The large deviation principle in statistical mechanics: An expository account by Lewis (1988)
  55. {'key': '10.1016/j.physrep.2009.05.002_b55', 'first-page': '85', 'article-title': 'The large deviation principle in statistical mechanics', 'volume': 'vol. 17', 'author': 'Lewis', 'year': '1988'} / The large deviation principle in statistical mechanics by Lewis (1988)
  56. {'key': '10.1016/j.physrep.2009.05.002_b56', 'series-title': 'Mathematical Methods in Statistical Mechanics', 'first-page': '77', 'article-title': 'Large deviations and statistical mechanics', 'volume': 'vol. 1', 'author': 'Lewis', 'year': '1989'} / Mathematical Methods in Statistical Mechanics / Large deviations and statistical mechanics by Lewis (1989)
  57. {'key': '10.1016/j.physrep.2009.05.002_b57', 'series-title': 'On Three Levels', 'article-title': 'Large deviations and the thermodynamic formalism: A new proof of the equivalence of ensembles', 'author': 'Lewis', 'year': '1994'} / On Three Levels / Large deviations and the thermodynamic formalism: A new proof of the equivalence of ensembles by Lewis (1994)
  58. {'key': '10.1016/j.physrep.2009.05.002_b58', 'first-page': '319', 'article-title': 'Entropy, concentration of probability and conditional limit theorem', 'volume': '1', 'author': 'Lewis', 'year': '1995', 'journal-title': 'Markov Process. Related Fields'} / Markov Process. Related Fields / Entropy, concentration of probability and conditional limit theorem by Lewis (1995)
  59. 10.1070/RM1995v050n02ABEH002056 / Russ. Math. Surveys / Thermodynamic probability theory: Some aspects of large deviations by Lewis (1995)
  60. {'issue': '7', 'key': '10.1016/j.physrep.2009.05.002_b60', 'first-page': '953', 'article-title': 'Large deviations and phase separation in the two-dimensional Ising model', 'volume': '64', 'author': 'Pfister', 'year': '1991', 'journal-title': 'Helv. Phys. Acta'} / Helv. Phys. Acta / Large deviations and phase separation in the two-dimensional Ising model by Pfister (1991)
  61. {'key': '10.1016/j.physrep.2009.05.002_b61', 'series-title': 'From Microphysics to Macrophysics: Methods and Applications of Statistical Physics, vol. I', 'author': 'Balian', 'year': '1991'} / From Microphysics to Macrophysics: Methods and Applications of Statistical Physics, vol. I by Balian (1991)
  62. 10.1023/A:1026446225804 / J. Statist. Phys. / Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles by Ellis (2000)
  63. {'key': '10.1016/j.physrep.2009.05.002_b63', 'first-page': '231', 'article-title': 'The theory of opalescence of homogeneous fluids and liquid mixtures near the critical state', 'volume': 'vol. 3', 'author': 'Einstein', 'year': '1987'} / The theory of opalescence of homogeneous fluids and liquid mixtures near the critical state by Einstein (1987)
  64. 10.1103/PhysRev.106.620 / Phys. Rev. / Information theory and statistical mechanics by Jaynes (1957)
  65. {'key': '10.1016/j.physrep.2009.05.002_b65', 'volume': 'Vol. I', 'author': 'Jaynes', 'year': '2003'} by Jaynes (2003)
  66. 10.1007/BF00672036 / Internat. J. Theoret. Phys. / Level I theory of large deviations in the ideal gas by Lehtonen (1990)
  67. 10.1007/BF01016409 / J. Statist. Phys. / Multiple phase transitions in the generalized Curie-Weiss model by Eisele (1988)
  68. 10.1080/17442508808833529 / Stochastics / Large deviations for the empirical field of Curie-Weiss models by Orey (1988)
  69. 10.1016/0304-4149(90)90122-9 / Stochastic Process. Appl. / Limit theorems for the empirical vector of the Curie-Weiss-Potts model by Ellis (1990)
  70. 10.1063/1.1904507 / J. Math. Phys. / Complete analysis of phase transitions and ensemble equivalence for the Curie-Weiss-Potts model by Costeniuc (2005)
  71. 10.1103/PhysRevLett.87.030601 / Phys. Rev. Lett. / Inequivalence of ensembles in a system with long-range interactions by Barré (2001)
  72. 10.1016/j.physa.2003.11.028 / Physica A / Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model by Ellis (2004)
  73. 10.1214/105051605000000421 / Ann. Appl. Probab. / Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model by Ellis (2005)
  74. 10.1007/s10955-005-3768-8 / J. Statist. Phys. / Large deviation techniques applied to systems with long-range interactions by Barré (2005)
  75. 10.1007/s10955-005-8031-9 / J. Statist. Phys. / On the mean-field spherical model by Kastner (2006)
  76. 10.1016/j.physa.2007.05.043 / Physica A / Partial equivalence of statistical ensembles and kinetic energy by Casetti (2007)
  77. 10.1103/PhysRevE.72.056134 / Phys. Rev. E / The mean-field ϕ4 model: Entropy, analyticity, and configuration space topology by Hahn (2005)
  78. 10.1140/epjb/e2006-00100-7 / Eur. Phys. J. B / Application of large deviation theory to the mean-field ϕ4-model by Hahn (2006)
  79. 10.1016/j.physa.2007.06.004 / Physica A / Negative magnetic susceptibility and nonequivalent ensembles for the mean-field ϕ4 spin model by Campa (2007)
  80. {'key': '10.1016/j.physrep.2009.05.002_b80', 'series-title': 'Dynamics and Thermodynamics of Systems with Long Range Interactions, vol. 602', 'year': '2002'} / Dynamics and Thermodynamics of Systems with Long Range Interactions, vol. 602 (2002)
  81. 10.1007/s10955-004-2059-0 / J. Statist. Phys. / Classification of phase transitions and ensemble inequivalence in systems with long range interactions by Bouchet (2005)
  82. {'key': '10.1016/j.physrep.2009.05.002_b82', 'series-title': 'Dynamics and Thermodynamics of Systems with Long-range Interactions: Theory and Experiments', 'year': '2008'} / Dynamics and Thermodynamics of Systems with Long-range Interactions: Theory and Experiments (2008)
  83. A. Campa, T. Dauxois, S. Ruffo, Statistical mechanics and dynamics of solvable models with long-range interactions, 2008 (10.1016/j.physrep.2009.07.001)
  84. 10.1088/0951-7715/15/2/302 / Nonlinearity / Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows by Ellis (2002)
  85. {'key': '10.1016/j.physrep.2009.05.002_b85', 'series-title': 'In and Out of Equilibrium, Probability with a Physics Flavor', 'first-page': '393', 'article-title': 'Thermodynamical aspects of classical lattice systems', 'author': 'Pfister', 'year': '2002'} / In and Out of Equilibrium, Probability with a Physics Flavor / Thermodynamical aspects of classical lattice systems by Pfister (2002)
  86. 10.1023/A:1019983427289 / J. Statist. Phys. / Existence and order of the phase transition of the Ising model with fixed magnetization by Kastner (2002)
  87. 10.1007/BF02186849 / J. Statist. Phys. / The equivalence of ensembles for lattice systems: Some examples and a counterexample by Lewis (1994)
  88. 10.1103/PhysRev.65.117 / Phys. Rev. / Crystal statistics. I. A two-dimensional model with an order-disorder transition by Onsager (1944)
  89. 10.1007/BF02186818 / J. Statist. Phys. / Large deviations for the 2D Ising model: A lower bound without cluster expansions by Ioffe (1994)
  90. {'key': '10.1016/j.physrep.2009.05.002_b90', 'series-title': 'Statistical Physics', 'volume': 'vol. 5', 'author': 'Landau', 'year': '1991'} / Statistical Physics by Landau (1991)
  91. 10.1016/j.physa.2005.05.098 / Physica A / Comment on First-order phase transition: Equivalence between bimodalities and the Yang–Lee theorem by Touchette (2006)
  92. 10.1038/011357a0 / Nature / On the dynamical evidence of the molecular constitution of bodies by Maxwell (1875)
  93. {'key': '10.1016/j.physrep.2009.05.002_b93', 'series-title': 'Statistical Mechanics', 'author': 'Huang', 'year': '1987'} / Statistical Mechanics by Huang (1987)
  94. 10.1016/S0378-4371(01)00159-5 / Physica A / On first-order phase transitions in microcanonical and canonical non-extensive systems by Ispolatov (2000)
  95. 10.1073/pnas.252779099 / Proc. Natl. Acad. Sci. USA / Negative specific heat of a magnetically self-confined plasma torus by Kiessling (2003)
  96. 10.1023/A:1007370621385 / Lett. Math. Phys. / The micro-canonical point vortex ensemble: Beyond equivalence by Kiessling (1997)
  97. 10.1142/S0217979206035400 / Internat. J. Modern Phys. B / Phase transitions in self-gravitating systems by Chavanis (2006)
  98. 10.1016/S0378-4371(98)00518-4 / Physica A / Negative specific heat in astronomy, physics and chemistry by Lynden-Bell (1999)
  99. 10.1063/1.881363 / Phys. Today / Boltzmann’s entropy and time’s arrow by Lebowitz (1993)
  100. 10.1007/BF01053597 / J. Statist. Phys. / Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence by Eyink (1993)
  101. 10.1119/1.2794350 / Amer. J. Phys. / Simple spin models with non-concave entropies by Touchette (2008)
  102. 10.1016/j.physa.2004.03.088 / Physica A / An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles by Touchette (2004)
  103. {'key': '10.1016/j.physrep.2009.05.002_b103', 'series-title': 'Thermodynamic Formalism', 'author': 'Ruelle', 'year': '2004'} / Thermodynamic Formalism by Ruelle (2004)
  104. 10.1063/1.1704681 / J. Math. Phys. / Microcanonical ensemble in quantum statistical mechanics by Griffiths (1965)
  105. 10.1063/1.1665684 / J. Math. Phys. / Asymptotic equivalence of equilibrium ensembles of classical statistical mechanics by Galgani (1971)
  106. {'key': '10.1016/j.physrep.2009.05.002_b106', 'series-title': 'Statistical Mechanics: A Short Treatise', 'author': 'Gallavotti', 'year': '1999'} / Statistical Mechanics: A Short Treatise by Gallavotti (1999)
  107. 10.1016/0031-8914(49)90059-2 / Physica / Quelques propriétés générales de l’intégrale de configuration d’un système de particules avec interaction by van Hove (1949)
  108. 10.1016/0031-8914(50)90072-3 / Physica / Sur l’intégrale de configuration pour les systèmes de particules à une dimension by van Hove (1950)
  109. {'key': '10.1016/j.physrep.2009.05.002_b109', 'first-page': '183', 'article-title': 'Classical statistical mechanics of a system of particles', 'volume': '36', 'author': 'Ruelle', 'year': '1963', 'journal-title': 'Helv. Phys. Acta'} / Helv. Phys. Acta / Classical statistical mechanics of a system of particles by Ruelle (1963)
  110. 10.1007/BF00250473 / Arch. Ration. Mech. Anal. / The free energy of a macroscopic system by Fisher (1964)
  111. 10.1063/1.1704228 / J. Math. Phys. / A proof that the free energy of a spin system is extensive by Griffiths (1964)
  112. {'key': '10.1016/j.physrep.2009.05.002_b112', 'first-page': '7', 'article-title': 'Rigorous results and theorems', 'volume': 'vol. 1', 'author': 'Griffiths', 'year': '1972'} / Rigorous results and theorems by Griffiths (1972)
  113. 10.1088/1742-5468/2007/07/P07023 / J. Stat. Mech. / Non-equilibrium steady states: Fluctuations and large deviations of the density and of the current by Derrida (2007)
  114. {'key': '10.1016/j.physrep.2009.05.002_b114', 'series-title': 'Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences', 'volume': 'vol. 13', 'author': 'Gardiner', 'year': '1985'} / Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences by Gardiner (1985)
  115. 10.1070/RM1970v025n01ABEH001254 / Russ. Math. Surveys / On small random perturbations of dynamical systems by Wentzell (1970)
  116. {'key': '10.1016/j.physrep.2009.05.002_b116', 'series-title': 'Quantum Statistics in Optics and Solid-State Physics', 'first-page': '1', 'article-title': 'Statistical theory of instabilities in stationary nonequilibrium systems with applications to lasers and nonlinear optics', 'volume': 'vol. 66', 'author': 'Graham', 'year': '1973'} / Quantum Statistics in Optics and Solid-State Physics / Statistical theory of instabilities in stationary nonequilibrium systems with applications to lasers and nonlinear optics by Graham (1973)
  117. 10.1103/PhysRevA.31.1109 / Phys. Rev. A / Weak-noise limit of Fokker-Planck models and nondifferentiable potentials for dissipative dynamical systems by Graham (1985)
  118. {'issue': '1', 'key': '10.1016/j.physrep.2009.05.002_b118', 'first-page': '30', 'article-title': 'Theory of fluctuational transitions between stable states of nonlinear oscillators', 'volume': '50', 'author': 'Dykman', 'year': '1979', 'journal-title': 'Sov. Phys. JETP'} / Sov. Phys. JETP / Theory of fluctuational transitions between stable states of nonlinear oscillators by Dykman (1979)
  119. 10.1103/PhysRev.91.1505 / Phys. Rev. / Fluctuations and irreversible processes by Onsager (1953)
  120. 10.1143/PTP.16.530 / Progr. Theoret. Phys. / Integral over path formulation of statistical theory of irreversible processes by Falkoff (1956)
  121. 10.1016/0003-4916(58)90052-6 / Ann. Phys. (N.Y.) / Statistical theory of irrversible processes: Part I. Intergral over fluctuation path formulation by Falkoff (1958)
  122. {'key': '10.1016/j.physrep.2009.05.002_b122', 'first-page': '16', 'article-title': 'Some Markov methods in the theory of stochastic processes in nonlinear dynamical systems', 'volume': 'vol. 1', 'author': 'Stratonovich', 'year': '1989'} / Some Markov methods in the theory of stochastic processes in nonlinear dynamical systems by Stratonovich (1989)
  123. 10.1007/BF01609446 / Comm. Math. Phys. / The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process by Dürr (1978)
  124. {'issue': '2', 'key': '10.1016/j.physrep.2009.05.002_b124', 'first-page': '189', 'article-title': 'Onsager-Machlup function for one dimensional nonlinear diffusion processes', 'volume': '22', 'author': 'Horsthemke', 'year': '1975', 'journal-title': 'Z. Phys. B (Condens. Matter)'} / Z. Phys. B (Condens. Matter) / Onsager-Machlup function for one dimensional nonlinear diffusion processes by Horsthemke (1975)
  125. 10.1063/1.442098 / J. Chem. Phys. / Path integral solutions of stochastic equations for nonlinear irreversible processes: The uniqueness of the thermodynamic lagrangian by Hunt (1981)
  126. 10.1103/PhysRevA.41.657 / Phys. Rev. A / Path integrals and non-Markov processes. II. Escape rates and stationary distributions in the weak-noise limit by Bray (1990)
  127. 10.1103/PhysRevA.41.644 / Phys. Rev. A / Path integrals and non-Markov processes. I. General formalism by McKane (1990)
  128. 10.1103/PhysRevA.40.7312 / Phys. Rev. A / Path-integral formulation for stochastic processes driven by colored noise by Wio (1989)
  129. {'key': '10.1016/j.physrep.2009.05.002_b129', 'series-title': 'Contemporary Problems in Statistical Physics', 'first-page': '41', 'article-title': 'Fluctuations in nonlinear systems driven by colored noise', 'author': 'Dykman', 'year': '1994'} / Contemporary Problems in Statistical Physics / Fluctuations in nonlinear systems driven by colored noise by Dykman (1994)
  130. 10.1103/PhysRevE.51.2974 / Phys. Rev. E / Use of Hamiltonian mechanics in systems driven by colored noise by Einchcomb (1995)
  131. {'key': '10.1016/j.physrep.2009.05.002_b131', 'series-title': 'Noise in Nonlinear Dynamical Systems, vol. 1', 'year': '1989'} / Noise in Nonlinear Dynamical Systems, vol. 1 (1989)
  132. {'key': '10.1016/j.physrep.2009.05.002_b132', 'series-title': 'Noise in Nonlinear Dynamical Systems, vol. 2', 'year': '1989'} / Noise in Nonlinear Dynamical Systems, vol. 2 (1989)
  133. {'key': '10.1016/j.physrep.2009.05.002_b133', 'series-title': 'Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets', 'author': 'Kleinert', 'year': '2004'} / Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by Kleinert (2004)
  134. {'key': '10.1016/j.physrep.2009.05.002_b134', 'series-title': 'Introduction to Path-integral Methods in Physics and Polymer Science', 'author': 'Wiegel', 'year': '1986'} / Introduction to Path-integral Methods in Physics and Polymer Science by Wiegel (1986)
  135. 10.1090/S0002-9947-1966-0201892-6 / Trans. Amer. Math. Soc. / Some asymptotic formulae for Wiener integrals by Schilder (1966)
  136. {'key': '10.1016/j.physrep.2009.05.002_b136', 'series-title': 'Computational Stochastic Mechanics', 'first-page': '125', 'article-title': 'Noise perturbation of nonlinear dynamical systems', 'author': 'Roy', 'year': '1993'} / Computational Stochastic Mechanics / Noise perturbation of nonlinear dynamical systems by Roy (1993)
  137. {'key': '10.1016/j.physrep.2009.05.002_b137', 'series-title': 'Applications of Statistics and Probability', 'first-page': '1129', 'article-title': 'Large deviation theory, weak-noise asymptotics, and first-passage problems: Review and results', 'author': 'Roy', 'year': '1995'} / Applications of Statistics and Probability / Large deviation theory, weak-noise asymptotics, and first-passage problems: Review and results by Roy (1995)
  138. 10.1063/1.467139 / J. Chem. Phys. / Large fluctuations and optimal paths in chemical kinetics by Dykman (1994)
  139. 10.1103/PhysRevLett.62.493 / Phys. Rev. Lett. / Instanton calculation of the escape rate for activation over a potential barrier driven by colored noise by Bray (1989)
  140. 10.1023/A:1014525911391 / J. Statist. Phys. / Macroscopic fluctuation theory for stationary non-equilibrium states by Bertini (2002)
  141. {'key': '10.1016/j.physrep.2009.05.002_b141', 'series-title': 'Stochastic Processes in Physics and Chemistry', 'author': 'van Kampen', 'year': '1992'} / Stochastic Processes in Physics and Chemistry by van Kampen (1992)
  142. 10.1103/PhysRevA.38.2066 / Phys. Rev. A / Thermally induced escape: The principle of minimum available noise energy by Kautz (1988)
  143. 10.1016/0375-9601(87)90151-4 / Phys. Lett. A / Activation energy for thermally induced escape from a basin of attraction by Kautz (1987)
  144. 10.1103/PhysRevA.33.1322 / Phys. Rev. A / Nonequilibrium potential for coexisting attractors by Graham (1986)
  145. 10.1016/0378-4371(87)90151-8 / Physica A / Nondifferentiable potentials for nonequilibrium steady states by Jauslin (1987)
  146. 10.1103/PhysRevLett.68.2718 / Phys. Rev. Lett. / Optimal paths and the prehistory problem for large fluctuations in noise-driven systems by Dykman (1992)
  147. 10.1103/PhysRevLett.77.5229 / Phys. Rev. Lett. / Corrals and critical behavior of the distribution of fluctuational paths by Dykman (1996)
  148. 10.1038/38963 / Nature / Irreversibility of classical fluctuations studied in analogue electrical circuits by Luchinsky (1997)
  149. 10.1103/PhysRevLett.79.3109 / Phys. Rev. Lett. / Experiments on critical phenomena in a noisy exit problem by Luchinsky (1997)
  150. 10.1088/0034-4885/61/8/001 / Rep. Progr. Phys. / Analogue studies of nonlinear systems by Luchinsky (1998)
  151. {'key': '10.1016/j.physrep.2009.05.002_b151', 'series-title': 'Entropy', 'first-page': '233', 'article-title': 'Metastability and entropy', 'author': 'Olivieri', 'year': '2003'} / Entropy / Metastability and entropy by Olivieri (2003)
  152. {'key': '10.1016/j.physrep.2009.05.002_b152', 'series-title': 'Large Deviations and Metastability', 'volume': 'vol. 100', 'author': 'Olivieri', 'year': '2005'} / Large Deviations and Metastability by Olivieri (2005)
  153. 10.1143/PTP.56.44 / Progr. Theoret. Phys. / Variational principle for non-equilibrium states and the Onsager-Machlup formula by Hasegawa (1976)
  154. 10.1007/s10955-006-9252-2 / J. Statist. Phys. / Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems by Taniguchi (2007)
  155. 10.1007/s10955-007-9471-1 / J. Statist. Phys. / Nonequilibrium steady state thermodynamics and fluctuations for stochastic systems by Taniguchi (2008)
  156. {'key': '10.1016/j.physrep.2009.05.002_b156', 'series-title': 'Order and Fluctuations in Equilibrium and Nonequilibrium Statistical Mechanics', 'article-title': 'Onset of cooperative behavior in nonequilibrium steady states', 'author': 'Graham', 'year': '1981'} / Order and Fluctuations in Equilibrium and Nonequilibrium Statistical Mechanics / Onset of cooperative behavior in nonequilibrium steady states by Graham (1981)
  157. 10.1103/PhysRevE.55.176 / Phys. Rev. E / Phenomenological framework for fluctuations around steady state by Paniconi (1997)
  158. 10.1143/PTPS.130.29 / Progr. Theoret. Phys. Suppl. / Steady state thermodynamics by Oono (1998)
  159. 10.1063/1.469504 / J. Chem. Phys. / Thermodynamic and stochastic theory of nonequilibrium systems: A Lagrangian approach to fluctuations and relation to excess work by Suarez (1995)
  160. 10.1103/RevModPhys.73.913 / Rev. Modern Phys. / Particles and fields in fluid turbulence by Falkovich (2001)
  161. 10.1007/s10955-006-9225-5 / J. Statist. Phys. / Kraichnan flow in a square: An example of integrable chaos by Chetrite (2007)
  162. 10.1016/j.spa.2006.11.001 / Stochastic Process. Appl. / A large deviation principle for 2D stochastic Navier-Stokes equation by Gourcy (2007)
  163. {'key': '10.1016/j.physrep.2009.05.002_b163', 'series-title': 'Large Scale Dynamics of Interacting Particles', 'author': 'Spohn', 'year': '1991'} / Large Scale Dynamics of Interacting Particles by Spohn (1991)
  164. {'key': '10.1016/j.physrep.2009.05.002_b164', 'series-title': 'Scaling Limits of Interacting Particle Systems', 'volume': 'vol. 320', 'author': 'Kipnis', 'year': '1999'} / Scaling Limits of Interacting Particle Systems by Kipnis (1999)
  165. 10.1103/PhysRevE.65.051112 / Phys. Rev. E / Large-deviation functions for nonlinear functionals of a Gaussian stationary Markov process by Majumdar (2002)
  166. 10.1103/PhysRevE.67.046102 / Phys. Rev. E / Stationary and transient work-fluctuation theorems for a dragged Brownian particle by van Zon (2003)
  167. 10.1103/PhysRevE.76.020101 / Phys. Rev. E / Fluctuation relation for a Lévy particle by Touchette (2007)
  168. C. Maes, K. Netočný, B. Shergelashvili, A selection of nonequilibrium issues, in: Lecture notes from the 5th Prague Summer School on Mathematical Statistical Mechanics, 2006
  169. 10.1088/1742-5468/2007/07/P07020 / J. Stat. Mech. / Fluctuation theorems for stochastic dynamics by Harris (2007)
  170. 10.1088/1742-5468/2007/07/P07005 / J. Stat. Mech. / Non-equilibrium work relations by Kurchan (2007)
  171. 10.1016/j.physrep.2008.02.002 / Phys. Rep. / Fluctuation-dissipation: Response theory in statistical physics by Marconi (2008)
  172. {'key': '10.1016/j.physrep.2009.05.002_b172', 'series-title': 'Poincaré Seminar 2003', 'first-page': '192', 'article-title': 'Work fluctuations, transient violations of the second law and free-energy recovery methods: Perspectives in theory and experiments', 'volume': 'vol. 38', 'author': 'Ritort', 'year': '2003'} / Poincaré Seminar 2003 / Work fluctuations, transient violations of the second law and free-energy recovery methods: Perspectives in theory and experiments by Ritort (2003)
  173. 10.1080/00018730210155133 / Adv. Phys. / The fluctuation theorem by Evans (2002)
  174. 10.1016/0378-4371(81)90122-9 / Physica A / Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics : I. Generalized fluctuation-dissipation theorem by Bochkov (1981)
  175. 10.1023/A:1021026930129 / J. Statist. Phys. / Time-reversal and entropy by Maes (2003)
  176. 10.1103/PhysRevLett.74.2694 / Phys. Rev. Lett. / Dynamical ensembles in nonequilibrium statistical mechanics by Gallavotti (1995)
  177. 10.1007/BF02179860 / J. Statist. Phys. / Dynamical ensembles in stationary states by Gallavotti (1995)
  178. 10.1103/PhysRevLett.71.2401 / Phys. Rev. Lett. / Probability of second law violations in shearing steady states by Evans (1993)
  179. 10.1088/0305-4470/31/16/003 / J. Phys. A: Math. Gen. / Fluctuation theorem for stochastic dynamics by Kurchan (1998)
  180. 10.1023/A:1004589714161 / J. Statist. Phys. / A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics by Lebowitz (1999)
  181. 10.1023/A:1004541830999 / J. Statist. Phys. / The fluctuation Theorem as a Gibbs property by Maes (1999)
  182. 10.1103/PhysRevLett.89.050601 / Phys. Rev. Lett. / Experimental demonstration of violations of the second law of thermodynamics for small systems and short time scales by Wang (2002)
  183. 10.1103/PhysRevLett.98.150601 / Phys. Rev. Lett. / Entropy production and time asymmetry in nonequilibrium fluctuations by Andrieux (2007)
  184. 10.1103/PhysRevLett.92.130601 / Phys. Rev. Lett. / Power and heat fluctuation theorems for electric circuits by van Zon (2004)
  185. 10.1103/PhysRevE.71.060101 / Phys. Rev. E / Nonequilibrium fluctuations in a resistor by Garnier (2005)
  186. 10.1007/s100510170321 / Eur. Phys. J. B / Power injected in dissipative systems and the fluctuation theorem by Aumaître (2001)
  187. 10.1103/PhysRevLett.92.164301 / Phys. Rev. Lett. / Fluidized granular medium as an instance of the fluctuation theorem by Feitosa (2004)
  188. 10.1103/PhysRevLett.95.110202 / Phys. Rev. Lett. / Fluctuations of internal energy flow in a vibrated granular gas by Puglisi (2005)
  189. 10.1209/epl/i2005-10213-1 / Europhys. Lett. / Injected power and entropy flow in a heated granular gas by Visco (2005)
  190. 10.1007/s10955-006-9161-4 / J. Statist. Phys. / Fluctuations of power injection in randomly driven granular gases by Visco (2006)
  191. {'issue': '6', 'key': '10.1016/j.physrep.2009.05.002_b191', 'first-page': '215', 'article-title': 'An experimental test of the Gallavotti-Cohen fluctuation theorem', 'volume': '8', 'author': 'Ciliberto', 'year': '1998', 'journal-title': 'J. Phys. IV (France)'} / J. Phys. IV (France) / An experimental test of the Gallavotti-Cohen fluctuation theorem by Ciliberto (1998)
  192. 10.1016/j.physa.2004.04.013 / Physica A / Experimental test of the Gallavotti-Cohen fluctuation theorem in turbulent flows by Ciliberto (2004)
  193. 10.1103/PhysRevE.74.021117 / Phys. Rev. E / Fluctuation theorem for the effusion of an ideal gas by Cleuren (2006)
  194. 10.1007/s10955-004-3455-1 / J. Statist. Phys. / Time-reversed dynamical entropy and irreversibility in Markovian random processes by Gaspard (2004)
  195. 10.1007/s00220-008-0502-9 / Comm. Math. Phys. / Fluctuation relations for diffusion processes by Chetrite (2008)
  196. 10.1088/1742-5468/2008/08/P08005 / J. Stat. Mech. / Fluctuation relations in simple examples of non-equilibrium steady states by Chetrite (2008)
  197. 10.1063/1.2738753 / J. Math. Phys. / Minimum entropy production principle from a dynamical fluctuation law by Maes (2007)
  198. 10.1063/1.1581971 / J. Math. Phys. A: Math. Gen. / Entropy production fluctuations of finite Markov chains by Jiang (2003)
  199. 10.1063/1.533195 / J. Math. Phys. / On the definition of entropy production, via examples by Maes (2000)
  200. {'key': '10.1016/j.physrep.2009.05.002_b200', 'first-page': '29', 'article-title': 'On the origin and the use of fluctuation relations for the entropy', 'volume': '2', 'author': 'Maes', 'year': '2003', 'journal-title': 'Sem. Poincaré'} / Sem. Poincaré / On the origin and the use of fluctuation relations for the entropy by Maes (2003)
  201. 10.1103/PhysRevLett.95.040602 / Phys. Rev. Lett. / Entropy production along a stochastic trajectory and an integral fluctuation theorem by Seifert (2005)
  202. 10.1103/PhysRevE.74.026106 / Phys. Rev. E / Fluctuation relations for a driven Brownian particle by Imparato (2006)
  203. 10.1016/S0167-2789(97)00214-5 / Physica D / Breakdown and regeneration of time reversal symmetry in nonequilibrium statistical mechanics by Gallavotti (1998)
  204. 10.1140/epjb/e2008-00041-1 / Eur. Phys. J. B / Heat and fluctuations from order to chaos by Gallavotti (2008)
  205. 10.1103/PhysRevLett.91.110601 / Phys. Rev. Lett. / Extension of the fluctuation theorem by van Zon (2003)
  206. 10.1103/PhysRevE.69.056121 / Phys. Rev. E / Extended heat-fluctuation theorems for a system with deterministic and stochastic forces by van Zon (2004)
  207. 10.1023/A:1014538214117 / J. Statist. Phys. / Injected power fluctuations in Langevin equation by Farago (2002)
  208. 10.1088/1742-5468/2006/08/P08010 / J. Stat. Mech. / Relevance of initial and final conditions for the fluctuation relation in Markov processes by Puglisi (2006)
  209. 10.1088/1742-5468/2006/06/P06006 / J. Stat. Mech. / Work fluctuations for a Brownian particle between two thermostats by Visco (2006)
  210. 10.1007/s10955-006-9047-5 / J. Phys. Stat. / Chaotic hypothesis, fluctuation theorem and singularities by Bonetto (2006)
  211. 10.1209/epl/i2006-10102-1 / Europhys. Lett. / Breakdown of Gallavotti-Cohen symmetry for stochastic dynamics by Harris (2006)
  212. 10.1088/1742-5468/2008/05/P05005 / J. Stat. Mech. / On the range of validity of the fluctuation theorem for stochastic Markovian dynamics by Rákos (2008)
  213. {'key': '10.1016/j.physrep.2009.05.002_b213', 'series-title': 'Interacting Particle Systems', 'author': 'Liggett', 'year': '2004'} / Interacting Particle Systems by Liggett (2004)
  214. 10.1023/B:JOSS.0000037220.57358.94 / J. Statist. Phys. / Minimum dissipation principle in stationary non-equilibrium states by Bertini (2004)
  215. 10.1088/1742-5468/2007/07/P07014 / J. Stat. Mech. / Stochastic interacting particle systems out of equilibrium by Bertini (2007)
  216. 10.1002/cpa.3160420202 / Comm. Pure Appl. Math. / Hydrodynamics and large deviation for simple exclusion processes by Kipnis (1989)
  217. 10.1103/PhysRevLett.80.209 / Phys. Rev. Lett. / Exact large deviation function in the asymmetric exclusion process by Derrida (1998)
  218. 10.1016/S0370-1573(98)00006-4 / Phys. Rep. / An exactly soluble non-equilibrium system: The asymmetric simple exclusion process by Derrida (1998)
  219. 10.1016/0304-4149(95)91543-A / Stochastic Process. Appl. / Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes by Benois (1995)
  220. {'key': '10.1016/j.physrep.2009.05.002_b220', 'series-title': 'Cellular Automata and Cooperative Systems', 'article-title': 'Hydrodynamical limit for mean zero asymmetric zero range processes', 'author': 'Landim', 'year': '1993'} / Cellular Automata and Cooperative Systems / Hydrodynamical limit for mean zero asymmetric zero range processes by Landim (1993)
  221. {'issue': '1', 'key': '10.1016/j.physrep.2009.05.002_b221', 'first-page': '17', 'article-title': 'Large deviations from the hydrodynamical limit for a system of independent brownian particles', 'volume': '33', 'author': 'Kipnis', 'year': '1990', 'journal-title': 'Stochastics'} / Stochastics / Large deviations from the hydrodynamical limit for a system of independent brownian particles by Kipnis (1990)
  222. {'issue': '1', 'key': '10.1016/j.physrep.2009.05.002_b222', 'first-page': '223', 'article-title': 'Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes', 'volume': '31', 'author': 'Kipnis', 'year': '1995', 'journal-title': 'Ann. Inst. Poincaré B'} / Ann. Inst. Poincaré B / Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes by Kipnis (1995)
  223. {'issue': '2', 'key': '10.1016/j.physrep.2009.05.002_b223', 'first-page': '615', 'article-title': 'An overview on large deviations of the empirical measure of interacting particle systems', 'volume': '55', 'author': 'Landim', 'year': '1991', 'journal-title': 'Ann. Inst. Poincaré A'} / Ann. Inst. Poincaré A / An overview on large deviations of the empirical measure of interacting particle systems by Landim (1991)
  224. 10.1103/PhysRevLett.87.150601 / Phys. Rev. Lett. / Free energy functional for nonequilibrium systems: An exactly solvable case by Derrida (2001)
  225. 10.1023/A:1014555927320 / J. Statist. Phys. / Large deviation of the density profile in the steady state of the open symmetric simple exclusion process by Derrida (2002)
  226. 10.1103/PhysRevLett.89.030601 / Phys. Rev. Lett. / Exact free energy functional for a driven diffusive open stationary nonequilibrium system by Derrida (2002)
  227. 10.1023/A:1022111919402 / J. Statist. Phys. / Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process by Derrida (2003)
  228. 10.1103/PhysRevLett.92.180601 / Phys. Rev. Lett. / Current fluctuations in nonequilibrium diffusive systems: An additivity principle by Bodineau (2004)
  229. 10.1103/PhysRevE.72.066110 / Phys. Rev. E / Distribution of current in nonequilibrium diffusive systems and phase transitions by Bodineau (2005)
  230. 10.1007/s10955-006-9048-4 / J. Statist. Phys. / Current large deviations for asymmetric exclusion processes with open boundaries by Bodineau (2006)
  231. 10.1016/j.spa.2003.10.005 / Stochastic Process. Appl. / From dynamic to static large deviations in boundary driven exclusion particle systems by Bodineau (2004)
  232. 10.1016/0370-1573(87)90110-4 / Phys. Rep. / Anomalous scaling laws in multifractal objects by Paladin (1987)
  233. 10.1016/0370-1573(90)90154-T / Phys. Rep. / Introduction to multifractals in dynamical systems theory and fully developed fluid turbulence by McCauley (1990)
  234. {'key': '10.1016/j.physrep.2009.05.002_b234', 'series-title': 'Techniques in Fractal Geometry', 'author': 'Falconer', 'year': '1997'} / Techniques in Fractal Geometry by Falconer (1997)
  235. 10.1016/S0304-4149(98)00066-0 / Stochastic Process. Appl. / Large deviations formalism for multifractals by Zohar (1999)
  236. 10.1142/S0218348X02000872 / Fractals / Large deviations of multifractal measures by Veneziano (2002)
  237. {'key': '10.1016/j.physrep.2009.05.002_b237', 'series-title': 'Multifractals: Theory and Applications', 'author': 'Harte', 'year': '2001'} / Multifractals: Theory and Applications by Harte (2001)
  238. 10.1143/PTP.84.18 / Progr. Theoret. Phys. / Linearities of the f(α) spectrum at bifurcations of chaos in dissipative differential systems by Tominaga (1990)
  239. 10.1143/PTP.81.11 / Progr. Theoret. Phys. / Singular local structures of chaotic attractors and q-phase transitions of spatial scaling structures by Hata (1989)
  240. 10.1007/s10955-006-9174-z / J. Statist. Phys. / Nonconcave entropies in multifractals and the thermodynamic formalism by Touchette (2006)
  241. 10.1006/jmaa.1995.1030 / J. Math. Anal. Appl. / An improved multifractal formalism and self-similar measures; by Riedi (1995)
  242. 10.1016/j.crma.2005.03.020 / C.R. Acad. Sci. Paris Ser. I / Transitions de phase dans l’analyse multifractale de mesures auto-similaires by Testud (2005)
  243. 10.1088/0951-7715/19/5/009 / Nonlinearity / Phase transitions for the multifractal analysis of self-similar measures by Testud (2006)
  244. {'key': '10.1016/j.physrep.2009.05.002_b244', 'article-title': 'Random perturbations of dynamical systems', 'volume': 'vol. 16', 'author': 'Kifer', 'year': '1988'} / Random perturbations of dynamical systems by Kifer (1988)
  245. 10.2307/2001571 / Trans. Amer. Math. Soc. / Large deviations in dynamical systems and stochastic processes by Kifer (1990)
  246. 10.1016/0370-1573(81)90186-1 / Phys. Rep. / Symbolic dynamics and hyperbolic dynamic systems by Alekseev (1981)
  247. 10.1103/RevModPhys.57.617 / Rev. Modern Phys. / Ergodic theory of chaos and strange attractors by Eckmann (1985)
  248. {'key': '10.1016/j.physrep.2009.05.002_b248', 'series-title': 'Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics', 'volume': 'vol. 97', 'author': 'Lasota', 'year': '1994'} / Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics by Lasota (1994)
  249. 10.1007/BF01217908 / Comm. Math. Phys. / The thermodynamic formalism for expanding maps by Ruelle (1989)
  250. 10.1070/RM1972v027n04ABEH001383 / Russ. Math. Surveys / Gibbs measures in ergodic theory by Sinai (1972)
  251. {'key': '10.1016/j.physrep.2009.05.002_b251', 'series-title': 'Topics in Ergodic Theory', 'author': 'Sinai', 'year': '1994'} / Topics in Ergodic Theory by Sinai (1994)
  252. {'key': '10.1016/j.physrep.2009.05.002_b252', 'series-title': 'Equilibrium States in Ergodic Theory', 'volume': 'vol. 42', 'author': 'Keller', 'year': '1998'} / Equilibrium States in Ergodic Theory by Keller (1998)
  253. 10.1143/PTP.64.1532 / Progr. Theoret. Phys. / Statistical mechanics of deterministic chaos: The case of one-dimensional discrete process by Kai (1980)
  254. 10.1143/PTPS.99.1 / Progr. Theoret. Phys. Suppl. / Statistical mechanics of dynamical systems by Mori (1989)
  255. 10.1143/PTP.71.851 / Progr. Theoret. Phys. / Towards the statistical mechanics of chaos by Takahashi (1984)
  256. 10.2307/2001318 / Trans. Amer. Math. Soc. / Some large deviation results for dynamical systems by Young (1990)
  257. 10.1088/0951-7715/3/2/013 / Nonlinearity / Entropy and large deviation by Lopes (1990)
  258. 10.1016/S0294-1449(16)30110-X / Ann. Inst. Poincaré C / Large deviation asymptotics for Anosov flows by Waddington (1996)
  259. 10.1088/0951-7715/11/4/023 / Nonlinearity / Large deviations for maps with indifferent fixed points by Pollicott (1998)
  260. {'key': '10.1016/j.physrep.2009.05.002_b260', 'series-title': 'Entropy', 'first-page': '313', 'article-title': 'Entropy in dynamical systems', 'author': 'Young', 'year': '2003'} / Entropy / Entropy in dynamical systems by Young (2003)
  261. 10.1007/s00220-002-0764-6 / Comm. Math. Phys. / Large deviations and a fluctuation symmetry for chaotic homeomorphisms by Maes (2003)
  262. J. Tailleur, Grandes déviations, physique statistique et systèmes dynamiques, Ph.D. Thesis, Université Pierre et Marie Curie, Paris, 2007
  263. 10.1143/PTP.60.1944 / Progr. Theoret. Phys. / A heuristic approach to the Kolmogorov entropy as a disorder parameter by Oono (1978)
  264. 10.1143/PTP.63.1804 / Progr. Theoret. Phys. / Chaos, external noise and Fredholm theory by Oono (1980)
  265. {'key': '10.1016/j.physrep.2009.05.002_b265', 'series-title': 'Proceedings of the Conference on Random Walks', 'first-page': '127', 'article-title': 'Large deviations for one-dimentional random walk in a random environment — A survey', 'volume': 'vol. 9', 'author': 'Gantert', 'year': '1999'} / Proceedings of the Conference on Random Walks / Large deviations for one-dimentional random walk in a random environment — A survey by Gantert (1999)
  266. 10.1007/s004400000074 / Probab. Theory Related Fields / Quenched, annealed and functional large deviations for one-dimensional random walk in random environment by Comets (2000)
  267. 10.1002/cpa.10093 / Comm. Pure Appl. Math. / Large deviations for random walks in a random environment by Varadhan (2003)
  268. 10.1088/0305-4470/39/40/R01 / J. Phys. A: Math. Gen. / Random walks in random environments by Zeitouni (2006)
  269. 10.1142/S0217979201002552 / Internat. J. Modern Phys. B / Large deviations and the random energy model by Dorlas (2001)
  270. 10.1088/0305-4470/35/20/301 / J. Phys. A: Math. Gen. / Large deviation approach to the generalized random energy model by Dorlas (2002)
  271. 10.1007/s10955-006-9108-9 / J. Statist. Phys. / Large deviations, Guerra’s and A.S.S. schemes, and the Parisi hypothesis by Talagrand (2007)
  272. {'key': '10.1016/j.physrep.2009.05.002_b272', 'series-title': 'Spin Glasses: A Challenge for Mathematicians', 'author': 'Talagrand', 'year': '2003'} / Spin Glasses: A Challenge for Mathematicians by Talagrand (2003)
  273. {'key': '10.1016/j.physrep.2009.05.002_b273', 'series-title': 'Statistical Mechanics of Disordered Systems: A Mathematical Perspective', 'author': 'Bovier', 'year': '2006'} / Statistical Mechanics of Disordered Systems: A Mathematical Perspective by Bovier (2006)
  274. {'key': '10.1016/j.physrep.2009.05.002_b274', 'series-title': 'Information, Physics, and Computation', 'author': 'Mézard', 'year': '2009'} / Information, Physics, and Computation by Mézard (2009)
  275. 10.1007/BF01218583 / Comm. Math. Phys. / The free energy of quantum spin systems and large deviations by Cegla (1988)
  276. 10.1007/BF01218477 / Comm. Math. Phys. / The large deviation principle and some models of an interacting boson gas by van den Berg (1988)
  277. 10.1007/s10955-005-7582-0 / J. Statist. Phys. / Long cycles in a perturbed mean field model of a boson gas by Dorlas (2005)
  278. M. Lenci, Classical billiards and quantum large deviations, Ph.D. Thesis, Rutgers University, New Brunswick, N.J., 1999
  279. 10.1063/1.533185 / J. Math. Phys. / Large deviations for ideal quantum systems by Lebowitz (2000)
  280. 10.1023/A:1019766826534 / J. Statist. Phys. / Large deviations in rarefied quantum gases by Gallavotti (2002)
  281. 10.1063/1.2812417 / J. Math. Phys. / Large deviations and Chernoff bound for certain correlated states on a spin chain by Hiai (2007)
  282. 10.1007/s10955-005-3015-3 / J. Statist. Phys. / Large deviations in quantum lattice systems: One-phase region by Lenci (2005)
  283. 10.1007/s10955-004-3452-4 / J. Statist. Phys. / Large deviations for quantum spin systems by Netočný (2004)
  284. 10.1007/BF01217806 / Comm. Math. Phys. / Asymptotics of Varadhan-type and the Gibbs variational principle by Petz (1989)
  285. 10.1007/s00220-005-1426-2 / Comm. Math. Phys. / A quantum version of Sanov’s Theorem by Bjelaković (2005)
  286. 10.1142/S0129055X06002565 / Rev. Math. Phys. / Quantum state estimation and large deviations by Keyl (2006)
  287. 10.1103/PhysRevLett.98.160501 / Phys. Rev. Lett. / Discriminating states: The quantum chernoff bound by Audenaert (2007)
  288. 10.1023/B:PRIT.0000011275.66657.5a / Probab. Inform. Trans. / Large deviations in quantum information theory by Ahlswede (2003)
  289. {'key': '10.1016/j.physrep.2009.05.002_b289', 'series-title': 'Quantum Probability and Applications II', 'first-page': '104', 'article-title': 'Estimates of quantum deviations from classical mechanics using large deviation results', 'volume': 'vol. 1136', 'author': 'Blanchard', 'year': '1985'} / Quantum Probability and Applications II / Estimates of quantum deviations from classical mechanics using large deviation results by Blanchard (1985)
  290. {'key': '10.1016/j.physrep.2009.05.002_b290', 'article-title': 'The theory of large deviations and applications to statistical mechanics', 'author': 'Ellis', 'year': '2006'} / The theory of large deviations and applications to statistical mechanics by Ellis (2006)
  291. {'key': '10.1016/j.physrep.2009.05.002_b291', 'series-title': 'Statistical Mechanics', 'author': 'Fowler', 'year': '1966'} / Statistical Mechanics by Fowler (1966)
  292. {'key': '10.1016/j.physrep.2009.05.002_b292', 'series-title': 'An Introduction to Probability Theory and its Applications, vol. II', 'author': 'Feller', 'year': '1970'} / An Introduction to Probability Theory and its Applications, vol. II by Feller (1970)
Dates
Type When
Created 16 years, 2 months ago (June 9, 2009, 4:42 a.m.)
Deposited 2 years, 3 months ago (May 25, 2023, 12:23 p.m.)
Indexed 2 weeks, 6 days ago (Aug. 6, 2025, 9:39 a.m.)
Issued 16 years, 1 month ago (July 1, 2009)
Published 16 years, 1 month ago (July 1, 2009)
Published Print 16 years, 1 month ago (July 1, 2009)
Funders 0

None

@article{Touchette_2009, title={The large deviation approach to statistical mechanics}, volume={478}, ISSN={0370-1573}, url={http://dx.doi.org/10.1016/j.physrep.2009.05.002}, DOI={10.1016/j.physrep.2009.05.002}, number={1–3}, journal={Physics Reports}, publisher={Elsevier BV}, author={Touchette, Hugo}, year={2009}, month=jul, pages={1–69} }