DOI: 10.1007/bf01388579. On the rate of mixing of Axiom A flows

On the rate of mixing of Axiom A flows

10.1007/bf01388579

Crossref journal-article

Springer Science and Business Media LLC

Inventiones Mathematicae (297)

Bibliography

Pollicott, M. (1985). On the rate of mixing of Axiom A flows. Inventiones Mathematicae, 81(3), 413â426.

Authors 1

Mark Pollicott (first)

References 33 Referenced 175

Arnold, V.I., Avez, A.: Ergodic problems of classical mechanics. New York: Benjamin 1968 / Ergodic problems of classical mechanics by V.I. Arnold (1968)
Bowen, R.: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. S.L.N.470, Berlin-Heidelberg-New York: Springer 1975 (10.1007/BFb0081279) / Equilibrium states and the ergodic theory of Anosov diffeomorphisms / S.L.N. by R. Bowen (1975)
Bowen, R.: On Axiom A diffeomorphisms. Am. Math. Soc. Regional Conf. Proc. No.35, Providence 1978
Bowen, R.: Symbolic dynamics for hyperbolic flows. Am J. Math.95, 429?459 (1973) (10.2307/2373793) / Am J. Math. by R. Bowen (1973)
Bowen, R.: Periodic orbits for hyperbolic flows. Am. J. Math.94, 1?30 (1972) (10.2307/2373590) / Am. J. Math. by R. Bowen (1972)
Bowen, R., Ruelle, D.: The ergodic theory of Axiom A flows. Invent. Math.29, 181?202 (1975) (10.1007/BF01389848) / Invent. Math. by R. Bowen (1975)
Bowen, R., Walters, P.: Expansive one-parameter flows. J. Differ. Equations12, 180?193 (1972) (10.1016/0022-0396(72)90013-7) / J. Differ. Equations by R. Bowen (1972)
Bowen, R., Series, C.: Markov maps associated with Fuchsian groups. Publ. Math. Inst. Hautes Etud. Sci.50, 153?170 (1979) (10.1007/BF02684772) / Publ. Math. Inst. Hautes Etud. Sci. by R. Bowen (1979)
Collet, P., Epstein, H., Gallavotti, G.: Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties. Commun. Math. Phys.95, 61?112 (1984) (10.1007/BF01215756) / Commun. Math. Phys. by P. Collet (1984)
Cornfeld, I.P., Fomin, S.V., Sinai, Y.G.: Ergodic Theory. Berlin-Heidelberg-New York: Springer 1982 (10.1007/978-1-4615-6927-5) / Ergodic Theory by I.P. Cornfeld (1982)
Fomin, S.V., Gelfand, I.M.: Geodesic flows on manifolds of constant negative curvature. Transl. Am. Math. Soc.1, 49?65 (1955) (10.1090/trans2/001/04) / Transl. Am. Math. Soc. by S.V. Fomin (1955)
Gallavotti, G.: Funzioni zeta ed insiemi basilar. Accad. Lincei. Rend. Sc. fismat. e mat.61, 309?317 (1976) / Accad. Lincei. Rend. Sc. fismat. e mat. by G. Gallavotti (1976)
Hardy, G.H., Wright, E.M.: An introduction to the theory of numbers. Oxford: O.U.P. 1983 / An introduction to the theory of numbers by G.H. Hardy (1983)
Hejhal, D.A.: The Selberg trace formula and the Riemann zeta function. Duke Math. J.43 441?482 (1976) (10.1215/S0012-7094-76-04338-6) / Duke Math. J. by D.A. Hejhal (1976)
Katznelson, Y.: An introduction to harmonic analysis. Dover: New York 1976 / An introduction to harmonic analysis by Y. Katznelson (1976)
Manning, A.: Axiom A diffeomorphisms have rational zeta functions. Bull. London Math. Soc.3, 215?220 (1971) (10.1112/blms/3.2.215) / Bull. London Math. Soc. by A. Manning (1971)
Parry, W.: Intrinsic Markov Chains. Trans. Am. Math. Soc.112, 55?65 (1964) (10.1090/S0002-9947-1964-0161372-1) / Trans. Am. Math. Soc. by W. Parry (1964)
Parry, W.: Topics in Ergodic theory. Cambridge: C.U.P. 1981 / Topics in Ergodic theory by W. Parry (1981)
Parry, W., Pollicott, M.: An analogue of the prime number theorem for closed orbits of Axiom A flows. Ann. Math.118, 573?591 (1983) (10.2307/2006982) / Ann. Math. by W. Parry (1983)
Pollicott, M.: Meromorphic extensions of generalised zeta functions (Preprint)
Pollicott, M.: Asymptotic distribution of closed geodesics (To appear in Isr. J. Math.)
Ruelle, D.: Flows which do not exponentially mix. C.R. Acad. Sci. Paris296, 191?194 (1983) / C.R. Acad. Sci. Paris by D. Ruelle (1983)
Ruelle, D.: Thermodynamic formalism. Reading: Addison-Weley 1978 / Thermodynamic formalism by D. Ruelle (1978)
Ruelle, D.: Zeta functions for expanding maps and Anosov flows. Invent. Math.34, 23L-242 (1976) (10.1007/BF01403069) / Invent. Math. by D. Ruelle (1976)
Series, C.: Symbolic dynamics for geodesic flows. Acta Math.146, 103?128 (1981) (10.1007/BF02392459) / Acta Math. by C. Series (1981)
Schoen, R., Wolpert, S., Yau, S.T.: Geometric bounds on the low eigenvalues of a compact surface. In: Proc. Symp. Pure Math.36 (1980) (10.1090/pspum/036/573440)
Sinai, Y.G.: Gibbs measures in ergodic. theory. Russ. Math. Surv.27, 21?69 (1972) (10.1070/RM1972v027n04ABEH001383) / Russ. Math. Surv. by Y.G. Sinai (1972)
Smale, S.: Differentiable dynamical systems. Bull. Am. Math. Soc.73, 747?817 (1967) (10.1090/S0002-9904-1967-11798-1) / Bull. Am. Math. Soc. by S. Smale (1967)
Tuncel, S.: Conditional pressure and coding. Isr. J. Math.39, 101?112 (1981) (10.1007/BF02762856) / Isr. J. Math. by S. Tuncel (1981)
Venkov, A.B.: Spectral theory of automorphic functions, the selberg zeta function, and some problems of analytic number theory and mathematical physics. Russ. Math. Surv.34, 79?153 (1979) (10.1070/RM1979v034n03ABEH004000) / Russ. Math. Surv. by A.B. Venkov (1979)
Walters, P.: A variational principle for the pressure of continuous transformations. Am. J. Math.97, 937?971 (1976) (10.2307/2373682) / Am. J. Math. by P. Walters (1976)
Walters, P.: An introduction to ergodic theory. G.T.M.79, Berlin-Heidelberg-New York: Springer 1981 / An introduction to ergodic theory / G.T.M. by P. Walters (1981)
Walters, P.: Ruelle's operator theorem andg-measures. Trans. Am. Math. Soc.214, 375?387 (1975) / Trans. Am. Math. Soc. by P. Walters (1975)

Dates

Type	When
Created	20 years, 5 months ago (April 2, 2005, 1:50 a.m.)
Deposited	6 years, 4 months ago (May 2, 2019, 12:23 p.m.)
Indexed	3 days ago (Sept. 3, 2025, 6:21 a.m.)
Issued	39 years, 11 months ago (Oct. 1, 1985)
Published	39 years, 11 months ago (Oct. 1, 1985)
Published Print	39 years, 11 months ago (Oct. 1, 1985)

Funders 0

None

BibTeX

@article{Pollicott_1985, title={On the rate of mixing of Axiom A flows}, volume={81}, ISSN={1432-1297}, url={http://dx.doi.org/10.1007/bf01388579}, DOI={10.1007/bf01388579}, number={3}, journal={Inventiones Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Pollicott, Mark}, year={1985}, month=oct, pages={413–426} }

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