Crossref journal-article
AIP Publishing
Physics Today (317)
Abstract

An early theme in probability was calculating the fair ante for various games of chance. Nicolas Bernoulli introduced a seemingly innocent game, first published in 1713, that yielded a paradoxical result. The result has become known as the St. Petersburg paradox, because of an analysis written later by Daniel Bernoulli in the Commentary of the St. Petersburg Academy.

Bibliography

Scher, H., Shlesinger, M. F., & Bendler, J. T. (1991). Time-Scale Invariance in Transport and Relaxation. Physics Today, 44(1), 26–34.

Authors 3
  1. Harvey Scher (first)
  2. Michael F. Shlesinger (additional)
  3. John T. Bendler (additional)
References 37 Referenced 488
  1. {'key': '2023070617530771800_r1'}
  2. 10.1063/1.1704269 / J. Math. Phys. (1965)
  3. 10.1007/BF01016843 / J. Stat. Phys. (1973)
  4. 10.1007/BF01008803 / J. Stat. Phys. (1974)
  5. {'key': '2023070617530771800_r3b', 'first-page': '2455', 'volume': '12', 'year': '1975', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1975)
  6. 10.1103/PhysRevB.2.5025 / Phys. Rev. B (1970)
  7. 10.1103/PhysRevLett.33.1474 / Phys. Rev. Lett. (1974)
  8. {'key': '2023070617530771800_r5'}
  9. 10.1080/00018737800101474 / Adv. Phys. (1978)
  10. {'key': '2023070617530771800_r6'}
  11. 10.1103/PhysRevLett.58.152 / Phys. Rev. Lett. (1987)
  12. 10.1109/TNS.1978.4329519 / IEEE Trans. Nucl. Sci. (1978)
  13. {'key': '2023070617530771800_r8a'}
  14. 10.1103/PhysRevB.16.2362 / Phys. Rev. B (1977)
  15. 10.1103/PhysRevB.16.4466 / Phys. Rev. B (1977)
  16. 10.1080/13642817908245999 / Philos. Mag. (1979)
  17. {'key': '2023070617530771800_r9c', 'first-page': '49', 'volume': '37', 'year': '1981', 'journal-title': 'Solid State Commun.'} / Solid State Commun. (1981)
  18. 10.1080/13642818208246421 / Philos. Mag. B (1982)
  19. 10.1103/PhysRevB.35.1273 / Phys. Rev. (1987)
  20. 10.1146/annurev.pc.39.100188.001413 / Annu. Rev. Phys. Chem. (1988)
  21. 10.1080/13642819008208650 / Philos. Mag. B (1990)
  22. 10.1146/annurev.pc.40.100189.000245 / Annu. Rev. Phys. Chem. (1989)
  23. 10.1039/tf9706600080 / Trans. Faraday Soc. (1970)
  24. {'key': '2023070617530771800_r14'}
  25. 10.1103/PhysRevLett.59.1037 / Phys. Rev. Lett. (1987)
  26. 10.1080/13642818708221319 / Philos. Mag. B (1987)
  27. {'key': '2023070617530771800_r15b'}
  28. {'key': '2023070617530771800_r16', 'first-page': '352', 'volume': '119', 'year': '1863', 'journal-title': 'Pogg. Ann. Phys.'} / Pogg. Ann. Phys. (1863)
  29. {'key': '2023070617530771800_r17'}
  30. 10.1002/9780470142684.ch6 / Adv. Chem. Phys. (1981)
  31. 10.1103/PhysRevLett.53.958 / Phys. Rev. Lett. (1984)
  32. 10.1073/pnas.83.4.848 / Proc. Natl. Acad. Sci. USA (1986)
  33. 10.1063/1.1731414 / J. Chem. Phys. (1960)
  34. 10.1021/ma00188a009 / Macromolecules (1988)
  35. 10.1111/j.1749-6632.1981.tb55458.x / Ann. N. Y. Acad. Sci. (1981)
  36. 10.1021/ma00238a032 / Macromolecules (1983)
  37. {'key': '2023070617530771800_r23'}
Dates
Type When
Created 17 years, 7 months ago (Jan. 10, 2008, 10:41 a.m.)
Deposited 1 year, 6 months ago (Feb. 20, 2024, 11:45 p.m.)
Indexed 3 weeks, 1 day ago (Aug. 6, 2025, 9:59 a.m.)
Issued 34 years, 7 months ago (Jan. 1, 1991)
Published 34 years, 7 months ago (Jan. 1, 1991)
Published Online 17 years, 7 months ago (Jan. 8, 2008)
Published Print 34 years, 7 months ago (Jan. 1, 1991)
Funders 0

None

@article{Scher_1991, title={Time-Scale Invariance in Transport and Relaxation}, volume={44}, ISSN={1945-0699}, url={http://dx.doi.org/10.1063/1.881289}, DOI={10.1063/1.881289}, number={1}, journal={Physics Today}, publisher={AIP Publishing}, author={Scher, Harvey and Shlesinger, Michael F. and Bendler, John T.}, year={1991}, month=jan, pages={26–34} }