Linked bibliography for the SEP article "The Ergodic Hierarchy" by Roman Frigg |
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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.
- Alekseev, V. M., and Yakobson, M. V., 1981. “Symbolic dynamics and hyperbolic dynamical systems,” Physics Reports, 75: 287–325. (Scholar)
- Argyris, J., Faust, G. and Haase, M., 1994, An Exploration of Chaos, Amsterdam: Elsevier. (Scholar)
- Albert, D., 2000, Time and Chance, Cambridge/MA and London: Harvard University Press. (Scholar)
- Arnold, V. I. and Avez, A., 1968, Ergodic Problems of Classical Mechanics, New York: Wiley. (Scholar)
- Belot, G., and Earman, J., 1997, “Chaos out of order: Quantum mechanics, the correspondence principle and chaos,” Studies in the History and Philosophy of Modern Physics, 28: 147–182. (Scholar)
- Berkovitz, J., Frigg, R. and Kronz, F., 2006, “The Ergodic Hierarchy, Randomness and Hamiltonian Chaos,” Studies in History and Philosophy of Modern Physics, 37: 661–691. (Scholar)
- Birkhoff, G. D., 1931, “Proof of a Recurrence Theorem for Strongly Transitive Systems,” and “Proof of the Ergodic Theorem,” Proceedings of the National Academy of Sciences, 17: 650–660. (Scholar)
- Birkhoff, G. D. and Koopman, B. O., 1932, “Recent Contributions to the Ergodic Theory,” Proceedings of the National Academy of Sciences, 18: 279–282. (Scholar)
- Boltzmann, L., 1868, “Studien über das Gleichgewicht der lebendigen Kraft zwischen bewegten materiellen Punkten,” Wiener Berichte, 58: 517–560, (Scholar)
- –––, 1871, “Über das Wärmegleichgewicht zwischen mehratomigen Gasmolekülen,” Wiener Berichte, 63: 397–418. (Scholar)
- –––, 1877, “Über die beziehung zwischen dem zweiten hauptsatze der mechanischen wärmetheorie und der wahrscheinlichkeitsrechnung resp. den sätzen über das wärmegleichgewicht”, Wiener Berichte 76, 373–435. Reprinted in F. Hasenöhrl (ed.), Wissenschaftliche Abhandlungen. Leipzig: J. A. Barth 1909, Volume 2, pp. 164–223.
- Bricmont, J., 2001, “Bayes, Boltzmann, and Bohm: Probabilities in Physics”, in J. Bricmont et al., Lecture Notes in Physics (Volume 574), Berlin: Springer-Verlag, 2001, pp. 3–21. (Scholar)
- Brudno, A. A., 1978, “The complexity of the trajectory of a dynamical system,” Russian Mathematical Surveys, 33: 197–198. (Scholar)
- Brush, S. G., 1976, The Kind of Motion We Call Heat, Amsterdam: North Holland Publishing. (Scholar)
- Cohen, I. B., 1966, “Newton's Second Law and the Concept of Force in the Principia,” Texas Quarterly, 10(3): 127–157. (Scholar)
- Cornfeld, I. P., Fomin, S. V., and Sinai, Y. G., 1982, Ergodic Theory, Berlin and New York: Springer. (Scholar)
- Degas, R., 1955, A History of Mechanics, Neuchatel: Editions du Griffon; reprinted New York: Dover, 1988. (Scholar)
- Descartes, R., 1644, Principles of Philosophy, edited by V. R. Miller and R. P. Miller, Dordrecht: D. Reidel Publishing Co., 1983. (Scholar)
- Dijksterhuis, E. J., 1961, The Mechanization of the World Picture, Oxford: Oxford University Press; Princeton: Princeton University Press, 1986. (Scholar)
- Earman, J., 1986, A Primer on Determinism, Dordrecht: D. Reidel Publishing Company. (Scholar)
- Earman, J. and Redei, M., 1996, “Why ergodic theory does not explain the success of equilibrium statistical mechanics,” British Journal for the Philosophy of Science, 47: 63–78. (Scholar)
- Frigg, R., 2004, “In What Sense Is the Kolmogorov-Sinai Entropy a Measure for Chaotic Behaviour?—Bridging the Gap Between Dynamical Systems Theory and Communication Theory,” British Journal for the Philosophy of Science, 55: 411–434. (Scholar)
- –––, 2008, “A Field Guide to Recent Work on the Foundations of Statistical Mechanics,” in Dean Rickles (ed.), The Ashgate Companion to Contemporary Philosophy of Physics, London: Ashgate, 99–196. (Scholar)
- ––, 2009, “Typicality and the Approach to Equilibrium in Boltzmannian Statistical Mechanics”, Philosophy of Science (Supplement), 76: 997–1008.
- –––, 2010, “Probability in Boltzmannian Statistical Mechanics,” in Gerhard Ernst and Andreas Hüttemann (eds.), Time, Chance and Reduction. Philosophical Aspects of Statistical Mechanics, Cambridge: Cambridge University Press. (Scholar)
- –– and Charlotte Werndl, 2011, “Explaining the Approach to Equilibrium in Terms of Epsilon-Ergodicity”, forthcoming in Philosophy of Science. (Scholar)
- Garber, D., 1992, “Descartes’ Physics,” in The Cambridge Companion to Descartes, John Cottingham (ed.), Cambridge: Cambridge University Press. (Scholar)
- Gibbs, J. W., 1902, Elementary Principles in Statistical Mechanics, Woodbridge: Ox Bow Press, 1981. (Scholar)
- Hume, D., 1739, A Treatise of Human Nature, L. A. Selby-Bigge (ed.), with notes by P. H. Nidditch, Oxford: Oxford University Press, 1978. (Scholar)
- Khinchin, A. I., 1949, Mathematical Foundations of Statistical Mechanics, Mineola, NY: Dover Publications 1960. (Scholar)
- Koopman, B., 1931, “Hamiltonian Systems and Hilbert Space,” Proceedings of the National Academy of Sciences, 17: 315–318. (Scholar)
- Lanczos, C., 1970, The Variational Principles of Mechanics, Toronto: University of Toronto Press; New York: Dover Publications, 1986. (Scholar)
- Lavis, D., 2005, “Boltzmann and Gibbs: An Attempted reconciliation,” Studies in History and Philosophy of Modern Physics, 36: 245–73. (Scholar)
- Lichtenberg, A. J., and Liebermann, M. A., 1992, Regular and chaotic dynamics, 2nd edition, Berlin and New York: Springer. (Scholar)
- Malament, D. and Zabell, S., 1980, “Why Gibbs Phase Averages work – the Role of Ergodic Theory,” Philosophy of Science, 47: 339–349. (Scholar)
- Mañé, R., 1983, Ergodic Theory and Differentiable Dynamics, Berlin and New York: Springer. (Scholar)
- Markus, L., and Meyer, K. R., 1974, “Generic Hamiltonian Dynamical Systems are Neither Integrable nor Ergodic,” Memoirs of the American Mathematical Society, Providence, Rhode Island. (Scholar)
- Newton, I., 1687, Mathematical Principles of Natural Philosophy, edited by A. Motte and revised by F. Cajori, Berkeley: University of California Press, 1934. (Scholar)
- Ornstein, D. S., 1974, Ergodic theory, randomness, and dynamical systems, New Haven: Yale University Press. (Scholar)
- Ott, E., 1993, Chaos in dynamical systems, Cambridge: Cambridge University Press. (Scholar)
- Shields, P., 1973, The theory of Bernoulli shifts, Chicago: Chicago University Press. (Scholar)
- Simanyi, N., 2004, “Proof of the Ergodic Hypothesis for Typical Hard Ball Systems,” Ann. Henri Poincare, 5: 203–233. (Scholar)
- Sklar, L., 1993, Physics and Chance: Philosophical Issues in the Foundation of Statistical Mechanics, Cambridge: Cambridge University Press. (Scholar)
- Smith, P., 1998, Explaining Chaos, Cambridge: Cambridge University Press. (Scholar)
- Stroud, B., 1977, Hume, London: Routledge and Kegan Paul. (Scholar)
- Tabor, M., 1989, Chaos and integrability in nonlinear dynamics: An Introduction, New York: Wiley. (Scholar)
- Tolman, R. C., 1938, The Principles of Statistical Mechanics, Mineola, NY: Dover 1979. (Scholar)
- Torertti, R., 1999, The Philosophy of Physics, Cambridge: Cambridge University Press. (Scholar)
- Uffink, J., 2007, “Compendium of the foundations of classical statistical physics,” in J. Butterfield and J. Earman (eds.), Philosophy of Physics, Amsterdam: North Holland, 923–1047. (Scholar)
- Van Lith, J., 2001, “Ergodic theory, interpretations of probability and the foundations of statistical mechanics,” Studies in History and Philosophy of Modern Physics, 32: 581–94. (Scholar)
- Von Neumann, J., 1932, “Proof of the Quasi-Ergodic Hypothesis,” Proceedings of the National Academy of Sciences, 18: 70–82. (Scholar)
- Von Plato, J., 1992, “Boltzmann's Ergodic Hypothesis,” Archive for the History of exact Sciences, 44: 71–89 (Scholar)
- –––, 1994, Creating Modern Probability, Cambridge: Cambridge University Press. (Scholar)
- Vranas, P., 1998, “Epsilon-ergodicity and the success of equilibrium statistical mechanics,” Philosophy of Science, 68: 688–708. (Scholar)
- Werndl, C., 2009a, “Justifying Definitions in Mathematics–Going Beyond Lakatos,” Philosophia Mathematica, 17: 313–340. (Scholar)
- Werndl, C., 2009b, “What Are the New Implications of Chaos for Unpredictability?”, British Journal for the Philosophy of Science, 60(1): 195–220. (Scholar)
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