The foundational role of ergodic theory

Foundations of Science

Volumn 11, Issue 4, 2006, Pages 323-347

  Badino, Massimiliano ^a,b  

^a UNIVERSITY OF GENOA   (Italy)

^b MAX PLANCK INSTITUTE FOR THE HISTORY OF SCIENCE   (Germany)

Author keywords

Ergodic problem; Ergodic theory; Khinchin; Statistical mechanics

Indexed keywords

DYNAMIC NATURE; ERGODIC THEORY; ERGODICS; GENERAL NATURE; KHINCHIN; NONEQUILIBRIUM STATE; PHYSICAL QUANTITIES; THEORETICAL VALUES;

SOCIAL SCIENCES;

STATISTICAL MECHANICS;

EID: 33749183426     PISSN: 12331821     EISSN: 15728471     Source Type: Journal    
DOI: 10.1007/s10699-005-6283-0     Document Type: Article

References (20)

1. Badino, M. (2005). I due problemi fondamentali della meccanica statistica, La Goliardica, Pavia, forthcoming.
2. R.W. Batterman 1998 Why Equilibrium Statistical Mechanics Works: Universality and the Renormalization Group Philosophy of Science 65 183-208 10.1086/392634
3. S.G. Brush 1986 The Kind of Motion We Call Heat Amsterdam North Holland
4. K. Friedman 1976 A Partial Vindication of Ergodic Theory Philosophy of Science 43 151-162 10.1086/288675
5. Gallavotti. G. (1982). Aspetti della teoria ergodica qualitativa e statistica del moto. Pitagora, Bologna.
6. G. Gallavotti 1999 Statistical Mechanics Springer-Verlag New York
7. Y.M. Guttmann 1999 The Concept of Probability in Statistical Physics Cambridge University Press Cambridge
8. A. Haar 1933 Der Massbegriff in der Theorie der Kontinuierlichen Gruppen Annals of Mathematics 34 147-169 10.2307/1968346
9. R. Jancel 1963 Foundations of Classical and Quantum Statistical Mechanics Pergamon London
10. A.I. Khinchin 1949 Mathematical Foundations of Statistical Mechanics Dover New York
11. D. Malament S. Zabell 1980 Why Gibbs Phase Average Work - The Role of Ergodic Theory Philosophy of Science 47 339-349 10.1086/288941
12. M. Mathieu 1988 On the origin of the notion of Ergodic theory Expositiones Mathematicae 6 373-377
13. J.C. Oxtoby 1980 Measure and Category Springer New York
14. J. Von Plato 1982 The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability Synthese 53 419-432 10.1007/BF00486158
15. Von Plato, J. (1987). Probabilistic Physics: The Classical Way. In L. J. Daston, M. Heildeberg, L. Krüger (eds.), The Probabilistic Revolution. Cambridge: MIT Press, 379-407.
16. J. Von Plato 1992 Boltzmann's Ergodic Hypothesis Archive for the History of exact Sciences 44 71-89
17. J. Von Plato 1994 Creating Modern Probability Cambridge University Press Cambridge
18. L. Sklar 1993 Physics and Chance Cambridge University Press Cambridge
19. P. Quay 1978 A Philosophical Explanation of the Explanatory Function of Ergodic Theory Philosophy of Science 45 47-59 10.1086/288778
20. Truesdell, C. (1961). Ergodic Theory in Classical Statistical Mechanics. Rendiconti della Scuola Internazionale di Fisica 'Enrico Fermi', XIV, New York: Academic Press, 21-56.