The ehrenfest fleas: From model to theory

Synthese

Volumn 139, Issue 1, 2004, Pages 107-142

  Costantini, D ^a   Garibaldi, U ^b  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11144244903     PISSN: 00397857     EISSN: 15730964     Source Type: Journal    
DOI: 10.1023/B:SYNT.0000021307.64103.b8     Document Type: Article

References (40)

1. Aoki, M.: 1996, New Approaches to Macroeconomic Modelling, University Press, Cambridge.
2. Aoki, M.: 2002, Modelling Aggregate Behavior and Fluctuation in Economics, University Press, Cambridge.
3. Ageno, M.: 1992, Le origini della irreversibilità, Bollati-Boringhieri, Torino.
4. Boltzmann, L.: 1909, 1, 'Studien ueber das Gleichgewicht der lebendigen Kraft zwischen bewegten materielle Punkten' (1968), in F. Hasenoehrl (ed.), Wissenschaftliche Abhandlungen, Vol. 1, Leipzig, Earth, pp. 49-96.
5. Brillouin, L.: 1927, 'Comparaison des différentes statistiques appliqué aux problèmes des quanta', Ann. Phys. (Paris) VII, 315-331.
6. Carnap, R.: 1963, Logical Foundations of Probability (1950), The University of Chicago Press, Chicago.
7. Carnap, R.: 1952, The Continuum of Inductive Methods, University of Chicago Press, Chicago.
8. Cont, R. and J. P. Bouchaud: 2000, 'Herd Behaviour and Aggregate Fluctuations in Financial Markets', Jour. Macroeconomic Dynamics, 4, 170-196, June.
9. Cook, R. and D. Costantini (eds): 1990, Statistics in Science, Kluwer Academic Publishers, Dordrecht.
10. Costantini, D.: 1987 'Symmetry and the Indistinguishability of Classical Particles', Physics Letters A 123, 433-436.
11. Costantini, D. and U. Garibaldi: 1989, 'Classical and Quantum Statistics as Finite Random Processes', Foundations of Physics 19, 743-754.
12. Costantini, D. and U. Garibaldi: 1991, 'Una formulazione probabilistica del principle di esclusione di Pauli nel conteste delle inferenze predittive', Statistica LI, 21-34.
13. Costantini, D. and U. Garibaldi: 1997, 'A Probabilistic Foundation of Elementary Particle Statistics. Part I', Stud. Hist. Phil. Mod. Phys. 28, 483-506.
14. Costantini, D. and U. Garibaldi: 1998, 'A Probabilistic Foundation of Elementary Particle Statistics. Part II', Stud. Hist. Phil. Mod. Phys. 29, 37-59.
15. Costantini, D. and U. Garibaldi: 2000, 'A Purely Probabilistic Representation for the Dynamics of a Gas of Particles', Foundations of Physics 30, 81-99.
16. Costantini, D., U. Garibaldi, and M. A. Penco: 1996, 'Ludwig Boltzmann alla nascita della meccanica Statistica', Statistica LVI, 279-300.
17. Costantini, D. and U. Garibaldi: 'Liouville Equation and Markov Chains: Epistemic and Ontological Probability" (to appear in Proc. of the Q. S. A. Conference, Cesena 2001).
18. Ehrenfest, P. and T. Ehrenfest: 1907, 'Ueber zwei bekannte Einwaende gegen Boltzmanns H-Theorem', Phys. Zeitschrift 8, 311-316.
19. Ewens, W. J.: 1972, 'The Sampling Theory of Selectively Neutral Alleles', Theor. Pop. Biol. 3, 87-112.
20. Fisher, R. A.: 1930, The Genetical Theory of Natural Selection, Clarendon Press, Oxford.
21. Garibaldi, U. and M. A. Penco: 2000 'Ehrenfest urn model generalized: a model for economic time series', Statistica applicata 12, 249-272.
22. Hacking, I.: 1975, The Emergence of Probability, University Press, Cambridge.
23. Jancel, R.: 1963, Foundations of Classical and Quantum Statistical Mechanics, Pergamon Press, Oxford.
24. Jaynes, E. T.: 1996, Probability Theory: The Logic of Science, Fragmentary Edition. http://bayes.wustl.edu/etj/prob.html
25. Johnson, N. L., S. Kotz, and N. Balakrishnam: 1997, Multivariate Discrete Distributions, Wiley New York; Tavaré, Chapter 41.
26. Johnson, W. E.: 1932, 'Probability: The Relations of Proposal to Supposai; Probability: Axioms; Probability: The Deductive and the Inductive Problems', Mind 41, 1-16, 281-296, 409-423.
27. Kaĉ, M.: 1959, Probability and Related Topics in Physical Science, Interscience Publishers, London.
28. Kelly, F. P.: 1979, Reversibility and Stochastic Networks, Wiley, Chichester.
29. Keynes, J. M.: 1962, A Treatise on Probability (1921), Harper Torchbook, New York.
30. Kingman, J. F. C.: 1978, "The Representation of Partition Structures', Journal London Mathematical Society 18 374-380.
31. Moran, P. A. P.: 1958, 'Random Processes in Genetics', Proc. Camb. Phil. Soc. 54, 69-71.
32. Penrose, O.: 1970, Foundations of Statistical Mechanics, Pergamon Press, Oxford.
33. Scardovi, I.: 1982, 'The Idea of Chance in the Statistical Intuition of Natural variability', Genus XXXVIII, 1-17.
34. Sudarshan E. C. G. and J. Mehra: 1970, 'Classical Statistical Mechanics of Identical Particles and Quantum Effects', Inter. J. Theoretical Phys. 3, 245.
35. Tolman, R. C.: 1979, The Principles of Statistical Mechanics (1938), Dover New York.
36. von Mises, R.: 1920, 'Ausschaltung der Ergodenhypothese in der physicalischen Statistik. I. Allgemainne Betrachtungen' and 'Ausschaltung der Ergodenhypothese in der physicalischen Statistik. II. Brownsche Bewegung als Beispiel', Physik. Zeitschr. XXI, 225-232, 256-262.
37. von Mises, R.: 1957, Probability, Statistics and Truth, George Allen and Unwin Ltd., London.
38. von Plato, J.: 1994, Creating Modem Probability, University Press, Cambridge.
39. Wright, S.: 1931, 'Evolution in Mendelian Populations', Genetics 16, 97-159.
40. Zabell, S. L.: 1996, 'The Continuum of Inductive Methods Revisited', The Cosmos of Science, Pittsburg-Konstanz Series in Phil. Hist, of Sc., Pittsburg Uni-press and Konstanz ' Uni-Verl.