Entropy and a generalisation of "Poincaré's Observation"

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 135, Issue 2, 2003, Pages 375-384

  Johnson, Oliver ^a  

^a CMS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141529857     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004103006881     Document Type: Conference Paper

References (16)

1. K. A. BOROVKOV. On the convergence of projections of uniform distributions on balls. Theory Probab. Appl. 35 (1991), 546-550.
2. F. COMETS and O. ZEITOUNI. Information estimates and Markov random fields. Markov Process. Related Fields 5 (1999), 269-291.
3. I. CSISZÁR. I-divergence geometry of probability distributions, and minimization problems. Ann. Probab. 3 (1975), 146-158.
4. I. CSISZÁR. Sanov property, generalized I-projection and a conditional limit theorem. Ann. Probab. 12 (1984), 768-793.
5. A. DEMBO and O. ZEITOUNI. Refinements of the Gibbs conditioning principle. Probab. Theory Related Fields 104 (1996), 1-14.
6. P. DIACONIS and D. FREEDMAN. A dozen de Finetti-style results in search of a theory. Ann. Inat. H. Poincaré Probab. Statist. 23 (1987), 397-423.
7. R. L. DOBRUSHIN and B. TIROZZI. The central limit theorem and the problem of equivalence of ensembles. Comm. Math. Phys. 54 (1977), 173-192.
8. H. O. GEORGII. Gibbs measures and phase transitions (de Gruyter, 1988).
9. H. O. GEORGII. The equivalence of ensembles for classical systems of particles. J. Statist. Phys. 80 (1995), 1341-1378.
10. B. V. GNEDENKO and A. N. KOLMOGOROV. Limit distributions for sums of independent random variables (Addison-Wesley, 1954).
11. S. KULLBACK. A lower bound for discrimination information in terms of variation. IEEE Trans. Inform. Theory 13 (1967), 126-127.
12. M. LEDOUX and M. TALAGRAND. Probability in Banach spaces (Springer-Verlag, 1991).
13. F. G. MEHLER. Uber die entwicklung einer function von beliebig vielen variablen nach Laplaschen functionen höherer ordnung. Crelle's Journal 66 (1866), 161-176.
14. I. J. SCHOENBERG. Metric spaces and positive definite functions. Trans. Amer. Math. Soc. 44 (1938), 522-536.
15. C. SCHROEDER. I-projection and conditional limit theorems for discrete parameter Markov Processes. Ann. Probab. 21 (1993), 721-758.
16. E. C. TITCHMARSH. Introduction to the theory of Fourier integrals (Oxford, 1937).