Sur la mécanique statistique d'une particule brownienne sur le tore

 Access to full text

 Full (PDF)

1. [Al-Ho] S. Albeverio, R. Hoegh-Krohn : A remark on the connection between stochastic mechanics and the heat equation, J. Math. Phys.15, 1745 (1974) Zbl0291.60028MR389087
2. [Al-Bl-Ho] S. Albeverio, Ph. Blanchard, R. Hoegh-Krohn : Newtonian diffusions and planets, with a remark on a non-standart Dirichlet forms and polymers, "Stoch. Anal. and Appl.",Truman,Williams (eds)LN in Math.1095, Springer (1984) Zbl0547.60082MR777510
3. [Bl-Go] Ph. Blanchard, S. Golin : Diffusion processes with singular drift fields, Comm. Math. Phys.109 (1987) 421-435 Zbl0646.60066MR882809
4. [Co-Hi] R. Courant, D. Hilbert : Methoden der Mathamatischen Physik I, Springer Verlag, (1968) Zbl0156.23201MR344038
5. [De-St-Ze] J.-D. Deuschel, D.W. Stroock, H. Zessin : Microcanonical distributions for lattice gases, à paraitre dans Comm. Math. Phys. Zbl0727.60025MR1116411
6. [Do-Va] M.D. Donsker, S.R.S. Varadhan : Asymptotic evaluation of certain Wiener integrals for large time, Functional Integration and its Applic., Proc. International Conference Cumberland Lodge, London 1974, A.M. Arthurs (Ed.), Clarendon Press (1975) Zbl0333.60078MR486395
7. [Do-Va IV] M.D. Donsker, S.R.S. Varadhan : Asymptotic evaluation of certain Markov process expectations for large time, Comm. Pure Appl. Math.36 (1983) p.183-212 Zbl0512.60068MR690656
8. [Ka] M. Kac : On some connections between probability theory and differentialand integral equations, Proc. 2nd Berkeley Symp. (1950) p.189-215 Zbl0045.07002MR45333
9. [Me-Ze] P.A. Meyer, W.A. Zheng : Construction de processus de Nelson réversibles, Séminaire de Probabilités XVIII, L.N. in Math.Springer Verlag (1985) p.12-26 Zbl0564.60075MR889465
10. [Ne] E. Nelson : Critical diffusions, Séminaire de Probabilités XVIII, L.N. in Math.Springer Verlag (1985) p.1-11 Zbl0566.58037MR889464
11. [Va] S.R.S. Varadhan : Asymptotic probabilities and differential equations, Comm. Pure Appl. Math.19 (1966) p.261-286 Zbl0147.15503MR203230
12. [Ze] H. Zessin : Boltzmann's principle for Brownian motion on the torus, Prépublication (1990) 

1. Sylvie Roelly, Hans Zessin, Une caractérisation des mesures de Gibbs sur $C{(0,1)}^{{\mathbb{Z}}^d}$ par le calcul des variations stochastiques
2. Liming Wu, Quelques problèmes associés au processus de Donsker-Varadhan
3. Volker Betz, József Lőrinczi, Uniqueness of Gibbs measures relative to brownian motion