Th\'eor\`eme ergodique pour cocycle harmonique, applications au milieu al\'eatoire. Ergodic theorem for harmonic cocycle, applications in random environment

Autor: Depauw, Jérôme

In this work we prove the pointwise ergodic theorem for harmonic degree 1 cocycle of a measurable stationary action of Z^d on a probability space. In a precedent paper Boivin and Derriennic (1991) studied this theorem for not necessarily harmonic coc

Externí odkaz: http://arxiv.org/abs/1309.1566

Einstein relation for reversible random walks in random environment on [formula omitted]

Autor: Lam, Hoang-Chuong ^{a, b, ⁎}, Depauw, Jerome ^c

Publikováno v: In Stochastic Processes and their Applications April 2016 126(4):983-996

Le cocycle brownien de degré deux comme bruit blanc sur les droites affines de l'espace

Autor: Depauw, Jérôme

Publikováno v: In Comptes rendus - Mathématique 2006 342(5):337-340

Degree two Brownian Sheet in Dimension three.

Autor: Depauw, Jérôme¹ jerome.depauw@univ-tours.fr

Publikováno v: Probability Theory & Related Fields. Jul2006, Vol. 135 Issue 3, p457-469. 13p. 2 Diagrams.

Génération des cocycles de degré 2 d'une action mesurable stationnaire de Z^d

Autor: Depauw, Jérôme

Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2002, 22, pp.153-169. ⟨10.1017/S0143385702000068⟩

International audience; Let (\Omega,{\cal B},m) be a probability space. To any stationary action T of \mathbb{Z}^d is associated a notion of algebraic cocycle of degree \geq 1, the degree 1 corresponding to the usual sense. This notion was studied by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1707f4804b236bfec77907212dd554b5
https://hal.archives-ouvertes.fr/hal-00336593