Seminario di Probabilita'

Aula di Consiglio, Dipartimento di Matematica, La Sapienza

Lunedi' 22 Gennaio, ore 16.00

Speaker: A. Chiarini (ETH Zurigo)

Title: Invariance principle for the degenerate dynamic random conductance model.

Abstract: After the brilliant result of Papanicolau and Varadhan (1979) in the case of bounded stationary and ergodic environments, there has been a recent upsurge in the research of quenched homogenization in random media. In particular, to identify the optimal conditions that a general stationary and ergodic environment must satisfy in order to obtain the convergence to a non-degenerate Brownian motion, is still an open problem. In this talk, we study a continuous-time random walk on Z^d in an environment of dynamic random conductances. We assume that the law of the conductances is ergodic and stationary with respect to space-time shifts. We prove a quenched invariance principle for the random walk under some moment conditions on the environment. The key result on the sublinearity of the corrector is obtained by the celebrated Moser’s iteration scheme. This is joint work with S. Andres, J-D. Deuschel and M. Slowik.

************************************************* Prof. Alessandra Faggionato

http://www1.mat.uniroma1.it/~faggionato/

Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome

Office 5, Phone (0039) 06 49913252 *************************************************