%0 Journal Article
%T Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model
%+ Université de Constantine
%+ Research Institute for Mathematical Sciences (RIMS)
%+ Institut de Mathématiques de Marseille (I2M)
%A Boukhadra, Omar
%A Kumagai, Takashi
%A Mathieu, Pierre
%< avec comité de lecture
%@ 0025-5645
%J Journal of the Mathematical Society of Japan
%I Maruzen Company Ltd
%V 67
%N 4
%P 1413-1448
%8 2015-10
%D 2015
%Z 1308.1067
%R 10.2969/jmsj/06741413
%K Markov chains
%K random walk
%K random environments
%K random conductances
%K percolation
%Z Mathematics [math]/Probability [math.PR]Journal articles
%X We prove upper bounds on the transition probabilities of random walks with i.i.d. random conductances with a polynomial lower tail near 0. We consider both constant and variable speed models. Our estimates are sharp. As a consequence, we derive local central limit theorems, parabolic Harnack inequalities and Gaussian bounds for the heat kernel. Some of the arguments are robust and applicable for random walks on general graphs. Such results are stated under a general setting.
%G English
%L hal-01270942
%U https://hal.science/hal-01270942
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ ANR