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arXiv · 1604.03826

Invariance Principle for the one-dimensional dynamic Random Conductance Model under Moment Conditions

Jean-Dominique Deuschel·Martin Slowik
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Abstract

Recent progress in the understanding of quenched invariance principles (QIP) for a continuous-time random walk on $\mathbb{Z}^d$ in an environment of dynamical random conductances is reviewed and extended to the $1$-dimensional case. The law of the conductances is assumed to be ergodic with respect to time-space shifts and satisfies certain integrability conditions.

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Jean-Dominique Deuschel, Martin Slowik. 2016-05-30. Invariance Principle for the one-dimensional dynamic Random Conductance Model under Moment Conditions. https://arxiv.org/abs/1604.03826

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