Comparison of quenched and annealed invariance principles for random conductance model: Part II

Martin Barlow; Krzysztof Burdzy; Adám Timár

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arXiv · 1312.3965

Comparison of quenched and annealed invariance principles for random conductance model: Part II

Martin Barlow·Krzysztof Burdzy·Adám Timár

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Abstract

We show that there exists an ergodic conductance environment such that the weak (annealed) invariance principle holds for the corresponding continuous time random walk but the quenched invariance principle does not hold. In the present paper we give a proof of the full scaling limit for the weak invariance principle, improving the result in an earlier paper where we obtained a subsequential limit.

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Martin Barlow, Krzysztof Burdzy, Adám Timár. 2013-12-13. Comparison of quenched and annealed invariance principles for random conductance model: Part II. https://arxiv.org/abs/1312.3965

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