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arXiv · 2610.04598

The constant speed random walk on dynamical conductances

Eszter Couillard·Carlo Scali
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Abstract

In this paper we study the constant speed, biased random walk in dynamical random conductances. In certain regimes of the parameters of the model, we prove that the random walk is ballistic. We show annealed and quenched CLT in the full parameter range. Furthermore, as a consequence of the non-reversible nature of this model, we show that the classical Einstein relation does not hold.

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Eszter Couillard, Carlo Scali. 2026-10-03. The constant speed random walk on dynamical conductances. https://arxiv.org/abs/2610.04598

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