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arXiv · 1309.0768

Random mass splitting and a quenched invariance principle

Sayan Banerjee·Christopher Hoffman
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Abstract

We will investigate a random mass splitting model and the closely related random walk in a random environment (RWRE). The heat kernel for the RWRE at time t is the mass splitting distribution at t. We prove a quenched invariance principle for the RWRE which gives us a quenched central limit theorem for the mass splitting model. Our RWRE has an environment which is changing with time. We follow the outline for proving a quenched invariant process for a random walk in a space-time random environment laid out by Rassoul-Agha and Seppäläinen which in turn was based on the work of Kipnis and Varadhan and others.

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Sayan Banerjee, Christopher Hoffman. 2015-08-31. Random mass splitting and a quenched invariance principle. https://arxiv.org/abs/1309.0768

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