Random mass splitting and a quenched invariance principle

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, pp. 608-627, 2016.

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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 (QIP) for the RWRE which gives us a quenched central limit theorem for the mass splitting model. Our ...More

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