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math.PR2013
The Brownian Conga Line
Sayan Banerjee
We introduce a new model called the Brownian Conga Line. It is a random curve evolving in time, generated when a particle performing a two dimensional Gaussian random walk leads a…
math.PR2013
Random mass splitting and a quenched invariance principle
Sayan Banerjee, Christopher Hoffman
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 d…