Scaling limit for the ant in a simple labyrinth

2016/09/13 by Arous, Gérard Ben, Cabezas, Manuel, Fribergh, Alexander
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1609.03980

Abstract

We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk converges to the Brownian motion on the integrated super-Brownian excursion.

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