Scaling limit for the ant in a simple labyrinth

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.

94 pages, 8 figures. arXiv admin note: text overlap with arXiv:1609.03977; text overlap with arXiv:math/0605484 by other authors

References in corpus (1)

• Biased random walks on random graphs

Cited by in corpus (1)

• Scaling limits of stochastic processes associated with resistance forms