Scaling limit for the ant in a simple labyrinth
Probability
2016-09-16 v1
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.
Cite
@article{arxiv.1609.03980,
title = {Scaling limit for the ant in a simple labyrinth},
author = {Gérard Ben Arous and Manuel Cabezas and Alexander Fribergh},
journal= {arXiv preprint arXiv:1609.03980},
year = {2016}
}
Comments
94 pages, 8 figures. arXiv admin note: text overlap with arXiv:1609.03977; text overlap with arXiv:math/0605484 by other authors