Xinxin Chen, Loïc de Raphélis
Published 2020-09-29Version 1
We consider a recurrent random walk on a rooted tree in random environment given by a branching random walk. Up to the first return to the root, its edge local times form a Multi-type Galton-Watson tree with countably infinitely many types. When the walk is the diffusive or sub-diffusive, by studying the maximal type of this Galton-Watson tree, we establish the asymptotic behaviour of the largest local times of this walk during n excursions, under the annealed law.
A subdiffusive behaviour of recurrent random walk in random environment on a regular tree
Potential function, ladder variables and absorption probabilities of a recurrent random walk on $\mathbb{Z}$ with infinite variance
Exponentials and $R$-recurrent random walks on groups
![QR code for arXiv:2009.13816 [math.PR]](http://oss.arxitics.com/images/favicon.svg)