A non-oriented first passage percolation model and statistical invariance by time reversal
Probability
2023-10-27 v1
Abstract
We introduce and study a non-oriented first passage percolation model having a property of statistical invariance by time reversal. This model is defined in a graph having directed edges and the passage times associated with each set of outgoing edges from a given vertex are distributed according to a generalized Bernoulli-Exponential law and i.i.d. among vertices. We derive the statistical invariance property by time reversal through a zero-temperature limit of the random walk in Dirichlet environment model.
Cite
@article{arxiv.2310.17123,
title = {A non-oriented first passage percolation model and statistical invariance by time reversal},
author = {Alejandro F. Ramírez and Santiago Saglietti and Lingyun Shao},
journal= {arXiv preprint arXiv:2310.17123},
year = {2023}
}
Comments
In honor of Francis Comets