A non-oriented first passage percolation model and statistical invariance by time reversal

Alejandro F. Ramírez; Santiago Saglietti; Lingyun Shao

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arXiv · 2310.17123

A non-oriented first passage percolation model and statistical invariance by time reversal

Alejandro F. Ramírez·Santiago Saglietti·Lingyun Shao

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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.

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Alejandro F. Ramírez, Santiago Saglietti, Lingyun Shao. 2023-10-26. A non-oriented first passage percolation model and statistical invariance by time reversal. https://arxiv.org/abs/2310.17123

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