Density-dependent stochastic resetting: a large deviations framework for achieving target distributions over networks

Fuente: arXiv
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Hauptverfasser: Coghi, Francesco, Olsen, Kristian Stølevik
Format: Preprint
Veröffentlicht: 2024
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author Coghi, Francesco
Olsen, Kristian Stølevik
author_facet Coghi, Francesco
Olsen, Kristian Stølevik
contents We develop a framework for designing density-dependent stochastic resetting protocols to regulate distributions of random walkers on networks. Resetting mechanisms that depend on local densities induce correlations in otherwise non-interacting walkers. Our framework allows for the study of both transient trajectories and stationary properties and identifies resetting protocols that maximise the likelihood of homogeneous and, more generally, rare configurations of random walkers.
format Preprint
id arxiv_https___arxiv_org_abs_2412_10016
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Density-dependent stochastic resetting: a large deviations framework for achieving target distributions over networks
Coghi, Francesco
Olsen, Kristian Stølevik
Statistical Mechanics
Disordered Systems and Neural Networks
We develop a framework for designing density-dependent stochastic resetting protocols to regulate distributions of random walkers on networks. Resetting mechanisms that depend on local densities induce correlations in otherwise non-interacting walkers. Our framework allows for the study of both transient trajectories and stationary properties and identifies resetting protocols that maximise the likelihood of homogeneous and, more generally, rare configurations of random walkers.
title Density-dependent stochastic resetting: a large deviations framework for achieving target distributions over networks
topic Statistical Mechanics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2412.10016