Contact process under renewals II

Autor: Maria Eulália Vares, Luiz Renato Fontes, Thomas Mountford

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We continue the study of renewal contact processes initiated in a companion paper, where we showed that if the tail of the interarrival distribution $\mu$ is heavier than $t^{-\alpha}$ for some $\alpha 1$, then the critical value is positive in the o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da9906f078bafa3e7c11024504a14bf2
https://doi.org/10.1016/j.spa.2019.04.008

Renewal Contact Processes: phase transition and survival

Autor: Luiz Renato Fontes, Thomas S. Mountford, Daniel Ungaretti, Maria Eulália Vares

We refine previous results concerning the Renewal Contact Processes. We significantly widen the family of distributions for the interarrival times for which the critical value can be shown to be strictly positive. The result now holds for any dimensi

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Central Limit Theorems for a Driven Particle in a Random Medium with Mass Aggregation

Autor: Pablo Almeida Gomes, Remy Sanchis, Luiz Renato Fontes

Publikováno v: Progress in Probability ISBN: 9783030607531

We establish central limit theorems for the position and velocity of the charged particle in the mechanical particle model introduced by Fontes, Jordao Neves and Sidoravicius (2000).

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https://doi.org/10.1007/978-3-030-60754-8_18

Convergence time to equilibrium of the metropolis dynamics for the GREM

Autor: A. M. B. Nascimento, Luiz Renato Fontes

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We study the convergence time to equilibrium of the Metropolis dynamics for the Generalized Random Energy Model with an arbitrary number of hierarchical levels, a finite and reversible continuous-time Markov process, in terms of the spectral gap of i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa5846c96d71e68ea52cc7960c17d79b

On an epidemic model on finite graphs

Autor: Itai Benjamini, Jonathan Hermon, Fábio Prates Machado, Luiz Renato Fontes

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Ann. Appl. Probab. 30, no. 1 (2020), 208-258

We study a system of random walks, known as the frog model, starting from a profile of independent Poisson($\lambda$) particles per site, with one additional active particle planted at some vertex $\mathbf{o}$ of a finite connected simple graph $G=(V

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64202459f7442a663e55f12df5ee82b4