Leon A. Valencia

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math.PR2024

Fluctuations of the occupation density for a parking process

Cristian F. Coletti, Sandro Gallo, Alejandro RoldÃ¡n-Correa +1

Consider the following simple parking process on $I^_{n} := {- n, \dots, n}^{d}, d \geq 1$ : at each step, a site $i$ is chosen at random in $I^_{n}$ and if $i$ and all its nearest neighbor…

math.PR2024

A stochastic differential equation approach for an SIS model with non-linear incidence rate

J. S. Builes, Cristian F. Coletti, Leon A. Valencia

In this paper, we study an analytically tractable SIS model with a non-linear incidence rate for the number of infectious individuals described through a stochastic differential eq…