Alejandro Rold'an-Correa

activity

20242026

collaborators

4 papers

math.PR2026

Immigration Processes with Binomial Catastrophes and Random Survival Parameters

Sandro Gallo, Alejandro RoldÃ¡n-Correa

We consider immigration processes with binomial catastrophes and random survival parameters. Two sources of randomness are analyzed. In the first model, the survival parameter is i…

math.PR2025

A contact process with stronger mutations on trees

FÃ¡bio Lopes, Alejandro RoldÃ¡n-Correa

We consider a spatial stochastic model for a pathogen population growing inside a host that attempts to eliminate the pathogens through its immune system. The pathogen population i…

math.PR2024

Uniform dispersion in growth models on homogeneous trees

Valdivino V. Junior, FÃ¡bio P. Machado, Alejandro RoldÃ¡n-Correa

We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their populati…

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…