3 papers
math.PR2022
A measure-valued stochastic model for vector-borne viruses
Mario Ayala, Jerome Coville, Raphael Forien
In this work we propose a measure-valued stochastic process representing the dynamics of a virus population, structured by phenotypic traits and geographical space, and where virus…
math.PR2020
Higher order fluctuation fields and orthogonal duality polynomials
Mario Ayala, Gioia Carinci, Frank Redig
Inspired by the works in [1] and [8] we introduce what we call -th-order fluctuation fields and study their scaling limits. This construction is done in the context of particle…
math.PR2019
Condensation of SIP particles and sticky Brownian motion
Mario Ayala, Gioia Carinci, Frank Redig
We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in this regime, when initially starte…