3 papers
math.PR2022
Chaos for rescaled measures on Kac's sphere
Roberto Cortez, Hagop Tossounian
In this article we study a relatively novel way of constructing chaotic sequences of probability measures supported on Kac's sphere, which are obtained as the law of a vector of $N…
math.PR2021
Persistence in a large network of locally interacting neurons
Maximiliano Altamirano, Roberto Cortez, Matthieu Jonckheere +1
This article presents a biological neural network model driven by inhomogeneous Poisson processes accounting for the intrinsic randomness of synapses. The main novelty is the intro…
math.PR2018
Particle system approach to wealth redistribution
Roberto Cortez
We study a stochastic -particle system representing economic agents in a population randomly exchanging their money, which is associated to a class of one-dimensional kinetic eq…