24 citations · 50 across the 10 of their papers we have counts for
11 papers
Relocation without preference: A destination-agnostic Schelling-type metapopulation model
Fei Cao, Roberto Cortez
In this work, we propose and analyze a novel Schelling-type metapopulation model that examines how random relocations of families between neighborhoods can lead to segregation. The…
Uniform propagation of chaos for a dollar exchange econophysics model
Roberto Cortez, Fei Cao
We study the poor-biased model for money exchange introduced in [2]: agents are being randomly picked at a rate proportional to their current wealth, and then the selected agent gi…
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…
SIR model with social gatherings
Roberto Cortez
We introduce an extension to Kermack and McKendrick's classic susceptible-infected-recovered (SIR) model in epidemiology, whose underlying mechanism of infection consists of indivi…
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…
On a thermostated Kac model with rescaling
Roberto Cortez, Hagop Tossounian
We introduce a global thermostat on Kac's 1D model for the velocities of particles in a space-homogeneous gas subjected to binary collisions, also interacting with a (local) Maxwel…
Uniform propagation of chaos for the thermostated Kac model
Roberto Cortez, Hagop Tossounian
We consider Kac's 1D N-particle system coupled to an ideal thermostat at temperature T, introduced by Bonetto, Loss, and Vaidyanathan in 2014. We obtain a propagation of chaos resu…
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…
Uniform propagation of chaos for Kac's 1D particle system
Roberto Cortez
In this paper we study Kac's 1D particle system, consisting of the velocities of particles colliding at constant rate and randomly exchanging energies. We prove uniform (in tim…
Quantitative uniform propagation of chaos for Maxwell molecules
Roberto Cortez, Joaquin Fontbona
We prove propagation of chaos at explicit polynomial rates in Wasserstein distance W_2 for Kac's N-particle system associated with the spatially homogeneous Boltzmann equation for…
Quantitative propagation of chaos for generalized Kac particle systems
Roberto Cortez, Joaquin Fontbona
We study a class of one-dimensional particle systems with true (Bird type) binary interactions, which includes Kac's model of the Boltzmann equation and nonlinear equations for the…