31 citations · 87 across the 16 of their papers we have counts for
24 papers
High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures
Azmy S. Ackleh, Rainey Lyons, Nicolas Saintier
In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space…
Non-local equations and optimal Sobolev inequalities on compact manifolds
Carolina Rey, Nicolas Saintier
This paper deals with fractional Sobolev spaces on a compact Riemannian manifold. We prove a Sobolev inequality in the critical range with an optimal constant for these fractional…
Analytical formulation for multidimensional continuous opinion models
Lucia Pedraza, Juan Pablo Pinasco, Nicolas Saintier +1
Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have differ…
Interacting particles systems with delay and random delay differential equations
Juan Pablo Pinasco, Mauro Rodriguez Cartabia, Nicolas Saintier
In this work we study a kinetic model of active particles with delayed dynamics, and its limit when the number of particles goes to infinity. This limit turns out to be related to…
Evolutionary game theory in mixed strategies: from microscopic interactions to kinetic equations
Juan Pablo Pinasco, Mauro Rodriguez-Cartabia, Nicolas Saintier
In this work we propose a kinetic formulation for evolutionary game theory for zero sum games when the agents use mixed strategies. We start with a simple adaptive rule, where afte…
A model for the competition between political mono-polarization and bi-polarization
Nicolas Saintier, Juan Pablo Pinasco, Federico Vazquez
We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020…