Nicolas Saintier

  • Assistant-professor in the Mathematics Departement of the University of Buenos-Aires (UBA-Argentina),
  • Under contract with the CONICET as assistant researcher.
  • To contact me
    • nsaintie-at-dm.uba.ar
    • Departamento de Matemática, Facultad de Ciencias Exactas y Naturales (1428) Pabellón I - Ciudad Universitaria, Buenos Aires - ARGENTINA
  • Curriculum espanol, francais english
  • NEWS

    • 15/06/20: We finally submitted the last paper from Mauro Rodriguez Cartabia PhD thesis. It deals with with a population of interacting agents in the mean-field case with a general delay. We study the limit of this system as the number of agents goes to infinity and obtain a delay differential equation with random initial condition. We prove its well-posedness. Here is the preprint.
    • 05/06/20: Our paper with J.P. Pinasco and F. Vazquez ""A model for the competition between political mono-polarization and bi-polarization"" has been accepted in Chaos: An Interdisciplinary Journal of Nonlinear Science. Here is the preprint.
    • 07/05/20: The country-wide distrbuted paper "La Nacion" published a note about our Physical Review E paper "The role of voting intention in public opinion polarization" written with J.P. Pinasco and F. Vazquez.
    • 17/02/20: With Juan Pablo Pinasco and Mauro Rodriguez-Cartabia, we studied a large population of agents interacting by playing a game (a 2-players symmetric zero-sum game). After each game, the two participants myopically update their mixed strategy profile slightly raising the probability of playing the winning strategy and decreasing the loosing one. In the mean-field limit the distribution of mixed strategies in the population evolves according to a first order equation. Interestingly, the vector field driving this equation is very much related to the vector field of the replicator equation, central in evolutionnary game theory. We explore further this connection. For instance in the case of a two strategies game here is the evolution of the probability of playing the dominant strategy: Here is the preprint.
    • 17/02/20: With Federico Vazquez and Juan Pablo Pinasco we keep on studying models of opinion formation. We introduced a non-linear version of our recent PRE paper and show that a stable bi-polarization state is possible without any hard-wired homophily nor explicit self-reinforcement. Here is the preprint.
    • 18/12/19: Physical Review E accepted our paper "The role of voting intention in public opinion polarization" where we consider a simple stochastic mechanism yielding polarization without assuming negative influence or homophily. It is a team work with Federico Vazquez and Juan Pablo Pinasco. Here is the preprint.
    • 8/11/19: my paper with Laurent Veron "Nonlinear elliptic equations with measure valued absorption potentials" is accepted in "Annali della Scuola Normale Superiore di Pisa, Classe di Scienze". Here is the preprint.
    • 4/11/19: my paper "Finite difference schemes for a structured population model in the space of measures" with Azmy Ackleh and Rainey Lyons is published in Mathematical Biosciences and Engineering. We propose a fast scheme to solve numerically transport equations modelling structured population in the framework of measure-valued functions. Here is an illustration of our algorithm:
    • 21/10/19: my paper "Sensitivity equations for measure-valued solutions to transport equations" with Azmy Ackleh and Jakub Skrzeczkowski is published in Mathematical Biosciences and Engineering.

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