24 citations · 96 across the 23 of their papers we have counts for
20 papers · 1 filter
Quantitative QSD convergence in 1-Wasserstein distance via the Föllmer drift
Joaquín Fontbona, Pablo López-Rivera
We develop a novel pathwise approach to study the convergence of the law of killed diffusion processes conditioned on non-absorption, towards a quasi-stationary distribution (QSD)…
Quantitative mean-field limit for interacting branching diffusions
Joaquín Fontbona, Felipe Muñoz-Hernández
We establish an explicit rate of convergence for some systems of mean-field interacting diffusions with logistic binary branching towards the solutions of nonlinear evolution equat…
Skeletal stochastic differential equations for superprocesses
Dorottya Fekete, Joaquin Fontbona, Andreas E. Kyprianou
It is well understood that a supercritical superprocess is equal in law to a discrete Markov branching process whose genealogy is dressed in a Poissonian way with immigration which…
Synchronization of stochastic mean field networks of Hodgkin-Huxley neurons with noisy channels
Mireille Bossy, Joaquin Fontbona, Hector Olivero
In this work we are interested in a mathematical model of the collective behavior of a fully connected network of finitely many neurons, when their number and when time go to infin…
Skeletal stochastic differential equations for continuous-state branching process
Dorottya Fekete, Joaquin Fontbona, Andreas E. Kyprianou
It is well understood that a supercritical continuous-state branching process (CSBP) is equal in law to a discrete continuous-time Galton Watson process (the skeleton of prolific i…
A variational approach to some transport inequalities
Joaquin Fontbona, Nathael Gozlan, Jean-Francois Jabir
We relate transport-entropy inequalities to the study of critical points of functionals defined on the space of probability measures. This approach leads in particular to a new pro…