24 citations · 96 across the 23 of their papers we have counts for
4 papers · 2 filters
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…
Long time behavior of telegraph processes under convex potentials
Joaquin Fontbona, Hélène Guérin, Florent Malrieu
We study the long-time behavior of variants of the telegraph process with position-dependent jump-rates, which result in a monotone gradient-like drift toward the origin. We comput…
Ray-Knight representation of flows of branching processes with competition by pruning of Lévy trees
Julien Berestycki, Maria Clara Fittipaldi, Joaquin Fontbona
We introduce flows of branching processes with competition, which describe the evolution of general continuous state branching populations in which interactions between individuals…
Quantitative exponential bounds for the renewal theorem with spread-out distributions
J. -B Bardet, A Christen, J Fontbona
We establish explicit exponential convergence estimates for the renewal theorem, in terms of a uniform component of the inter arrival distribution, of its Laplace transform which i…