103 citations · 372 across the 37 of their papers we have counts for
4 papers · 1 filter
Extinction time of logistic branching processes in a Brownian environment
Hélène Leman, Juan Carlos Pardo
In this paper, we study the extinction time of logistic branching processes which are perturbed by an independent random environment driven by a Brownian motion. Our arguments use…
Double hypergeometric Lévy processes and self-similarity
Andreas E. Kyprianou, Juan Carlos Pardo, Matija Vidmar
Motivated by a recent paper of Budd, where a new family of positive self-similar Markov processes associated to stable processes appears, we introduce a new family of Lévy processe…
Extinction rate of continuous state branching processes in critical Lévy environments
Vincent Bansaye, Juan Carlos Pardo, Charline Smadi
We study the speed of extinction of continuous state branching processes in a Lévy environment, where the associated Lévy process oscillates. Assuming that the Lévy process satisfi…
The Wright-Fisher model with efficiency
Adrian Gonzalez Casanova, Veronica Miro Pina, Juan Carlos Pardo
In populations competing for resources, it is natural to ask whether consuming fewer resources provides any selective advantage. To answer this question, we propose a Wright- Fishe…