3 papers
math.PR2024
Excursion theory for the Wright-Fisher diffusion
Paul A. Jenkins, Jere Koskela, Victor M. Rivero +3
In this work, we develop excursion theory for the Wright--Fisher diffusion with mutation. Our construction is intermediate between the classical excursion theory where all excursio…
math.PR2024
Lévy processes resurrected in the positive half-line
MarÃa Emilia Caballero, Loïc Chaumont, VÃctor Rivero
A Lévy processes resurrected in the positive half-line is a Markov process obtained by removing successively all jumps that make it negative. A natural question, given this constr…
math.PR2024
Conditioning the logistic continuous-state branching process on non-extinction via its total progeny
Clément Foucart, VÃctor Rivero, Anita Winter
The problem of conditioning a continuous-state branching process with quadratic competition (logistic CB process) on non-extinction is investigated. We first establish that non-ext…