3 papers
math.PR2026
The leftmost particle of branching subordinators
Alexis Kagan, Grégoire Véchambre
We define a family of continuous-time branching particle systems on the non-negative real line, called branching subordinators, where particles move as independent subordinators. E…
math.PR2025
Distance to stationarity and open set recurrence for ergodic processes on the unit interval with a Bernstein or a Siegmund dual
Fernando Cordero, Grégoire Véchambre
We use duality techniques - specifically Siegmund and Bernstein duality - as tools to analyse ergodic and recurrence properties of -valued Markov processes. These dualities…
math.PR2024
Bernstein duality revisited: frequency-dependent selection, coordinated mutation and opposing environments
Fernando Cordero, Sebastian Hummel, Grégoire Véchambre
This paper investigates the long-term behavior of a class of -Wright--Fisher processes incorporating frequency-dependent selection, coordinated (bidirectional) selection, as we…