Besançon Meeting on Probability, Ecology & Evolution 2026

Liste des Contributions

6. Heuristics of the speed of invasion in an advancing population

Several studies have investigated systems of reaction-diffusion partial differential equations (PDEs) in expanding domains with two distinct propagation speeds, one faster than the other. While the faster speed is straightforward to compute, determining the slower one remains challenging. Several PDEs works rigorously establish the so-called ”following travelling wave” speed. The objective...

7. Markov processes forced on a subspace by a large drift, with applications to population genetics

We consider a sequence of Markov processes $X^1,X^2,\ldots$ with state space $E$, where $X^N$ is subject to a strong drift towards a subset $D\subseteq E$, and where $\Phi(X^N)$ evolves on a slower timescale for a suitable map $\Phi:E\to D$. Using the method of martingale problems, we prove a limit theorem showing that, as $N\to\infty$, $\Phi(X^N)\Rightarrow Z$ in the space of càdlàg paths,...

4. On a Branching Annihilating Random Walk

We consider a discrete-time branching annihilating random walk (BARW). Within a
time step, each particle, before dying, produces a random number of offspring which are
then randomly and independently displaced in space. If, after the displacement, a site is
occupied by several particles, all particles at that site are annihilated. This can be thought
of as a very strong form of local...