Oliver Tough

activity

20202024

collaborators

4 papers

math.PR2024

Selection principle for the $N$ -BBM

Julien Berestycki, Oliver Tough

The $N$ -branching Brownian motion with selection ( $N$ -BBM) is a particle system consisting of $N$ independent particles that diffuse as Brownian motions in $R$ , branch at…

math.PR2023

Selection principle for the Fleming-Viot process with drift $- 1$

Oliver Tough

We consider the Fleming-Viot particle system consisting of $N$ identical particles evolving in $R_{> 0}$ as Brownian motions with constant drift $- 1$ . Whenever a particle h…

math.PR2021

Scaling Limit of the Fleming-Viot Multi-Colour Process

Oliver Tough

We consider the $N$ -particle Fleming-Viot process associated to a normally reflected diffusion with soft catalyst killing. The Fleming-Viot multi-colour process is obtained by atta…

math.PR2020

The Fleming-Viot Process with McKean-Vlasov Dynamics

Oliver Tough, James Nolen

The Fleming-Viot particle system consists of $N$ identical particles diffusing in a domain $U \subset R^{d}$ . Whenever a particle hits the boundary $\partial U$ , that partic…

Selection principle for the N-BBM

Selection principle for the Fleming-Viot process with drift −1

Scaling Limit of the Fleming-Viot Multi-Colour Process

The Fleming-Viot Process with McKean-Vlasov Dynamics

Selection principle for the $N$ -BBM

Selection principle for the Fleming-Viot process with drift $- 1$