Stochastic processes and statistical mechanics

Gene genealogies in diploid populations evolving according to sweepstakes reproduction

This paper studies gene genealogies in diploid populations under sweepstakes reproduction, showing that heavy-tailed offspring distributions lead to specific coalescent processes.

Absorption and fixation times for evolutionary processes on graphs

The paper analyzes absorption and fixation times in evolutionary processes on graphs under different updating rules and identifies critical thresholds for fixation time behavior.

Beta-coalescents when sample size is large

The paper extends a sweepstakes reproduction model to analyze coalescent processes and evaluates the error of coalescent approximations under different population size scenarios.