Stochastic processes and statistical mechanics

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

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

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