Stochastic processes and statistical mechanics

Gene genealogies in haploid populations evolving according to sweepstakes reproduction

This paper studies gene genealogies in haploid populations under sweepstakes reproduction, showing coalescent processes and their approximations in varying population sizes and environments.

A fast numerical integration scheme for clonal expansion processes on graphs

This paper introduces a numerical integration scheme to compute survival probabilities in clonal expansion processes on arbitrary graphs, demonstrating its application to parameter inference in a graphical model.

The TMRCA of general genealogies in populations with deterministically varying size

The paper derives matrix formulas for the density and moments of the TMRCA in time-dependent coalescent processes with varying population size.

Site Frequency Spectrum of the Bolthausen-Sznitman coalescent

The paper derives explicit formulas and approximations for the site frequency spectrum of the Bolthausen-Sznitman coalescent and studies internal branch lengths.

Lifetime of a structure evolving by cluster aggregation and particle loss, and application to postsynaptic scaffold domains

The paper estimates the lifetime of mesoscopic biological structures using a shot-noise process model, showing agreement with simulations and applying it to postsynaptic scaffold domains.

Cell volume distributions in exponentially growing populations

The paper models cell volume dynamics in growing populations and shows that single-cell and population-level analyses yield different volume distribution results.

The validity of the coalescent approximation for large samples

This paper investigates the validity of the Kingman coalescent approximation for large samples, showing when it holds and when triple collisions become significant.