To learn about the past from a sample of genomic sequences, one needs to understand how
evolutionary processes shape genetic diversity. Most population genetics inferences are …

Population genetics theory has laid the foundations for genomic analyses including the
recent burst in genome scans for selection and statistical inference of past demographic …

The genetic diversity of a species is shaped by its recent evolutionary history and can be
used to infer demographic events or selective sweeps. Most inference methods are based …

This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour
summer school in probability. It provides a rapid introduction to a range of mathematical …

Epidemics, flame propagation, and cardiac rhythms are classic examples of reaction–
diffusion waves that describe a switch from one alternative state to another. Only two types of …

We develop an action formalism to calculate probabilities of rare events in cluster-cluster
aggregation for arbitrary collision kernels and establish a pathwise large deviation principle …

We consider a system of particles which perform branching Brownian motion with negative
drift and are killed upon reaching zero, in the near-critical regime where the total population …

We identify a new natural coalescent structure, which we call the seed-bank coalescent, that
describes the gene genealogy of populations under the influence of a strong seed-bank …

The ability of the site-frequency spectrum (SFS) to reflect the particularities of gene
genealogies exhibiting multiple mergers of ancestral lines as opposed to those obtained in …

Evolutionary dynamics are affected by population structure, mutation rates and update rules.
Spatial or network structure facilitates the clustering of strategies, which represents a …