1.3k citations
- Norwegian University of Science and TechnologyNO5 papers
- IIT@MITUS3 papers
- California Institute of TechnologyUS2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Kavli Institute for Particle Astrophysics and CosmologyUS2 papers
- Max Planck Institute for Dynamics and Self-OrganizationDE2 papers
- SKA ObservatoryGB2 papers
- Syracuse UniversityUS2 papers
- Argonne National LaboratoryUS1 paper
- BAE Systems (United States)US1 paper
- Berkeley CollegeUS1 paper
- Brookhaven National LaboratoryUS1 paper
5 papers · 1 filter
The stepping stone model. II: Genealogies and the infinite sites model
Iljana Zahle, J. Theodore Cox, Richard Durrett
This paper extends earlier work by Cox and Durrett, who studied the coalescence times for two lineages in the stepping stone model on the two-dimensional torus. We show that the ge…
Two Phase Transitions for the Contact Process on Small Worlds
Rick Durrett, Paul Jung
In our version of Watts and Strogatz's small world model, space is a d-dimensional torus in which each individual has in addition exactly one long-range neighbor chosen at random f…
A coalescent model for the effect of advantageous mutations on the genealogy of a population
Rick Durrett, Jason Schweinsberg
When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, wh…
Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes
Gennady Samorodnitsky
We study the partial maxima of stationary α-stable processes. We relate their asymptotic behavior to the ergodic theoretical properties of the flow. We observe a sharp change in th…
Random walk loop soup
Gregory F. Lawler, José A. Trujillo Ferreras
The Brownian loop soup introduced in Lawler and Werner (2004) is a Poissonian realization from a sigma-finite measure on unrooted loops. This measure satisfies both conformal invar…