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- Norwegian University of Science and TechnologyNO5 papers
- California Institute of TechnologyUS4 papers
- IIT@MITUS4 papers
- Leiden UniversityNL4 papers
- SKA ObservatoryGB4 papers
- Max Planck Institute for Dynamics and Self-OrganizationDE3 papers
- Max Planck SocietyDE3 papers
- University of California, BerkeleyUS3 papers
- University of California San DiegoUS3 papers
- University of ChicagoUS3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Harvard UniversityUS2 papers
8 papers · 2 filters
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…
Random Oxford Graphs
Jonah Blasiak, Rick Durrett
Inspired by a concept in comparative genomics, we investigate properties of randomly chosen members of G_1(m,n,t), the set of bipartite graphs with left vertices, n right verti…
Power laws for family sizes in a duplication model
Rick Durrett, Jason Schweinsberg
Qian, Luscombe and Gerstein [J. Molecular Biol. 313 (2001) 673--681] introduced a model of the diversification of protein folds in a genome that we may formulate as follows. Consid…
The Critical Value of the Contact Process with Added and Removed Edges
Paul Jung
We show that the critical value for the contact process on a vertex-transitive graph G with finitely many edges added and/or removed is the same as the critical value for the conta…