Workshop on Random Trees. August 12-16, Montreal.

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Odalric-Ambrym Maillard

Aug 7, 2013, 10:15:24 AM8/7/13
Workshop on Random Trees

August 12-16,

at Centre de recherches mathématiques, Université de Montréal.

Random trees will play an important role in several of the workshops. Trees represent the evolutionary relationships between species, and are reconstructed by phylogenetic algorithms. Trees appear in population genetics giving the relationships between a sample of individuals from a population. The simple coalescent of Kingman and more complex processes are used to describe the evolution in populations of constant or changing size, or when subject to natural selection. In models for ecology and epidemiology they are used to describe the phylodynamic evolution of populations with spatial or interaction dynamics. Spatial trees and branching particle models are also used to analyse fluctuations at the front of the propagation of traveling waves in evolutionary dynamics. In addition there are trees which arise as limits of critical branching processes, or from the use of randomized algorithms. This workshop will concentrate on the mathematical techniques that underlie these results and will thus serve as an introduction to the overall program, and a useful tutorial for individuals without much experience in applying mathematical ideas to biology. By featuring several different applications in the same workshop we hope to bring out parallel themes in the different subjects, and catalyze new mathematical developments.

Louigi Addario-Berry (McGill University)
Louis-Pierre Arguin (Université de Montréal)
Rick Durrett (Duke University)
Lea Popovic (Concordia University)

Invited speakers:
David Aldous (UC Berkeley)
Ellen Baake (Universität Bielefeld)
Shankar Bhamidi (University of North Carolina at Chapel Hill)
Yu-ting Chen (UBC)
Ted Cox (Syracuse University)
Don Dawson (Carleton University)
Thomas Duquesne (Université Pierre et Marie Curie - Paris VI)
Steve Evans (University of California, Berkeley)
Shui Feng (McMaster University)
Nicolas Fraiman (McGill University) (*)
Christina Goldschmidt (University of Oxford)
Robert C. Griffiths (University of Oxford & Clay Senior Scholar)
Cyril Labbé (Université Pierre et Marie Curie - Paris VI)
Amaury Lambert (Université Pierre et Marie Curie - Paris 6)
Shishi Luo (Duke University)
Mariolys Rivas (Concordia University)
Sebastien Roch (University of Wisconsin-Madison)
Jason Schweinsberg (University of California, San Diego)
Arnab Sen (University of Minnesota)
Tanja Stadler (ETH Zürich)
Anton Wakolbinger (Goethe-Universität Frankfurt)
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