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Latest Posts

AIM/MCRN Summer School: Week 6

August 2, 2020

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AIM/MCRN Summer School: Week 5

July 26, 2020

 [...]

Professor Christopher K.R.T. Jones — Recipient of the 2020 MPE Prize


Professor Chris Jones is the Bill Guthridge Distinguished Professor in Mathematics at the University of North Carolina at Chapel Hill and Director of the Mathematics and Climate Research Network (MCRN). The 2020 MPE Prize recognizes Professor Jones for his many significant contributions to climate science and the mathematics of planet Earth.

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Workshops

Branching Diffusions and Random Trees

Evolution

Organized by Louigi Addario-Berry (McGill), Louis-Pierre Arguin (Montréal), Rick Durret (Duke), Lea Popovic (Concordia)

http://www.crm.umontreal.ca/act/theme/theme_2013_2_en/branching_diffusions13_e.php

08/12/2013 - 08/16/2013

Centre de recherches mathématiques, Montréal

One of the most compelling images to result from Darwin’s theory of evolution is that of the tree of life. Inherent in this picture is the idea that when members of a species are geographically separated, over time they may evolve to a point where it makes sense to view them as different species – these are the branch points in the tree of life. Probability theory has developed powerful stochastic spatial models that can be used to understand and model the behavior of such migrating and evolving populations. In particular, the theories of branching random walk and branching diffusions are fundamental in population biology and genetics. Furthermore, there has been substantial recent progress on understanding the typical genealogy of spatially extreme species in these models. For example, at the moment when our first ancestors left Africa, it is likely that a majority of the human population stayed close to home and only a relatively small group left the continent. Understanding how these exceptional, frontier individuals likely split up as they made their way around the globe would yield deeper understanding of the genetic diversity between extant human populations. The mathematical tools for such a study are actively being developed on several fronts, and these will be presented in the workshop.

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