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Mathematics of Planet Earth 2013

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Second Simons Public Lecture

Dr. Emily Shuckburgh, British Antarctic Survey, visits the San Francisco Bay Area on March 4, 2013, for the second MPE2013 Simons Public Lecture "Climate disruption: what math and science have to say." Read more →

Recent Posts

Letter from Banff

February 24th, 2013

I was planning to send an update every day from the data assimilation workshop at the Banff Center, [...]

Some Mathematics Behind Biological Diversity

February 23rd, 2013

Picture a meadow in spring: grasses and flowers abound, different species competing for our attention and appreciation. But [...]

MPE2013 Newsletter

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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