Rare events are by definition difficult to observe, and their numerical study is all the more complex. A class of methods, "population dynamics algorithms" allowed progress in this area. The idea is to simulate not one, but a large number of copies of the system, each playing the role of an 'individual' possessing a certain 'genome' (the configuration); these individuals are subject to 'mutation' (noise) and 'selection' (birth/death). This selection makes it possible to make typical, in the population dynamics, the rare event in which we are interested in the dynamics of the original system. Population dynamics are in exact correspondence with models of biological phenomena in genetics and ecology – studied in mathematics.
The aim of the workshop is to exploit this correspondence to put in contact researchers of different communities (mathematics, physics, ecology, evolution), in order to (i) export modern tools and concepts from the theory of large deviations and algorithms to biological models, so as to understand its hidden characteristics; (ii) conversely to import mathematical tools from probability theory to improve the existing algorithms of the theory of large deviations.
This is the second edition of the workshop, following the 2022 one.
Topics
Dynamical phase transitions
Effective dynamics in biology
Branching structures of genealogies
Role of noise in genetic and population dynamics
Population dynamics algorithm for large deviations
Eco-evolutionary processes
FORMAT
Invited talks: 45' presentation + 15' discussion.
Poster session & 1h discussion session. .
Invited Speakers
Vincent Bansaye, Ecole Polytechnique, France
Matthieu Barbier, CIRAD & Institut Natura e Teoria en Pirenèus, France
Sylvain Billiard, Université de Lille, France
Anne-Florence Bitbol, EPFL, Switzerland
Suman Das, University of Bern, Switzerland
Isabel Gordo, Instituto Gulbenkian de Ciência, Portugal
Aline Marguet, INRIA Grenoble, France
Hélène Morlon, ENS Paris, France
Emmanuel Schertzer, University of Vienna, Austria
Mikhail Tikhonov, Washington University, USA
Martin Weigt, Université Pierre et Marie Curie, France
A discussion session will be animated by Muhittin Mungan (Universität zu Köln) and Matthieu Barbier (CIRAD & Institut Natura e Teoria en Pirenèus). .
Organizers
Sara Dal Cengio (LIPhy, Université Grenoble Alpes)
Vivien Lecomte (LIPhy, CNRS, Université Grenoble Alpes)
Charline Smadi (Institut Fourier and INRAE, Université Grenoble Alpes)