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 third edition of the workshop, following the 2022 one and the 2023 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
Moran processes and eco-evolutionary models
FORMAT
Invited talks: 45' presentation + 15' discussion.
Poster session & 1h discussion session.
Talks are only upon invitations. Registration (to present a poster or simply to attend) is free, but mandatory for organizational purposes.
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Invited Speakers
Thibaut Arnoulx de Pirey, Institut de Physique Théorique (IPhT), CEA — Saclay/Gif-sur-Yvette, France
François Bienvenu, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, France
Sylvain Billiard, Unité Evo-Eco-Paléo (UMR 8198), Université de Lille / CNRS, Lille, France
Camille Coron, Laboratoire de Mathématiques d’Orsay & MIA Paris-Saclay, INRAE / Université Paris-Saclay, Orsay, France
Silvia De Monte, Dynamics of Microbial Collectives Group, Max Planck Institute for Evolutionary Biology, Plön, Germany & Institut de Biologie de l’École Normale Supérieure (IBENS), ENS-PSL, Paris, France
Jean-Jil Duchamps, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, France
Stefan Grosskinsky, Institute of Mathematics, University of Augsburg, Augsburg, Germany
Bahram Houchmandzadeh, Laboratoire Interdisciplinaire de Physique, Université Grenoble Alpes, France
Joachim Krug, Institute for Biological Physics, University of Cologne, Cologne, Germany
Giulia Lorenzana, NSF–Simons National Institute for Theory and Mathematics in Biology (NITMB), Northwestern University & University of Chicago, Chicago, USA
Ophélie Ronce, Institut des Sciences de l’Évolution de Montpellier (ISEM), CNRS / Université de Montpellier / IRD / EPHE, Montpellier, France
Denis Villemonais, Institut de Recherche Mathématique Avancée (IRMA), Université de Strasbourg, Strasbourg, France
Organizers
Vivien Lecomte (LIPhy, CNRS, Université Grenoble Alpes)
Charline Smadi (Institut Fourier and INRAE, Université Grenoble Alpes)