Workshop: Population Genetics, Interacting Particle Systems and Stochastic Flows: a duality perspective
Dates: June 20-24, 2022
Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Organizers: Simone Floreani (Delft), Adrian Gonzalez Casanova (Mexico City), Shubhamoy Nandan (Leiden)
Description:
This workshop brings together experts in population genetics and interacting particle systems (with an emphasis on models with seed banks and coordination) and stochastic flows.
A powerful tool that plays a central role in the study of these models is stochastic duality. We will explore recent developments in the theory and the application of this technique.
One of the aims of the event is to stimulate discussion and future research in the connection between duality theory, stochastic models in the life science and statistical physics.
You can find the schedule here.
You can find the abstracts here.
Video Recordings
Day 1
Noemi Kurt: Duality in coordinated particle systems
András Tóbiás: The wave speed of an FKPP equation with jumps via coordinated branchening
Félix Foutel-Rodier & Emmanuel Schertzer: Convergence of genealogies through spinal decomposition 1/2
Félix Foutel-Rodier & Emmanuel Schertzer: Convergence of genealogies through spinal decomposition 2/2
Day 2
Jason Schweinsberg: Lamda-coalescents arising in a population with dormancy
Florin Boenkost: Haldane's asymptotics for Supercritical Branching Processes in an iid Random Environment
José Luis Pérez Garmendia: Seed Balancing Selection: Coexistence in Seedebank models
Day 3
Jan Swart : Weaves, webs and flows 1/2
Nic Freeman: Weaves, webs and flows 2/2
Giuseppe Cannizzaro: The Brownian Castle Universality Class and beyond
Day 4
Chiara Franceschini: Two duality relations between particle systems and open boundary diffusions
Stefan Wagner: Intertwining for continuum interacting particle systems
Jan Niklas Latz: Applying monoid duality to interacting particle systems
Hidde van Wiechen: On ergodic measures and scaling limits of run-and-tumble particles
Veronica Miro Pina: Xi-coalescents arising from populations undergoing demographic bottlenecks
Day 5
Jan Lukas Igelbrink and Anton Wakolbinger: Hammond and Sheffields power law Pólya's urn from a genealogical point of view 1/2
Jan Lukas Igelbrink and Anton Wakolbinger: Hammond and Sheffields power law Pólya's urn from a genealogical point of view 2/2