Frontiers in the Interplay Between Probability and Kinetic Theory

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Frontiers in the Interplay Between Probability and Kinetic Theory

 04 - 08 Apr 2022

ICMS, Bayes Centre, Edinburgh



  • Jacob Bedrossian, University of Maryland, College Park
  • Jose A. Carrillo, University of Oxford
  • Jingwei Hu, University of Washington
  • Clément Mouhot, University of Cambridge


Probability has always been inextricably linked to kinetic theory already from Boltzmann's and Maxwell's original foundations. A number of major open mathematical problems concerns giving rigorous validation of various kinetic theory models, either in a mean-field limit to derive models such as the Vlasov equations, or in collisional settings, such as the Boltzmann and Landau equations. Such validations require a significant amount of statistical and probabilistic reasoning. In fact, kinetic theory models arising also in wave turbulence, materials science, and the transport of radiation or neutrons are also all deeply tied to underlying probabilistic reasoning. This smaller event focused on the new progress on these classical problems as well as new connections between probability, stochastic processes and kinetic theory.

This was a satellite meeting of the Isaac Newton Institute programme Frontiers in kinetic theory. 


Registration All times are British Summertime.
Welcome Housekeeping by Jane Walker, Centre Manager, ICMS
Matias Delgadino, UT Austin (In-person) Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions
Morning Refreshment Break
Benjamin Fehrman, University of Oxford (In-person) Rare events in interacting particle systems and stochastic PDE
Lunch Break
Nathalie Ayi, Sorbonne Université (Online) Mean-field and Graph Limits for Collective Dynamics Models with Time-varying Weights
Pierre-Emmanuel Jabin, Pennsylvania State University (Online) The mean-field limit to the Vlasov-Poisson-Fokker-Planck system
Afternoon Refreshments
Jacob Bedrossian, University of Maryland (In-person) Chaos in stochastic fluid mechanics
Welcome Reception - ICMS
Mikaela Iacobell, ETH Zurich (In-person) Singular limits for Vlasov equations via kinetic-type Wasserstein distances.
Mario Pulvirenti, Roma La Sapienza (In-person) On the BGK model and particle approximation
Morning Refreshments and Group Photo
Arnaud Guillin, Université Clermont Auvergne (Online) Uniform propagation of chaos for particle system with non-convex and/or singular interactions
Mitia Duerinckx, Université Libre de Bruxelles (Online) Propagation of chaos and corrections to mean field for classical interacting particles
Zhenfu Wang, Peking University (Online) Mean-field limit and gaussian fluctuation for interacting particle systems with singular interactions
Afternoon Refreshments
Daniel Heydecker, Max Planck Institute for Mathematics in the Sciences (In-person) Large Deviations for Kac's Model
Jani Lukkarinen, University of Helsinki (In-person) Cumulant hierarchy and kinetic theory of the spatially homogeneous discrete non-linear Schrodinger equation
Diane Peurichard, Inria Paris (Online) Kinetic theory of particles interacting through a dynamical network
Morning Refreshments
Yu Deng, University of Southern California (Online) Mathematical wave turbulence and propagation of chaos
Lunch Break
Helge Dietert, Université de Paris (In-person) Quantitative Geometric Control in Kinetic Theory
Andrea Clini, University of Oxford (In-Person) Mean-field type neural models with reflecting boundary conditions
Pierre Gabriel, University of Versailles (In-person) Ergodicity of non-conservative semigroups
Megan Griffin-Pickering, Durham University (In-person) The Vlasov-Poisson system for ions: well-posedness and derivation
Morning Refreshments
Avi Mayorcas, University of Cambridge (In-person) Blow-up criteria for an SPDE model of chemotaxis
Jungel Ansgar, Technische Universität Wien (Online) Mean-field limits in stochastic interacting particle systems for multiple species
Peter Pickl, University of Tübingen (Online) Derivation of the Vlasov-Poisson equation
Afternoon Refreshments
Rishabh Gvalani, Max Planck Institute for Mathematics in the Sciences (Online) Exponential mixing for random flows
Thierry Bodineau, CNRS & École Polytechnique (Online Long time derivation of the fluctuating Boltzmann equation at equilibrium
Bernt Wennberg, University of Gothenburg (In-person) Point processes and the Lorntz gas
Morning Refreshments
End of Workshop. *Times and speakers are subject to change.

Sponsors and Funders:

  • INI