Organisers
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Jacob Bedrossian, University of Maryland, College Park
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Jose A. Carrillo, University of Oxford
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Jingwei Hu, University of Washington
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Clément Mouhot, University of Cambridge
About:
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.
PROGRAMME
| MONDAY 04 APRIL 2022 | ||
| 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 | ||
| TUESDAY 05 APRIL 2022 | ||
| 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 | |
| Lunch | ||
| 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 | |
| WEDNESDAY 06 APRIL 2022 | ||
| 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 | |
| THURSDAY 07 APRIL 2022 | ||
| 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 | |
| Lunch | ||
| 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 | |
| FRIDAY 08 APRIL 2022 | ||
| 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. |
