University of Birmingham > Talks@bham > Analysis seminar > Propagation of chaos and return to equilibrium for Kac's random walks

## Propagation of chaos and return to equilibrium for Kac's random walksAdd to your list(s) Download to your calendar using vCal - Clement Mouhot (University of Cambridge)
- Thursday 15 November 2012, 16:00-17:00
- Physics West 103.
If you have a question about this talk, please contact Neal Bez. Kac proposed in 1956 to study the derivation of the (spatially homogeneous) Boltzmann equation from a many-particle jump processes with random binary collisions (“Kac’s walk”). This limit is closely connected to the notion of propagation of chaos, i.e. product-like structure of the many-particle distribution in the many-particle limit. Several questions were raised: propagation of chaos for the unbounded collision rates encountered in physics, estimations of rates of relaxation uniform in the many-particle limit, propagation of entropic chaos and derivation of the H-theorem. We shall present answers to these questions, obtained in a joint work with Stephane Mischler. They are based on a new quantitative stability approach for many-particle limits, that allows to take advantage of dissipativity of the level of the limit PDE . If time allows we shall discuss connexions with the BBGKY hierarchy, and how this method applies to other many-particle limits. This talk is part of the Analysis seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsType the title of a new list here Human Computer Interaction seminars Analysis Reading Seminar 2019/2020## Other talksTBA Gaussian processes techniques for non-linear multidimensional dynamical systems Best Response Dynamics on Random Graphs TBA TBA Generalised hydrodynamics and universalities of transport in integrable (and non-integrable) spin chains |