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Universität Augsburg
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Universität Augsburg
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Professor Dr. Jani Lukkarinen
University of Helsinki
spricht am
Mittwoch, 14. Juni 2023
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Propagation and generation of "chaos" is an important ingredient for rigorous control of applicability of kinetic theory. Chaos can here be understood as sufficient statistical independence of random variables related to the "kinetic" observables of the system. In this talk based on a joint work with Aleksis Vuoksenmaa, we consider the stochastic Kac model with random velocity exchange. In earlier pioneering works by Janvresse, Carlen, Carvalho and Loss, Mischler and Mouhot, properties such as spectral gap and propagation of chaos starting from certain permutation invariant states have been determined. Here, we focus on generation of chaos, in the sense of approach to statistical independence and permutation invariance. We set up suitable random variables and propose methods to control the evolution of their cumulants. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Stefan Großkinsky |