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How to obtain quantitative hypocoercivity estimates by using Harris-type theorems

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FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

I am going to talk about Harris-type theorems and how to use them for studying the long-time behaviour of kinetic equations. These are certain probabilistic methods in the ergodic theory of Markov processes and they provide efficient and quantitative results once their hypotheses are verified quantitatively. These methods do not require any prior information about the equilibrium states, thus they are very convenient for kinetic equations arising in applied sciences. Moreover, it is possible to obtain existence results on systems which exhibit nonequilibrium steady states. I will discuss some examples and provide an overview.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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