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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > A proof of Harris-type theorems based on semigroup arguments

## A proof of Harris-type theorems based on semigroup argumentsAdd to your list(s) Download to your calendar using vCal - José Alfredo Cañizo Rincón (Universidad de Granada)
- Tuesday 14 June 2022, 13:30-14:15
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022 We will present a recent work in collaboration with Stéphane Mischler in which we prove several probabilistic theorems usually known as “Harris-type” results. These provide rates of convergence to equilibrium for Markov processes, and have been usually proved by coupling arguments in probability. We give simplified proofs using semigroup-type arguments, which include both cases with exponential convergence rates and cases with slower-than-exponential rates. The idea of the proof is a generalisation of arguments by Hairer & Mattingly, and the non-exponential case gives similar results to some obtained by Douc, Fort & Guillin. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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