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SUMMARY:Non-reversible lifts of reversible diffusion processes and relaxat
 ion times - Andreas Eberle (University of Bonn)
DTSTART:20240715T130000Z
DTEND:20240715T140000Z
UID:TALK219064@talks.cam.ac.uk
DESCRIPTION:We propose a new concept of lifts of reversible diffusion proc
 esses and show that various well-known non-reversible Markov processes ari
 sing in applications are lifts in this sense of simple reversible diffusio
 ns. Furthermore\, we introduce a concept of non-asymptotic relaxation time
 s and show that these can at most be reduced by a square root through lift
 ing\, generalising a related result in discrete time. Finally\, we demonst
 rate how the recently developed approach to quantitative hypocoercivity ba
 sed on space-time Poincar&eacute\; inequalities can be rephrased and simpl
 ified in the language of lifts and how it can be applied to find optimal l
 ifts.
LOCATION:External
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