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SUMMARY:Long time behaviour of kinetic Fokker-Planck models for Elo Chess 
 ranking and when applying hypocoercivity methods can be really hard. - Jos
 ephine Evans (Warwick)
DTSTART:20220221T140000Z
DTEND:20220221T150000Z
UID:TALK170507@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:This is based on a joint work with Bertram During and Marie-Th
 erese Wolfram about the existence of steady states for a non-linear kineti
 c Fokker-Planck type equation modelling the evolution of Elo chess ranks. 
 We imagine players with and intrinsic strength\, rho\, which changes accor
 ding to random fluctuations and a learning process through playing in matc
 hes and a ranking\, R\, which is updated as the players play matches. This
  equation has a similar structure to kinetic McKean-Vlasov processes. In t
 his talk I will focus on the analysis of related linear kinetic Fokker-Pla
 nck equations and contrast it to the original kinetic Fokker-Planck equati
 on in gas dynamics. We look at applying the techniques of hypocoercivity\,
  where there are several difficulties related to the weak confinement\, we
 ak mixing\, and open system nature of the equation. 
LOCATION:CMS\, MR13
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