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SUMMARY:Glauber dynamics of the FK percolation and new bound on the critic
 al point for q<1 [Oberseminar Stochastics]
DTSTART:20251120T153000Z
DTEND:20251120T163000Z
DTSTAMP:20260814T065100Z
UID:indico-event-938@math-events.uni-bonn.de
DESCRIPTION:Speakers: Corentin Faipeur (ENS Lyon)\n\nThe FK percolation mo
 del is a variant of classical percolation\, in which\, inaddition to the w
 eight p on the edges\, a weight q is added to the clusters.When q < 1\, th
 e invalidity of the FKG inequalities makes it difficult to studythe phase 
 diagram. For example\, in dimension 2 with q ≥ 1\, we know exactlyfor wh
 ich values of p and q the model admits a phase transition\, and the valueo
 f the critical point is known. For q < 1\, the best bounds on the critical
  pointare given by comparison inequalities\, which state a stochastic domi
 nation ofthe model by product measures.In a joint work with Vincent Beffar
 a and Tejas Oke\, we slightly improve thesecomparison inequalities to exte
 nd the known regime of uniqueness and im-prove the bounds on pc. To do thi
 s\, we introduce the Glauber dynamics of themodel and certain local approx
 imations\, which will give a stochastic domina-tion of the model by an inh
 omogeneous product measure.\n\nhttps://math-events.uni-bonn.de/event/938/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/938/
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