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SUMMARY:Biased random walk on dynamical percolation (attention séance un 
 jeudi)
DTSTART:20260604T083000Z
DTEND:20260604T093000Z
DTSTAMP:20260615T180000Z
UID:indico-event-16548@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nina Gantert (TU Munich)\n\nAs an example for a rand
 om walk in random environment\, we study biased random walk for dynamical 
 percolation on the d-dimensional lattice. We establish a law of large numb
 ers and an invariance principle for this random walk using regeneration ti
 mes. Moreover\, we verify that the Einstein relation holds\, and we invest
 igate the speed of the walk as a function of the bias. While for d = 1 the
  speed is increasing\, we show that in general this fails in dimension d 
 ≥ 2. As our main result\, we establish two regimes of parameters\, separ
 ated by a critical curve\, such that the speed is either eventually strict
 ly increasing or eventually strictly decreasing. This is in sharp contrast
  to the biased random walk on a static supercritical percolation cluster\
 , where the speed is known to be eventually zero.\nBased on joint work wit
 h Sebastian Andres\, Dominik Schmid and Perla Sousi. \n\nhttps://indico.m
 ath.cnrs.fr/event/16548/
URL:https://indico.math.cnrs.fr/event/16548/
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