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UID:7922@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160122T110000
DTEND;TZID=Europe/Paris:20160122T120000
DTSTAMP:20241120T205606Z
URL:https://www.i2m.univ-amu.fr/evenements/quenched-invariance-principle-f
 or-random-walks-with-time-dependent-ergodic-degenerate-weights-alberto-chi
 arini/
SUMMARY:Alberto Chiarini (I2M\, Aix-Marseille Université): Quenched invari
 ance principle for random walks with time-dependent ergodic degenerate wei
 ghts - Alberto Chiarini
DESCRIPTION:Alberto Chiarini: We study a symmetric diffusion in divergence 
 form in a stationary and ergodic environment\, with measurable unbounded a
 nd degenerate coefficients. We prove a quenched invariance principle and a
  quenched local central limit theorem for such a diffusion\, under some mo
 ment conditions on the environment\; the key tools are a local maximal ine
 quality and a local parabolic Harnack inequality obtained with Moser’s i
 teration technique. As a further application of Moser’s iteration scheme
 \, we study a continuous-time random walk on the lattice in an environment
  of time-dependent random conductances. We assume that the law of the cond
 uctances is ergodic with respect to space-time shifts. Also in this case\,
  we prove a quenched invariance principle under some moment conditions on 
 the environment.\nhttps://arxiv.org/abs/1602.01760\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Alberto_Chiarini.jpg
CATEGORIES:Séminaire,Probabilités
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