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UID:7498@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170919T110000
DTEND;TZID=Europe/Paris:20170919T120000
DTSTAMP:20241120T204348Z
URL:https://www.i2m.univ-amu.fr/evenements/quenched-decay-of-correlations-
 for-slowly-mixing-systems/
SUMMARY:Wael Bahsoun (Loughborough University): Quenched decay of correlati
 ons for slowly mixing systems
DESCRIPTION:Wael Bahsoun: We study random towers that are suitable to analy
 se the statistics of slowly mixing random systems. We obtain upper bounds 
 on the rate of quenched correlation decay in a general setting. We apply o
 ur results to the random family of Liverani-Saussol-Vaienti maps with para
 meters in [α0\, α1] ⊂ (0\,1)\, with 0 &lt\; α0 &lt\; 1/2\, chosen ind
 ependently with respect to a distribution ν on [α0\, α1] and show that 
 the quenched decay of correlation is governed by the fastest mixing map in
  the family. In particular\, for three different distributions ν on [α0\
 , α1] (discrete\, uniform\, quadratic)\, we derive sharp asymptotics on t
 he measure of return-time intervals for the quenched dynamics\, ranging fr
 om {n}-1/α0 to (log {n}) · {n}-1/α0 and to (log {n})2 · {n}-1/α0 resp
 ectively.\n\nhttps://arxiv.org/abs/1706.04158\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Wael_Bahsoun.jpg
CATEGORIES:Séminaire,Ernest
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