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DTSTART:20151025T020000
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DTSTART:20160325T020000
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UID:calendar.49287.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200606T104357Z
CREATED:20171228T140750Z
DESCRIPTION:Date: \n\n12:00pm to 1:00pm\n\n\n\n\nSee also: Dynamical & Pr
obability\, Groups & Dynamics\, Events & Seminars\, SeminarsLocation: \n\n
Einstein 110\n\n\nConsider a sequence of random walks on $\mathbb{Z}/p\mat
hbb{Z}$ with symmetric generating sets $A= A(p)$. I will describe known an
d new results regarding the mixing time and cut-off. For instance\, if th
e sequence $|A(p)|$ is bounded then the cut-off phenomenon does not occur\
, and more precisely I give a lower bound on the size of the cut-off windo
w in terms of $|A(p)|$. A natural conjecture from random walk on a graph i
s that the total variation mixing time is bounded by maximum degree times
diameter squared. I prove this conjecture in the context of random walk o
n the Cayley graph $(\mathbb{Z}/p\mathbb{Z}\, A)$. I also study the typic
al and worst case behavior of random walk with random generating set chose
n uniformly from among all sets of a given size. Time permitting I will a
lso describe the mixing analysis of the walk generated by the powers of 2
less than p\, which has features similar to random walk on the hypercube.
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DTSTART;TZID=Asia/Jerusalem:20151217T120000
DTEND;TZID=Asia/Jerusalem:20151217T130000
LAST-MODIFIED:20180114T202901Z
SUMMARY:Groups & dynamics: Robert Hough (IAS) - Mixing and cut-off on cycli
c groups
URL;TYPE=URI:https://mathematics.huji.ac.il/event/groups-dynamics-robert-ho
ugh-ias-mixing-and-cut-cyclic-groups-0
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