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SUMMARY:Random walks on groups and the Kaimanovich-Vershik conjecture - Ru
 ssell Lyons (Indiana University)
DTSTART:20151020T153000Z
DTEND:20151020T163000Z
UID:TALK60696@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In the 1980s\, much progress was made in understanding random 
 walks on\ngroups. In particular\, characterizations of when there are non-
 constant\nbounded harmonic functions were given using asymptotic entropy. 
 Later\,\nKaimanovich gave criteria for identifying all bounded harmonic fu
 nctions.\nHowever\, a conjecture of Kaimanovich and Vershik from 1979 rema
 ined open\,\nwith the first breakthrough by Erschler in 2011. We present a
  simple proof\nof the full conjecture in joint work with Yuval Peres.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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