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SUMMARY:Self-interacting random walks and their asymptotic behavior - Wend
 elin Werner (Universite Paris-Sud and ENS)
DTSTART:20110222T163000Z
DTEND:20110222T173000Z
UID:TALK29288@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:\nI will discuss some joint work with Anna Erschler and Balint
  Toth\, describing certain one-dimensional self-interacting walks on the s
 et of integers\, that choose to jump to the right or to the left randomly 
 but influenced by the number of times they have previously jumped along th
 e edges in the finite neighborhood of their current position. After descri
 bing the motivation to study such objects (the quest for new natural\, con
 tinuous and local evolutions of functions that are neither deterministic P
 DEs nor stochastic PDEs)\, we will survey a variety of possible asymptotic
  behaviors (including some where the walks is eventually confined in an in
 terval of arbitrarily large length) and the corresponding phase transition
 s.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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