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DTSTAMP:20260403T220452Z
UID:1583499600@ist.ac.at
DTSTART:20200306T140000
DTEND:20200306T145000
DESCRIPTION:Speaker: Nathanael Berestycki\nhosted by M. Beiglböck\, N. Ber
 estycki\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: We study a self-at
 tractive random walk such that each trajectory of length $N$ is penalized 
 by a factor proportional to $\\exp(−|R_N |)$\, where $R_N$ is the set of
  sites visited by the walk. We show that the range of such a walk is close
  to a solid Euclidean ball of radius approximately $\\rho_d N^{1/(d+2) }$\
 , for some explicit constant $\\rho_d >0$. This proves a conjecture of Bol
 thausen (1994) who obtained this result in the case d = 2. Joint work with
  Raphael Cerf (Paris).
LOCATION:Rényi Institute\, Budapest\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Nathanael Berestycki: Localisation of a random walk in dimensions $
 d \\ge 3$
URL:https://talks-calendar.ista.ac.at/events/2647
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