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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-91@lptms.universite-paris-saclay.fr
DTSTART:20130212T110000Z
DTEND:20130212T120000Z
DTSTAMP:20130418T124158Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-serguei-nechaev/
SUMMARY:Séminaire du LPTMS: Serguei Nechaev - LPTMS\, salle 201\, 2ème é
 tage\, Bât 100\, Campus d'Orsay - 12 Fév 13 11:00
DESCRIPTION:From elongated spanning trees to vicious random walks\nSerguei 
 Nechaev\, LPTMS\nGiven a spanning forest on a large square lattice\, we co
 nsider by combinatorial methods a correlation function of k paths (k is od
 d) along branches of trees or\, equivalently\, k loop-erased random walks.
  Starting and ending points of the paths are grouped such that they form a
  k-leg watermelon. For large distance r between groups of starting and end
 ing points\, the ratio of the number of watermelon configurations to the t
 otal number of spanning trees behaves as r^{-\nu} \\log r with \nu = (k^2-
 1)/2. Considering the spanning forest stretched along the meridian of this
  watermelon\, we show that the two-dimensional k-leg loop-erased watermelo
 n exponent \nu is converting into the scaling exponent for the reunion pro
 bability (at a given point) of k (1+1)-dimensional vicious walkers\, \\til
 de{\nu} = k^2/2. Some consequences and generalizations of this result will
  be also discussed.
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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