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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-34@lptms.universite-paris-saclay.fr
DTSTART:20120417T110000Z
DTEND:20120417T110000Z
DTSTAMP:20130418T124525Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
s-m-tamm/
SUMMARY:Séminaire du LPTMS: M. Tamm - LPTMS\, salle 201\, 2ème étage\, B
ât 100\, Campus d'Orsay - 17 Avr 12 11:00
DESCRIPTION:Overlap of Brownian trajectories\nMikhail Tamm\, Physics Dept.\
, Moscow State University\nI will present our recent results on the mean n
umber of common sites visited by several random walk trajectories of a giv
en length starting at a given distance from each other. I will start with
the formulation of the problem and show the general solution in the Laplac
e space which is viable for any Markovian random walks in any geometry\; t
hen proceed to consideration of the Brownian motion in two specific cases:
that of several trajectories starting from a common center\, and that of
two trajectories starting at a given distance. For the first case\, I will
show the existence of three distinct regimes depending on the dimensional
ity of space and the number of trajectories\, and construct the correspond
ing morphology diagram. For the second case\, I will show that in 1D and 3
D it is possible to do the reverse Laplace transform and get the explicit
expressions for the scaling functions of interest\, which turn out to be i
n perfect agreement with computer simulation results.\nThe work is done in
collaboration with S. Majumdar (LPTMS)\, A. Ilyina (Moscow State Universi
ty)\, and D. Grebenkov (Ecole Polytechnique).
CATEGORIES:seminars
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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