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UID:1-35@lptms.universite-paris-saclay.fr
DTSTART:20120321T110000Z
DTEND:20120321T110000Z
DTSTAMP:20130418T124609Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-excepti
 onnel-du-lptms-y-ikhlef/
SUMMARY:Séminaire exceptionnel du LPTMS: Y. Ikhlef - LPTMS\, salle 201\, 2
 ème étage\, Bât 100\, Campus d'Orsay - 21 Mar 12 11:00
DESCRIPTION:Finite-size left-passage probability in percolation\nYacine Ikh
 lef\, Université de Genève\nThe main objects of study in 2D percolation 
 are the percolation clusters and the lattice curves surrounding them (hull
 s). In the scaling limit\, Conformal Field Theory (CFT) and SLE allow the 
 determination of correlation functions of these hulls. It turns out that s
 ome of these functions can be computed in finite size\, opening a way to r
 igorous proofs of conformal invariance and universality\, and uncovering s
 ome less understood aspects of CFT. I will present how\, using transfer-ma
 trix methods (Yang-Baxter\, qKZ)\, we obtained an exact expression of the 
 probability for a percolation hull to touch the boundary\, on a strip of f
 inite width L. We also relate the left-passage probability in the Fortuin-
 Kasteleyn cluster model to the magnetisation profile in the open XXZ chain
 : this is a new geometrical application of Bethe-Ansatz techniques develop
 ed for spin chains.
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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