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Schedule, Notes/Handouts & Videos

Critical Percolation and Conformally Invariant Processes April 30, 2001 - May 04, 2001

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Apr 30, 2001
Monday
08:00 AM - 05:00 PM
  Random triangulations and planar maps
Gilles Schaeffer
08:00 AM - 05:00 PM
  A Bird's-Eye View of Uniform Spanning Trees and Forests
Russell Lyons
08:00 AM - 05:00 PM
  Conformally invariant scaling curves and quantum gravity
Bertrand Duplantier
08:00 AM - 05:00 PM
  Critical Percolation for 2D Coarsening
Charles Newman (New York University, Courant Institute)
08:00 AM - 05:00 PM
  Finite-Size Scaling in Probability and Computer Science: Part I
Jennifer Chayes (Microsoft Research)
08:00 AM - 05:00 PM
  Finite-Size Scaling in Probability and Computer Science: Part II
Christian Borgs
08:00 AM - 05:00 PM
  On some conformally invariant subsets of the Brownian curve
Vincent Beffara
08:00 AM - 05:00 PM
  Power laws and conformal invariance on the two dimensional triangular lattice
Yu Zhang
May 01, 2001
Tuesday
09:30 AM - 10:00 AM
  Mean number of crossing clusters and related results
John Cardy
10:00 AM - 11:00 AM
  Critical Site Percolation on Triangular Lattace
Stanislav Smirnov
11:00 AM - 11:30 AM
  A simple competition model related to a Loewner equation
Nikolai Makarov (California Institute of Technology)
11:30 AM - 02:00 PM
  TBA
Gilles Schaeffer
02:00 PM - 02:30 PM
  Random metrics
Itai Benjamini
02:30 PM - 03:30 PM
  On the critical behavior of the length of shortest paths in regular and invasion percolation
Agoston Pisztora
03:30 PM - 04:30 PM
  Conformal invariance for percolation (Tutorial)
Stanislav Smirnov
May 02, 2001
Wednesday
09:30 AM - 10:00 AM
  Random maps from Z^2 to Z/qZ
Richard Kenyon (Brown University)
10:00 AM - 11:00 AM
  Loop-erased walks and total positivity
Sergey Fomin (University of Michigan)
11:00 AM - 12:00 PM
  LERW/UST/domino
Russell Lyons
May 03, 2001
Thursday
09:30 AM - 10:00 AM
  Conformally invariant scaling limits and SLE
Oded Schramm
10:00 AM - 11:00 AM
  Geometry of the uniform spanning forest
Yuval Peres (Microsoft Research)
11:00 AM - 11:30 AM
  Basic properties of SLE
Steffen Rohde (University of Washington)
11:30 AM - 02:00 PM
  TBA
Vincent Beffara
02:00 PM - 02:30 PM
  SLE and the self-avoiding walk
Gregory Lawler (University of Chicago)
02:30 PM - 03:30 PM
  TBA
Charles Newman (New York University, Courant Institute)
03:30 PM - 04:30 PM
  SLE Tutorial
Oded Schramm
May 04, 2001
Friday
09:30 AM - 10:00 AM
  On the groundstate of the percolation transfer matrix
Bernard Nienhuis
10:00 AM - 11:00 AM
  Winding Angle Variance of Random Curves
David Wilson (University of Washington)
11:00 AM - 11:30 AM
  Hyperscaling and Finite-Size Scaling in Percolation, Part I
Jennifer Chayes (Microsoft Research)
11:30 AM - 01:30 PM
  Hyperscaling and Finite-Size Scaling in Percolation, Part II
Christian Borgs
01:30 PM - 02:00 PM
  TBA
Bertrand Duplantier
02:00 PM - 02:20 PM
  TBA
Yu Zhang
02:20 PM - 03:20 PM
  What next?
Michael Aizenman