Reading seminar in probability - Fall 2010

Our aim is to review the recent progress in 2D statistical physics models and other topics in probability. Our upcoming agenda is:

Percolation: Smirnov's celebrated paper proving the conformal invariance of crossing probabilities.
Self-avoiding walk: Smirnov's and Duminil-Copin recent paper, enumerating the number of self-avoiding paths in the hexagonal lattice.
Ising model: Smirnov's and Smirnov and Chelkak's papers proving conformal invariance of the interface of 2D critical Ising model.

Only basic background in probability and complex analysis will be needed.

September 23: Asaf Nachmias Conformal invariance of crossing probabilities, part I.
September 30: Asaf Nachmias Conformal invariance of crossing probabilities, part II.
October 7th: Cancelled!
October 14th: Scott Sheffield Schramm's proof of Watts' formula.
October 21th: Postponed to October 26!
October 26th (note special date!): Sam Watson The self-avoiding walk on the hexagonal lattice, part I.
October 28th: Dana Mendelson The self-avoiding walk on the hexagonal lattice, part II.
November 4th: Asaf Nachmias Conformal invariance of the 2D Ising model, part I.
November 11th, Veteran's day.
November 18th: Olivier Bernardi Conformal invariance of the 2D Ising model, part II.
November 24th, 2-103, 3-4:30pm (note special date and time!): Dana Mendelson Connection probabilities and RSW-type bounds for the FK Ising model

Wendelin Werner's Park city lecture notes on 2D critical percolation.
Vincent Beffara's paper Cardy's formula on the triangular lattice, the easy way.
Vincent Beffara's paper Is critical 2D percolation universal?

For organizational matters and participation please contact Asaf Nachmias.

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