Helen (Guo-Ying) Lei, Graduate student
Department of Mathematics, UCLA
<glei at math dot ucla dot edu>

(January 28, 2008) Revised: Conformal Invariance for Certain Models of the Bond-Triangular Type (paper & talk slides).

Papers

Conformal Invariance for Certain Models of the Bond-Triangular Type, with I. Binder and L. Chayes. Submitted.
(with L. Chayes) Cardy's Formula for Certain Models of the Bond-Triangular Type.
(with L. Chayes) Random Cluster Models on the Triangular Lattice.
Journal of Statistical Physics 122 no. 4, 647-670 (2006).

Talk Slides

Conferences and Program Attended

IPAM Random Shapes, Los Angeles. March 12 - June 15, 2007.
Spatial Random Processes and Statistical Mechanics, Oberwolfach. Sept 3-9, 2006.
Click here for the abstract of L. Chayes' talk (on the Cardy's formula paper).
Session on Probability and Statistical Physics (AMS Sectional), San Francisco State University. April 29-30, 2006.
93rd Statistical Mechanics Conference, Rutgers University. May 15-17, 2005.

Expository Writings

Some material related to the numerical analysis qualifying exam.
Another write up of the random cluster expansion and Edwards-Sokal measure. This one contains an overabundance of details.
Some material related to the algebra qualifying exam.
A write up of the random cluster expansion.
Notes for my talk on domino tilings for Math 290K (Fall 2005).
Some (complex analysis) notes on Smirnov's paper.

Classes TAed

Math 32A&B (Multivariable Calculus)
Math 132 (Complex Analysis)
Math 170A&B (Probability Theory)

Miscellaneous and Links