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

Papers

Degenerate Diffusion With a Drift Potential: A Viscosity Solutions Approach, I. Kim. Submitted.
Conformal Invariance for Certain Models of the Bond-Triangular Type, with I. Binder and L. Chayes. Submitted.
Cardy's Formula for Certain Models of the Bond-Triangular Type, with L. Chayes.
Random Cluster Models on the Triangular Lattice, with L. Chayes.
Journal of Statistical Physics 122 no. 4, 647-670 (2006).

Talks

On Uniform Continuity of Crossing Probabilities: Slides and a script containing more or less what I said during the talk.
Conformal Invariance for Certain Models of the Bond Triangular Type
A Universality Result for Critical 2D Percolation Shorter version of the talk in the next item with more sparse slides.
Cardy's Formula for Certain Models of the Bond Triangular Type Talk on the paper with the same title. Click here for the abstract of L. Chayes' talk on the same subject.

Expository Writings

Notes on the first half of Otto's paper The Geometry of Dissipative Evolution Equations: The Porous Medium Equation (computation of the Hessian is incomplete)
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