3 papers
math.AP2009
Degenerate diffusion with a drift potential: a viscosity solutions approach
I. C. Kim, H. K. Lei
We introduce a notion of viscosity solutions for a nonlinear degenerate diffusion equation with a drift potential. We show that our notion of solutions coincide with the weak solut…
math-ph2006
Cardy's Formula for Certain Models of the Bond-Triangular Type
L. Chayes, H. K. Lei
We introduce and study a family of 2D percolation systems which are based on the bond percolation model of the triangular lattice. The system under study has local correlations, ho…
cond-mat.stat-mech2005
Random Cluster Models on the Triangular Lattice
L. Chayes, H. K. Lei
We study percolation and the random cluster model on the triangular lattice with 3-body interactions. Starting with percolation, we generalize the star--triangle transformation: We…