Convergent Finie Volume Schemes for Nonlinear Diffusion Reaction Equations Applications for mining, biology and population dynmics &The characterization of the ground state solution for a class of elliptic equations in $R^n$.
Scaling limits for the simple random walks on the Incipient Infinite Cluster (IIC) and the IIC projected on the backbone
Stochastic Behavior of Ion Channels: Consequences to Neural Function and Mathematical Modeling Algorithms