Research
Purpose Project

Current research in the 6-vertex model using matrix manipulations:

How can the 6-vertex model be used to help statistical mechanics in new ways?

How are two different models for making random tilings of a 6-vertex model matrix with domain wall boundary conditions related (markov chains and convergence)?

What do arctic regions in the results of both models mean?

What do the bounding shapes mean and can they be solved analytically for any cases?

What can be said about the bounding shapes and their relation to vertex and configuration weights?

What can be said abou the differing processes used to build the models and how they relate to the bounding shapes?