Abstract:
We consider dynamics of lozenge tiling, or equivalently that of dimer covers of honeycomb lattice, or 3D Young diagrams. One can choose the flip rate to satisfy the so-called gradient condition. The hydrodynamic limit of this model was studied by Laslier and Toninelli under the periodic boundary condition. We discuss the corresponding large deviation principle. This is ongoing project with Fabio Toninelli and Kenkichi Tsunoda.
Biography:
Tadahisa Funaki is a Professor Emeritus of the University of Tokyo and a Professor at Waseda University in Tokyo. He has worked on interacting systems, hydrodynamic limit, stochastic partial differential equations, KPZ equation and others. Some of his recent works are summarized in his book "Lectures on Random Interfaces", SpringerBriefs published in 2016.

详情请查看：https://research.shanghai.nyu.edu/centers-and-institutes/math/events/large-deviation-lozenge-tiling-dynamics