Abstract for the talk on 10.08.2018 (11:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Georg Menz (University of California, Los Angeles)
Variational principles for discrete maps
About joint work with Martin Tassy and/or Andrew Krieger. Previous works have shown that arctic circle phenomenons and limiting behaviors of some integrable discrete systems can be explained by a variational principle.
In this talk we present a method to deduce variational principles for non-integrable discrete systems. We illustrate the method by considering two different models. In the first model, we consider graph homomorphisms form Z^d to a regular tree. In the second model, we derive a quenched variational principle for height functions exposed to a random field.