Title: Non-constant ground configurations in the disordered Ising ferromagnet
Speaker: Ron Peled
Speaker Info: Tel Aviv University
The disordered Ising ferromagnet is a disordered version of the ferromagnetic Ising model in which the coupling constants are quenched random, chosen independently from a distribution on the non-negative reals. A ground configuration is a configuration of the model in infinite volume whose energy cannot be lowered by finite changes. It has been asked whether the disordered Ising ferromagnet on Z^D admits non-constant ground configurations. It is conjectured that such configurations do not exist in dimension D=2, as their existence is equivalent to the existence of bigeodesics in first-passage percolation. We prove that non-constant ground configurations do exist in dimensions D>=4 for suitable coupling constant distributions. The talk will discuss the problem and its background, and present ideas from the proof.Date: Tuesday, April 25, 2023
No previous familiarity with the topic will be assumed. Joint work with Michal Bassan and Shoni Gilboa.