Speaker: Shirshendu Ganguly, UC Berkeley
January 4, 2024 09:30 AM
- 10:30 AM
Abstract:
Gibbsian line ensembles describing families of random interacting curves arise naturally in many different contexts in probability and statistical physics. Important examples which have been the topic of much recent study include trajectories of eigenvalues of random matrices as their entries are perturbed, random interfaces arising in multi-layered polynuclear growth, level curves of random height functions induced by entropically repulsed low temperature Ising ferromagnets etc..
Various questions of interest arise about such line ensembles, for instance, pertaining to the existence and characterization of infinite volume limits, ergodicity, correlation decay, finite dimensional distributions and so on.
In this talk we will review some of the recent developments in this area aiming to address the above questions.