Permanental Point Processes on Real Tori, Theta Functions and Monge-Ampère Equations
arXiv:1604.05645
Abstract
Inspired by constructions in complex geometry we introduce a thermodynamic framework for Monge-Ampère equations on real tori. We show convergence in law of the associated point processes and explain connections to complex Monge-Ampère equations and optimal transport.
47 pages. Title changed to comply with submitted version