Amir Dembo

Disordered Gibbs measures and Gaussian conditioning

Abstract We study the law of a random field $$f_N(\varvec{\sigma })$$ f N ( σ ) evaluated at a random sample from the Gibbs measure associated to a Gaussian field $$H_N(\varvec{\sigma })$$ H N ( σ ) . In the high-temperature regime, we show that bounds on the probability that $$f...