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math.PR2024
Deformations of biorthogonal ensembles and universality
Tom Claeys, Guilherme L. F. Silva
We consider a large class of deformations of continuous and discrete biorthogonal ensembles and investigate their behavior in the limit of a large number of particles. We provide s…
math-ph2024
Large deviations for the log-Gamma polymer
Tom Claeys, Julian Mauersberger
We conjecture an explicit expression for the lower tail large deviation rate function of the partition function of the log-Gamma polymer. We rigorously prove our result, except for…
math-ph2024
Biorthogonal measures, polymer partition functions, and random matrices
Mattia Cafasso, Tom Claeys
We develop the study of a particular class of biorthogonal measures, encompassing at the same time several random matrix models and partition functions of polymers. This general fr…