4 papers · 1 filter
Biorthogonal ensembles of derivative type
Tom Claeys, Jiyuan Zhang
In this paper, we prove that biorthogonal ensembles on the real line with a specific derivative structure admit an explicit correlation kernel of double contour integral form. We w…
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…
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…
On the integrable structure of deformed sine kernel determinants
Tom Claeys, Sofia Tarricone
We study a family of Fredholm determinants associated to deformations of the sine kernel, parametrized by a weight function w. For a specific choice of w, this kernel describes bul…