5 citations · 13 across the 6 of their papers we have counts for
7 papers
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…
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
Tom Claeys, Gabriel Glesner, Giulio Ruzza +1
We study Jánossy densities of a randomly thinned Airy kernel determinantal point process. We prove that they can be expressed in terms of solutions to the Stark and cylindrical Kor…
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy
Thomas Chouteau, Sofia Tarricone
Solutions of the discrete Painlevé II hierarchy are shown to be in relation with a family of Toeplitz determinants describing certain quantities in multicritical random partitions…
The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
Mattia Cafasso, Sofia Tarricone
We prove a Tracy-Widom type formula for the generating function of occupancy numbers on several disjoint intervals of the higher order Airy point processes. The formula is related…
Stokes manifolds and cluster algebras
Marco Bertola, Sofia Tarricone
Stokes' manifolds, also known as wild character varieties, carry a natural symplectic structure. Our goal is to provide explicit log-canonical coordinates for these natural Poisson…
Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel
Thomas Bothner, Mattia Cafasso, Sofia Tarricone
We rigorously compute the integrable system for the limiting distribution function of the extreme momentum of noninteracting fermions when confined to an…
A fully noncommutative Painlevé II hierarchy: Lax pair and solutions related to Fredholm determinants
Sofia Tarricone
We consider Fredholm determinants of matrix convolution operators associated to matrix versions of the th Airy functions. Using the theory of integrable operators, we relate…