55 citations · 376 across the 28 of their papers we have counts for
30 papers
Multiplicative Averages of Plancherel Random Partitions: Elliptic Functions, Phase Transitions, and Applications
Mattia Cafasso, Matteo Mucciconi, Giulio Ruzza
We consider random integer partitions that follow the Poissonized Plancherel measure of parameter . Using RiemannHilbert techniques, we establish the asymptotics of the…
Unitary ensembles with a critical edge point, their multiplicative statistics and the Korteweg-de-Vries hierarchy
Mattia Cafasso, Carla Mariana da Silva Pinheiro
We study the multiplicative statistics associated to the limiting determinantal point process describing unitary random matrices with a critical edge point, where limiting density…
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…
Integrable equations associated with the finite-temperature deformation of the discrete Bessel point process
Mattia Cafasso, Giulio Ruzza
We study the finite-temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as w…
Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent method
Mattia Cafasso, Di Yang
We extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz--Ladik hierarchy. In particular, we derive a formula for the generating…
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…