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math-ph2026
ODE/IM Correspondence at the Free-Fermion Point. Laguerre Wronskians, Shifted Symmetric Functions, and Quantum KdV
Davide Masoero, Giulio Ruzza
We consider the ODE/IM correspondence for the value of the Virasoro central charge (free-fermion point) and the associated quantum KdV model the quantization of the seco…
math.AG2026
On the large genus of Hurwitz numbers
Davide Accadia, Danilo LewaÅski, Giulio Ruzza
Hurwitz theory provides a large variety of enumerative problems related to algebraic geometry, mathematical physics, and combinatorics. We give a general framework to approach the…
math-ph2026
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 th…