S. Gorbunov

most citedSpeed of convergence in the Central Limit Theorem for the determinantal point process with the Bessel kernel

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math.PR2025

Gessel-Type Expansion for the Circular $β$ -Ensemble and Central Limit Theorem for the Sine- $β$ Process for $β \leq 2$

Sergei M. Gorbunov

We obtain a Gessel-type expansion in Jack polynomials for the expectations of multiplicative functionals in the circular $β$ -ensemble. As a consequence, we establish a Szegő-type l…

Gessel-Type Expansion for the Circular β-Ensemble and Central Limit Theorem for the Sine-β Process for β≤2

Gessel-Type Expansion for the Circular $β$ -Ensemble and Central Limit Theorem for the Sine- $β$ Process for $β \leq 2$