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

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math.FA2025

Central limit theorem for the determinantal point process with the confluent hypergeometric kernel

Sergei M. Gorbunov

We consider the convergence of additive functionals under the determinantal point process with the confluent hypergeometric kernel, corresponding to a sufficiently smooth function…

math.FA2025

Unitary transform diagonalizing the Confluent Hypergeometric kernel

Sergei M. Gorbunov

We consider the image of the operator inducing the determinantal point process with the confluent hypergeometric kernel. The space is described as the image of under a…

math.FA2024★ 4 cited

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

Sergei M. Gorbunov

We consider a family of linear operators, diagonalized by the Hankel transform. The Fredholm determinants of these operators, restricted to , are expressed in a convenie…