Determinantal point processes associated with Hilbert spaces of holomorphic functions

DOI10.1007/s00220-017-2840-yzbMath1406.60073arXiv1411.4951OpenAlexW2245592633MaRDI QIDQ521136

Alexander I. Bufetov, Yanqi Qiu

Publication date: 6 April 2017

Published in: Communications in Mathematical Physics, Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4951

zbMATH Keywords

weighted Bergman spacesholomorphic functionsFock spacesBlaschke productsdeterminantal point processesweighted Fock spacesPalm measuresRadon-Nikodym derivativesRadon-Nikodým derivatives

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Bergman spaces and Fock spaces (30H20)

Related Items (26)

A survey on determinantal point processes ⋮ The Patterson-Sullivan reconstruction of pluriharmonic functions for determinantal point processes on complex hyperbolic spaces ⋮ Equivalence of palm measures for determinantal point processes governed by Bergman kernels ⋮ Partial isometries, duality, and determinantal point processes ⋮ Point processes, hole events, and large deviations: random complex zeros and Coulomb gases ⋮ Truncations of random unitary matrices drawn from Hua-Pickrell distribution ⋮ The conditional measures for the determinantal point process with the Bergman kernel ⋮ A rigidity property of superpositions involving determinantal processes ⋮ New Hilbert space tools for analysis of graph Laplacians and Markov processes ⋮ A strong duality principle for equivalence couplings and total variation ⋮ Fluctuations of the Process of Moduli for the Ginibre and Hyperbolic Ensembles ⋮ Rigid stationary determinantal processes in non-Archimedean fields ⋮ Unnamed Item ⋮ Rigidity of the \(\operatorname{Sine} _{\beta }\) process ⋮ \(J\)-Hermitian determinantal point processes: balanced rigidity and balanced palm equivalence ⋮ Determinantal point processes associated with Hilbert spaces of holomorphic functions ⋮ Conditional measures of generalized Ginibre point processes ⋮ Number rigidity in superhomogeneous random point fields ⋮ Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture ⋮ On expanding neighborhoods of local universality of Gaussian unitary ensembles ⋮ Stationary determinantal processes on \({\mathbb{Z}}^d\) with \(N\) labeled objects per site. I: Basic properties and full domination ⋮ Rigidity hierarchy in random point fields: random polynomials and determinantal processes ⋮ The hyperbolic-type point process ⋮ Rigidity of determinantal point processes on the unit disc with sub-Bergman kernels ⋮ Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas ⋮ Circulant L-ensembles in the thermodynamic limit

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