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Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture

Bufetov, AI; Qiu, YQ; Shamov, A

Bufetov, AI (corresponding author), Aix Marseille Univ, Cent Marseille, CNRS, Inst Math Marseille,UMR7373, F-13453 Marseille, France.; Bufetov, AI (corresponding author), RAS, Steklov Math Inst, Moscow, Russia.; Bufetov, AI (corresponding author), Inst Informat Transmiss Problems, Moscow, Russia.; Bufetov, AI (corresponding author), St Petersburg State Univ, Chebyshev Lab, St Petersburg, Russia.

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021; 23 (5): 1477

Abstract

The main result of this paper, Theorem 1.4, establishes a conjecture of Lyons and Peres: for a determinantal point process governed by a self-adjoint ......

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