[Équivalence de measures de Palm pour les processus déterminantaux associés aux espaces de Hilbert des fonctions holomorphes]
On obtient des formules explicites, sous forme des fonctionnelles multiplicatives régularisées liées à certains produits de Blaschke, des dérivées de Radon–Nikodym entre toutes les mesures de Palm pour les processus déterminantaux associés aux espaces de Bergman pondérés sur le disque. Notre méthode s'applique également aux processus déterminantaux associés aux espaces de Fock pondérés.
We obtain explicit formulae, in the form of regularized multiplicative functionals related to certain Blaschke products, of the Radon–Nikodym derivatives between reduced Palm measures of all orders for determinantal point processes associated with a large class of weighted Bergman spaces on the disk. Our method also applies to determinantal point processes associated with weighted Fock spaces.
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@article{CRMATH_2015__353_6_551_0,
author = {Bufetov, Alexander I. and Qiu, Yanqi},
title = {Equivalence of {Palm} measures for determinantal point processes associated with {Hilbert} spaces of holomorphic functions},
journal = {Comptes Rendus. Math\'ematique},
pages = {551--555},
publisher = {Elsevier},
volume = {353},
number = {6},
year = {2015},
doi = {10.1016/j.crma.2015.03.018},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2015.03.018/}
}
TY - JOUR AU - Bufetov, Alexander I. AU - Qiu, Yanqi TI - Equivalence of Palm measures for determinantal point processes associated with Hilbert spaces of holomorphic functions JO - Comptes Rendus. Mathématique PY - 2015 SP - 551 EP - 555 VL - 353 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2015.03.018/ DO - 10.1016/j.crma.2015.03.018 LA - en ID - CRMATH_2015__353_6_551_0 ER -
%0 Journal Article %A Bufetov, Alexander I. %A Qiu, Yanqi %T Equivalence of Palm measures for determinantal point processes associated with Hilbert spaces of holomorphic functions %J Comptes Rendus. Mathématique %D 2015 %P 551-555 %V 353 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2015.03.018/ %R 10.1016/j.crma.2015.03.018 %G en %F CRMATH_2015__353_6_551_0
Bufetov, Alexander I.; Qiu, Yanqi. Equivalence of Palm measures for determinantal point processes associated with Hilbert spaces of holomorphic functions. Comptes Rendus. Mathématique, Tome 353 (2015) no. 6, pp. 551-555. doi : 10.1016/j.crma.2015.03.018. http://archive.numdam.org/articles/10.1016/j.crma.2015.03.018/
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