Conditional measures of generalized Ginibre point processes

The main result of this paper is that conditional measures of generalized Ginibre point processes, with respect to the configuration in the complement of a bounded open subset on C, are orthogonal polynomial ensembles with weights found explicitly. An especially simple formula for conditional measur...

Full description

Saved in:
Bibliographic Details
Published inJournal of functional analysis Vol. 272; no. 11; pp. 4671 - 4708
Main Authors Bufetov, Alexander I., Qiu, Yanqi
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.06.2017
Elsevier
Subjects
Determinantal point processes
Functional Analysis
Mathematics
Multiplicative functionals
Probability
Quasi-invariance
The Gibbs property
Determinantal point processes
Quasi-invariance
The Gibbs property
Multiplicative functionals
multiplicative functionals
quasi-invariance
the Gibbs property
determinantal point processes
Online AccessGet full text

Cover

More Information
Summary:The main result of this paper is that conditional measures of generalized Ginibre point processes, with respect to the configuration in the complement of a bounded open subset on C, are orthogonal polynomial ensembles with weights found explicitly. An especially simple formula for conditional measures is obtained in the particular case of radially-symmetric determinantal point processes, including the classical Ginibre point process.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2017.03.004