期刊论文

Qiu, Yanqi

英文

Probability Theory and Related Fields

0178-8051

2018

172

1-2

31-69

10.1007/s00440-017-0803-z

European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programmeEuropean Research Council (ERC) [647133]; Russian FederationRussian Federation [MD 5991.2016.1]; Russian Academic Excellence ProjectMinistry of Education and Science, Russian FederationProject 5-100, Ministry of Education and Science, Russian Federation ['5-100']; Chaire Gabriel Lame at the Chebyshev Laboratory of the SPbSU, a joint initiative of the French Embassy in the Russian Federation; Saint-Petersburg State University; Programme "Investissements d'Avenir" of theGovernment of the French RepublicFrench National Research Agency (ANR) [IDEX UNITI-ANR-11-IDEX-0002-02]

本校为其他机构

For a determinantal point process induced by the reproducing kernel of the weighted Bergman space $$A^2(U, \omega )$$ over a domain $$U \subset \mathbb {C}^d$$ , we establish the mutual absolute continuity of reduced Palm measures of any order provided that the domain U contains a non-constant bounded holomorphic function. The result holds in all dimensions. The argument uses the $$H^\infty (U)$$ -module structure of $$A^2(U, \omega )$$ . A corollary is the quasi-invariance of our determinantal point process under the natural action o...