Moscow Mathematical Journal

Volume 19, Issue 1, January–March 2019 pp. 133–151.

Cluster Representations of Classical and Quantum Processes

Authors: Suren Poghosyan (1) and Hans Zessin (2)
Author institution:(1) Institute of Mathematics, Armenian National Academy of Sciences, Bagramian Av. 24 - 5, 0019, Yerevan, Armenia
(2) Fakultät für Mathematik der Universität Bielefeld, Postfach 10 01 31, D-33501 Bielefeld, Germany

Summary:

A cluster representation of projections onto bounded regions of limiting measures due to Minlos and Malyshev is developed under weaker conditions and in a general abstract way which covers not only classical but also permanental and determinantal processes.

2010 Math. Subj. Class. Primary: 82B21, Secondary: 60G55.

Keywords: Cluster expansion, cluster representation, Gibbs point process, quantum point process.

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