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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2019 Volume 19, Number 1, Pages 133–151 (Mi mmj705)

This article is cited in 2 papers

Cluster representations of classical and quantum processes

Suren Poghosyana, Hans Zessinb

a Institute of Mathematics, Armenian National Academy of Sciences, Bagramian Av. 24 - 5, 0019, Yerevan, Armenia
b Fakultät für Mathematik der Universität Bielefeld, Postfach 10 01 31, D-33501 Bielefeld, Germany

Abstract: 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.

Key words and phrases: cluster expansion, cluster representation, Gibbs point process, quantum point process.

MSC: Primary 82B21; Secondary 60G55

DOI: 10.17323/1609-4514-2019-19-1-133-151



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