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Cluster representations of classical and quantum processes. (English) Zbl 1419.82019

Summary: A cluster representation of projections onto bounded regions of limiting measures due to V. A. Malyshev and R. A. Minlos [Gibbs random fields. Cluster expansions. Transl. from the Russian by R. Kotecky and P. Holicky. Dordrecht etc.: Kluwer Academic Publishers (1991; Zbl 0731.60099)] is developed under weaker conditions and in a general abstract way which covers not only classical but also permanental and determinantal processes.

MSC:

82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)

Citations:

Zbl 0731.60099
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