An exponential representation for some integrals with respect to Lebesgue-Poisson measure. (English) Zbl 1313.82003

Boluh, V. A.; Rebenko, A. L.

Methods Funct. Anal. Topol. 20, No. 2, 186-192 (2014).

The authors propose a simple proof of a formula for some integrals with respect to the Lebesgue-Poisson measure on the configuration space. Such integrals appear in statistical mechanics; see D. Ruelle [Statistical mechanics. Rigorous results. New York etc.: W. A. Benjamin (1969; Zbl 0177.57301)]. The paper contains an application to the representation of a grand partition function.

Reviewer: Anatoly N. Kochubei (Kyïv)

MSC:

82B21	Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
82B05	Classical equilibrium statistical mechanics (general)

Keywords:

configuration space; Lebesgue-Poisson measure; grand partition function

Citations:

Zbl 0177.57301