A central limit theorem for a classical gas

Zessin HN, Poghosyan S (2023)
Advances in Continuous and Discrete Models 2023(1): 47.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
DOI
Autor*in
Zessin, Hans NorbertUniBi; Poghosyan, Suren
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
For a class of translation-invariant pair potentials phi in (R-d,z lambda) satisfying a stability and regularity condition, we choose z so small that the associated collection G(phi,z lambda) of Gibbs processes contains at least the stationary process G, which is a Gibbs process in the sense of DLR and is given by the limiting Gibbs process with empty boundary conditions. Using an abstract version of the method of cluster expansions and Dobrushin's approach to the central limit theorem, we present a central limit theorem for the particle numbers of G.
Stichworte
Cluster expansions; Gibbs point processes; Classical continuous systems
Erscheinungsjahr
2023
Zeitschriftentitel
Advances in Continuous and Discrete Models
Band
2023
Ausgabe
1
Art.-Nr.
47
eISSN
2731-4235
Page URI
https://pub.uni-bielefeld.de/record/2985364

Zitieren

Zessin HN, Poghosyan S. A central limit theorem for a classical gas. Advances in Continuous and Discrete Models. 2023;2023(1): 47.
Zessin, H. N., & Poghosyan, S. (2023). A central limit theorem for a classical gas. Advances in Continuous and Discrete Models, 2023(1), 47. https://doi.org/10.1186/s13662-023-03793-1
Zessin, Hans Norbert, and Poghosyan, Suren. 2023. “A central limit theorem for a classical gas”. Advances in Continuous and Discrete Models 2023 (1): 47.
Zessin, H. N., and Poghosyan, S. (2023). A central limit theorem for a classical gas. Advances in Continuous and Discrete Models 2023:47.
Zessin, H.N., & Poghosyan, S., 2023. A central limit theorem for a classical gas. Advances in Continuous and Discrete Models, 2023(1): 47.
H.N. Zessin and S. Poghosyan, “A central limit theorem for a classical gas”, Advances in Continuous and Discrete Models, vol. 2023, 2023, : 47.
Zessin, H.N., Poghosyan, S.: A central limit theorem for a classical gas. Advances in Continuous and Discrete Models. 2023, : 47 (2023).
Zessin, Hans Norbert, and Poghosyan, Suren. “A central limit theorem for a classical gas”. Advances in Continuous and Discrete Models 2023.1 (2023): 47.
Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®
Suchen in

Google Scholar