Combinatorial Approach to the Description of Random Fields

Combinatorial Approach to the Description of Random Fields

We develop a combinatorial approach to the description of lattice random fields with general (Polish) state space. This approach based on so-called P-functions, which can be interpreted as a system of limiting correlation functions. We suggest a method of construction of P-functions, which can be ap...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Lobachevskii journal of mathematics 2021-10, Vol.42 (10), p.2337-2347
Hauptverfasser: Khachatryan, L. A., Nahapetian, B. S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Combinatorial analysis
Fields (mathematics)
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We develop a combinatorial approach to the description of lattice random fields with general (Polish) state space. This approach based on so-called P-functions, which can be interpreted as a system of limiting correlation functions. We suggest a method of construction of P-functions, which can be applied in the theory of Gibbs random fields.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221100103