Preprint

Fixed points of Lyapunov integral operators and Gibbs measures

F. H. HaydarovNational University of Uzbekistan, TAshkent, Uzbekistan

arXiv (Cornell University)repository2017en

ABI

Abstract

In this paper we shall consider the connections between Lyapunov integral operators and Gibbs measures for four competing interactions of models with uncountable (i.e. $[0,1]$) set of spin values on a Cayley tree. And we shall prove the existence of fixed points of Lyapunov integral operators and give a condition of uniqueness of fixed points.

Topics

Theoretical and Computational Physics Mathematical Dynamics and Fractals Markov Chains and Monte Carlo Methods

Identifiers

DOI: 10.48550/arxiv.1708.06902

Citations and references

Cited by 01 references

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