Ruelle Operator Theorem for Nonexpansive systems

TL;DR

This paper extends the Ruelle operator theorem to nonexpansive systems by establishing sufficient conditions for its validity, broadening its applicability in dynamical systems and iterated function systems.

Contribution

It provides new sufficient conditions under which the Ruelle operator theorem holds for nonexpansive systems, a case less explored in prior research.

Findings

Established sufficient conditions for Ruelle operator theorem in nonexpansive systems

Extended applicability of Ruelle operator theorem beyond contractive systems

Contributed to the theoretical understanding of nonexpansive dynamical systems

Abstract

The Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for nonexpansive systems. Our theorems give some sufficient conditions for the Ruelle operator theorem to be held for a nonexpansive system.