Variational principle for subadditive sequence of potentials in bundle RDS

TL;DR

This paper establishes a variational principle for topological pressure associated with subadditive potentials in bundle random dynamical systems, potentially aiding multifractal analysis in nonconformal random systems.

Contribution

It introduces a variational principle for topological pressure under weak conditions in bundle RDS with subadditive potentials, expanding theoretical understanding.

Findings

Topological pressure defined for subadditive potentials in bundle RDS.

A variational principle established under weak assumptions.

Potential applications in multifractal analysis of nonconformal systems.

Abstract

The topological pressure is defined for subadditive sequence of potentials in bundle random dynamical systems. A variational principle for the topological pressure is set up in a very weak condition. The result may have some applications in the study of multifractal analysis for random version of nonconformal dynamical systems.