Work

Invariance principle in dynamical systems

Year: 2026

Type: article

Abstract: In this survey we talk about what is known as Invariance Principle in dynamical systems. It states that the disintegration of measures with zero center Lyapunov exponents admits some extra invariance by holonomies. We focus on explaining the basic definitions and ideas behind a series of results about the Invariance Principle and give some basic applications on how this is used in dynamical systems.

Source: Communications in Mathematics

DOI: 10.46298/cm.17138

Authors: Karina Marin, Mauricio Poletti

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico, Instituto Serrapilheira

Award: G8018387754

OpenAlex ID: W4417464884

FWCI:

Cites:

Cited by:

Related to: