Invariance principle in dynamical systems
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.
Authors
- Karina Marin (ORCID: https://orcid.org/0000-0002-6506-7180)
- Mauricio Poletti (ORCID: https://orcid.org/0000-0002-9322-4155)
Publication Details
- Journal
- Communications in Mathematics
- Published
- 2026-05-02
- DOI
- https://doi.org/10.46298/cm.17138
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico
- Instituto Serrapilheira