Invariance principle in dynamical systems
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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Communications in Mathematics
- Volume
- Volume 34 (2026), Issue 2...
- Publication date
- 2 May 2026
- Language
- EN