Ergodicity Of Partially Hyperbolic Endomorphisms
Andy Hammerlindl, Audrey Tyler
TL;DR
This paper proves that for a specific class of volume-preserving, partially hyperbolic endomorphisms with constant Jacobian, the property of essential accessibility guarantees ergodicity, advancing understanding of their dynamical behavior.
Contribution
It establishes a new link between essential accessibility and ergodicity for a class of partially hyperbolic endomorphisms with constant Jacobian.
Findings
Essential accessibility implies ergodicity in the studied class.
The results apply to volume-preserving, center bunched endomorphisms.
The paper advances the theoretical understanding of ergodic properties in dynamical systems.
Abstract
We prove that for volume preserving, partially hyperbolic, center bunched endomorphisms with constant Jacobian, essential accessibility implies ergodicity.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Geometric and Algebraic Topology