Ergodicity Of Partially Hyperbolic Endomorphisms

2025/05/08 by Hammerlindl, Andy, Tyler, Audrey
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.05620

Abstract

We prove that for volume preserving, partially hyperbolic, center bunched endomorphisms with constant Jacobian, essential accessibility implies ergodicity.

Related

• On the ergodicity of partially hyperbolic systems
• Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle
• On the Ergodicity of Rotation Extensions of Hyperbolic Endomorphisms
• Partial hyperbolicity and ergodicity in dimension three
• Stable Ergodicity and Accessibility for certain Partially Hyperbolic\n Diffeomorphisms with Bidimensional Center Leaves