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non-invertible dynamics

Ergodic Theory and Dynamical Systems (1)

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Partially hyperbolic surface endomorphisms
Part of
LAYNE HALL, ANDY HAMMERLINDL
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 1 / January 2021

Published online by Cambridge University Press:

03 September 2019, pp. 272-282

Print publication:

January 2021
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We prove that a class of weakly partially hyperbolic endomorphisms on $\mathbb{T}^{2}$ are dynamically coherent and leaf conjugate to linear toral endomorphisms. Moreover, we give an example of a partially hyperbolic endomorphism on $\mathbb{T}^{2}$ which does not admit a centre foliation.