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math.DS2020
Classification of partially hyperbolic surface endomorphisms
Layne Hall, Andy Hammerlindl
We show that in the absence of periodic centre annuli, a partially hyperbolic surface endomorphism is dynamically coherent and leaf conjugate to its linearisation. We proceed to ch…
math.DS2020
Dynamically incoherent surface endomorphisms
Layne Hall, Andy Hammerlindl
We explicitly construct a dynamically incoherent partially hyperbolic endomorphisms of in the homotopy class of any linear expanding map with integer eigenvalues. Th…
math.DS2018★ 11 cited
Partially hyperbolic surface endomorphisms
Layne Hall, Andy Hammerlindl
We prove that a class of weakly partially hyperbolic endomorphisms on are dynamically coherent and leaf conjugate to linear toral endomorphisms. Moreover, we give an…