Dynamically incoherent surface endomorphisms

Published 26 Oct 2020 in math.DS | (2010.13941v2)

Abstract: We explicitly construct a dynamically incoherent partially hyperbolic endomorphisms of $\mathbb{T}^2$ in the homotopy class of any linear expanding map with integer eigenvalues. These examples exhibit branching of centre curves along countably many circles, and thus exhibit a form of coherence that has not been observed for invertible systems.

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