2 papers
math.DS2026
On the Absence of Anosov Factors for DA Local Diffeomorphisms
Ruihao Gu, Mingyang Xia
We give a class of local diffeomorphisms which are homotopic to toral hyperbolic endomorphisms, but which are not topologically semi-conjugate, within the homotopic class of the id…
math.DS2023
Semi-conjugacy rigidity for endomorphisms derived from Anosov on the 2-torus
Ruihao Gu, Mingyang Xia
Let be a non-invertible partially hyperbolic endomorphism on $\TT^2$ which is derived from a non-expanding Anosov endomorphism. Differing from the case of diffeomorphisms deriv…