Geodesic
On the Hyperbolicity of Toral Endomorphisms
Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 251-268

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Nonsingular endomorphisms of the $m$-torus $\mathbb T^m$, $m\ge 2$, which are $C^1$ perturbations of linear hyperbolic endomorphisms are considered. Sufficient conditions for such maps to be hyperbolic (i.e., belong to the class of Anosov endomorphisms) are found.
Mots-clés : endomorphism, torus, Anosov endomorphism.
Keywords: hyperbolicity 
@article{MZM_2019_105_2_a6,
     author = {A. Yu. Kolesov and N. Kh. Rozov and V. A. Sadovnichii},
     title = {On the {Hyperbolicity} of {Toral} {Endomorphisms}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {251--268},
     publisher = {mathdoc},
     volume = {105},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a6/}
}
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A. Yu. Kolesov; N. Kh. Rozov; V. A. Sadovnichii. On the Hyperbolicity of Toral Endomorphisms. Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 251-268. http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a6/