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math.DS2022★ 8 cited
Rigidity of stable Lyapunov exponents and integrability for Anosov maps
Jinpeng An, Shaobo Gan, Ruihao Gu +1
Let be a non-invertible irreducible Anosov map on -torus. We show that if the stable bundle of is one-dimensional, then has the integrable unstable bundle, if and on…
math.DS2022
Lyapunov stable chain recurrence classes for singular flows
Shaobo Gan, Jiagang Yang, Rusong Zheng
We show that for a generic vector field away from homoclinic tangencies, a nontrivial Lyapunov stable chain recurrence class is a homoclinic class. The proof uses an argu…