2 papers
math.DS2025
Stable manifolds, Horseshoes and Lyapunov exponents for diffeomorphisms without domination
Yongluo Cao, Zeya Mi, Rui Zou
We develop the nonuniformly hyperbolic theory for diffeomorphisms admitting continuous invariant splitting without domination. This framework includes stable manifold theorem…
math.DS2025
Pesin (un)stable manifold without domination
Yongluo Cao, Zeya Mi, Rui Zou
For diffeomorphisms with continuous invariant splitting without domination, we prove the existence of (un)stable manifold under the hyperbolicity of invariant measures.