1 citations · 1 across the 1 of their papers we have counts for
5 papers
Accessibility of derived-from-Anosov systems
Andy Hammerlindl, Yi Shi
This paper shows any non-Anosov partially hyperbolic diffeomorphism on the 3-torus which is homotopic to Anosov must be accessible.
A countable partition for singular flows, and its application on the entropy theory
Yi Shi, Fan Yang, Jiagang Yang
In this paper, we construct a countable partition for flows with hyperbolic singularities by introducing a new cross section at each singularity. Such partition forms…
Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions
Yi Shi
For a singular Riemannian foliation on a Riemannian manifold, a curve is called horizontal if it meets the leaves of perpendicularly. For a singular Rie…
Rigidity of center Lyapunov exponents and -integrability
Shaobo Gan, Yi Shi
Let be a conservative partially hyperbolic diffeomorphism, which is homotopic to an Anosov automorphism on . We show that the stable and unstable bundles of $…
Measures of intermediate entropies for star vector fields
Ming Li, Yi Shi, Shirou Wang +1
We prove that all star vector fields, including Lorenz attractors and multisingular hyperbolic vector fields, admit the intermediate entropy property. To be precise, if is a st…