3 papers
math.DS2026
Margulis Measures on Expanding Foliations: Construction and Rigidity
Jérôme Buzzi, Yi Shi, Fan Yang +1
The paper constructs special reference measures on the leaves of a one‑dimensional expanding foliation preserved by a diffeomorphism and shows that any measure with maximal u‑entro…
math.DS2026
The Teichmüller Space of a 3-Dimensional Anosov Flow
Ruihao Gu, Yi Shi
For a transitive Anosov flow on 3-dimensional closed manifold , we realize its Teichmüller space in the sense of smooth orbit-equivalence classes as a product of two func…
math.DS2026
Lyapunov spectrum rigidity and simultaneous linearization for random Anosov diffeomorphisms
Aaron Brown, Yi Shi
In this paper we study the Lyapunov spectrum rigidity for random walks of expanding maps on unit circle and Anosov diffeomorphisms on -torus . Let $…