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math.DS2026
Margulis Measures on Expanding Foliations: Construction and Rigidity
Jérôme Buzzi, Yi Shi, Fan Yang +1
Given a diffeomorphism preserving a one-dimensional expanding foliation with homogeneous exponential growth, we construct a family of reference measures on each leaf o…
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 functi…
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 $…