From the 1 of 4 linked papers with an AI index.
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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…
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…
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 $…
Measures of intermediate pressures for geometric Lorenz attractors
Yi Shi, Xiaodong Wang
Pressure measures the complexity of a dynamical system concerning a continuous observation function. A dynamical system is called to admit the intermediate pressure property if for…
A -connecting lemma for Lorenz attractors and its application on the space of ergodic measures
Yi Shi, Xueting Tian, Xiaodong Wang
For every , we prove a -connecting lemma for Lorenz attractors. To be precise, for a Lorenz attractor of a -dimensional ($r\geq…