From the 1 of 4 linked papers with an AI index.
4 papers
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…
Discontinuity of Lyapunov exponents vs Entropy for smooth surface diffeomorphisms
Jérôme Buzzi
Lyapunov exponents are fundamental invariants in smooth ergodic theory describing the asymptotic infinitesimal behavior along typical orbits. This text aims to explain how and why…
Chaos on surfaces and beyond: a new notion of dynamical hyperbolicity
Jérôme Buzzi
We present some developments in the study of chaotic dynamics following the solution of a conjecture of Newhouse on the measures maximizing the entropy of smooth surface diffeomorp…
Continuity properties of ergodic measures of maximal entropy for surface diffeomorphisms
Jérôme Buzzi, Chiyi Luo, Dawei Yang
Let be a surface diffeomorphism with large entropy (more precisely, ). Then the number of ergodic measures of maximal entropy is upper se…