Anosov diffeomorphisms 1expanding foliations 1Gibbs states 1measure of maximal u-entropy 1rigidity 1
From the 1 of 3 linked papers with an AI index.
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.DS2024
Equilibrium states for the classical Lorenz attractor and sectional-hyperbolic attractors in higher dimensions
Maria Jose Pacifico, Fan Yang, Jiagang Yang
It has long been conjectured that the classical Lorenz attractor supports a unique measure of maximal entropy. In this article, we give a positive answer to this conjecture and its…
math.DS2024
Maximal transverse measures of expanding foliations
Raul Ures, Marcelo Viana, Fan Yang +1
For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call \emph{maximal}, describing the stati…