activity
20192026
most citedEntropies and volume growth of unstable manifolds

7 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

math.DS2026

Entropy formula for surface diffeomorphisms

Yuntao Zang

Let be a () diffeomorphism on a compact surface with where $λ^{+}(f):=\lim_{n\to+\infty}\frac{1}{n}\max_{x\in M}\log \left…

math.DS2025

Measures of maximal entropy for three-dimensional flows

Yuntao Zang

We prove that every non-singular flow with positive entropy on a compact three-dimensional manifold without boundary admits finitely many ergodic measures of maximal ent…

math.DS2020

Volume growth and topological entropy of certain partially hyperbolic systems

Dawei Yang, Yuntao Zang

Let be a diffeomorphism on a compact manifold admitting a partially hyperbolic splitting $TM=E^{s}\oplus_{\prec} E^{1}\oplus_{\prec} E^{2}\cdots \oplus_{\prec}E^{l}…

math.DS2020

SRB measures for partially hyperbolic flows with mostly expanding center

Zeya Mi, Biao You, Yuntao Zang

We prove that a partially hyperbolic attractor for a vector field with two dimensional center supports an SRB measure. In addition, we show that if the vector field is ,…

math.DS2020★ 7 cited

Entropies and volume growth of unstable manifolds

Yuntao Zang

Let be a diffeomorphism on a compact manifold. Ledrappier and Young introduced entropies along unstable foliations for an ergodic measure . We relate those entropies t…

math.DS2019

On the volume of sectional-hyperbolic sets

Daofei Zhang, Yuntao Zang

For a transitive sectional-hypebolic set with positive volume on a -dimensional manifold (), we show that and is a uniformly hyperbolic set without singu…