Upper semi-continuity of metric entropy for $\mathcal{C}^{1,α}$ diffeomorphisms
Fuente:
arXiv
Saved in:
| Main Authors: | Luo, Chiyi, Yang, Dawei |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Upper semi-continuity of metric entropy for diffeomorphisms with dominated splitting
by: Luo, Chiyi, et al.
Published: (2024)
by: Luo, Chiyi, et al.
Published: (2024)
Ergodic measures with large entropy have long unstable manifolds for $C^\infty$ surface diffeomorphisms
by: Luo, Chiyi, et al.
Published: (2024)
by: Luo, Chiyi, et al.
Published: (2024)
Continuity properties of ergodic measures of maximal entropy for $C^r$ surface diffeomorphisms
by: Buzzi, Jérôme, et al.
Published: (2024)
by: Buzzi, Jérôme, et al.
Published: (2024)
Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms
by: Luo, Chiyi, et al.
Published: (2026)
by: Luo, Chiyi, et al.
Published: (2026)
Effective SPR property for surface diffeomorphisms and three-dimensional vector fields
by: Burguet, David, et al.
Published: (2025)
by: Burguet, David, et al.
Published: (2025)
On the loss of upper semi-continuity of metric entropy for $C^{r}$ diffeomorphisms
by: Bai, Xinyu, et al.
Published: (2026)
by: Bai, Xinyu, et al.
Published: (2026)
The Bernoulli property of Sinai-Ruelle-Bowen measures for flows
by: Luo, Chiyi, et al.
Published: (2026)
by: Luo, Chiyi, et al.
Published: (2026)
Ledrappier-Young entropy formula for $C^1$ diffeomorphisms with dominated splitting Part 1: Unstable entropy formula and invariance principle
by: Gan, Shaobo, et al.
Published: (2025)
by: Gan, Shaobo, et al.
Published: (2025)
SRB measures for mostly expanding partially hyperbolic diffeomorphisms via the variational approach
by: Burguet, David, et al.
Published: (2023)
by: Burguet, David, et al.
Published: (2023)
Characterization of SRB Measures for Random Dynamical Systems in a Banach space
by: Luo, Chiyi, et al.
Published: (2022)
by: Luo, Chiyi, et al.
Published: (2022)
Unstable entropy for Anosov diffeomorphisms on the 3-torus
by: Humbert, Tristan
Published: (2025)
by: Humbert, Tristan
Published: (2025)
Finitness of measured homoclinic classes with large Lyapunov exponents for $\mathcal{C}^2$ surface diffeomorphisms
by: Ghezal, Matéo
Published: (2025)
by: Ghezal, Matéo
Published: (2025)
Upper metric mean dimensions with potential of $ε$-stable sets
by: Yang, Rui, et al.
Published: (2023)
by: Yang, Rui, et al.
Published: (2023)
Bohr chaoticity, semi-horseshoes and full-entropy abundance
by: Hou, Xiaobo, et al.
Published: (2026)
by: Hou, Xiaobo, et al.
Published: (2026)
Generalized $u$-Gibbs measures for $C^\infty$ diffeomorphisms
by: Ovadia, Snir Ben, et al.
Published: (2025)
by: Ovadia, Snir Ben, et al.
Published: (2025)
Stable manifolds, Horseshoes and Lyapunov exponents for $C^1$ diffeomorphisms without domination
by: Cao, Yongluo, et al.
Published: (2025)
by: Cao, Yongluo, et al.
Published: (2025)
Katok's entropy conjecture near real and complex hyperbolic metrics
by: Humbert, Tristan
Published: (2024)
by: Humbert, Tristan
Published: (2024)
Anosov diffeomorphisms of open surfaces
by: Ovadia, Snir Ben, et al.
Published: (2024)
by: Ovadia, Snir Ben, et al.
Published: (2024)
Modulus of continuity of invariant densities and entropies for piecewise expanding maps
by: Alves, José F., et al.
Published: (2024)
by: Alves, José F., et al.
Published: (2024)
Hölder continuous maps on the interval with positive metric mean dimension
by: Acevedo, Jeovanny M., et al.
Published: (2022)
by: Acevedo, Jeovanny M., et al.
Published: (2022)
A smooth Gaussian-Kronecker diffeomorphism
by: Benhenda, Mostapha
Published: (2025)
by: Benhenda, Mostapha
Published: (2025)
Optimal linear response for Anosov diffeomorphisms
by: Froyland, Gary, et al.
Published: (2025)
by: Froyland, Gary, et al.
Published: (2025)
The amount of nonhyperbolicity for partially hyperbolic diffeomorphisms
by: Díaz, Lorenzo J., et al.
Published: (2024)
by: Díaz, Lorenzo J., et al.
Published: (2024)
Topologically stable manifolds for index-$1$ singular dominated splittings
by: Crovisier, Sylvain, et al.
Published: (2025)
by: Crovisier, Sylvain, et al.
Published: (2025)
Transitive partially hyperbolic diffeomorphisms in dimension three
by: Feng, Ziqiang
Published: (2025)
by: Feng, Ziqiang
Published: (2025)
Exponential decay of correlations for random interval diffeomorphisms
by: Czudek, Klaudiusz
Published: (2025)
by: Czudek, Klaudiusz
Published: (2025)
$(ω, α, n)$-sensitivity and limit sets of zero entropy homeomorphisms on the square
by: Mai, Jiehua, et al.
Published: (2024)
by: Mai, Jiehua, et al.
Published: (2024)
A variational principle for metric mean dimension via lower Brin-Katok local entropy
by: Shi, Ruxi
Published: (2026)
by: Shi, Ruxi
Published: (2026)
On uniformly quasiconformal Anosov diffeomorphisms with two dimensional distributions
by: Zhang, Jiesong
Published: (2023)
by: Zhang, Jiesong
Published: (2023)
Entropy properties of mostly expanding partially hyperbolic diffeomorphisms
by: Zhang, Jinhua
Published: (2024)
by: Zhang, Jinhua
Published: (2024)
Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms
by: Costa, José Santana, et al.
Published: (2023)
by: Costa, José Santana, et al.
Published: (2023)
Transitivity of real Anosov diffeomorphisms
by: Carvalho, Bernardo
Published: (2024)
by: Carvalho, Bernardo
Published: (2024)
A Lyapunov function for a Synchronisation diffeomorphism of three clocks
by: Buescu, Jorge, et al.
Published: (2025)
by: Buescu, Jorge, et al.
Published: (2025)
Lyapunov spectrum rigidity and simultaneous linearization for random Anosov diffeomorphisms
by: Brown, Aaron, et al.
Published: (2026)
by: Brown, Aaron, et al.
Published: (2026)
Rigidity and equidistribution of random walks by diffeomorphisms near the conservative regime
by: Bénard, Timothée, et al.
Published: (2026)
by: Bénard, Timothée, et al.
Published: (2026)
On the dimension theory of random walks and group actions by circle diffeomorphisms
by: He, Weikun, et al.
Published: (2023)
by: He, Weikun, et al.
Published: (2023)
Product Anosov diffeomorphisms and the two-sided limit shadowing property
by: Carvalho, Bernardo
Published: (2015)
by: Carvalho, Bernardo
Published: (2015)
Expanding on average diffeomorphisms of surfaces: exponential mixing
by: DeWitt, Jonathan, et al.
Published: (2024)
by: DeWitt, Jonathan, et al.
Published: (2024)
Anosov contact metrics, Dirichlet optimization and entropy
by: Hozoori, Surena
Published: (2023)
by: Hozoori, Surena
Published: (2023)
Finitary Ryan's and local $\mathcal{Q}$ entropy for $\mathbb{Z}^{d}$ subshifts
by: Salo, Ville, et al.
Published: (2025)
by: Salo, Ville, et al.
Published: (2025)
Similar Items
-
Upper semi-continuity of metric entropy for diffeomorphisms with dominated splitting
by: Luo, Chiyi, et al.
Published: (2024) -
Ergodic measures with large entropy have long unstable manifolds for $C^\infty$ surface diffeomorphisms
by: Luo, Chiyi, et al.
Published: (2024) -
Continuity properties of ergodic measures of maximal entropy for $C^r$ surface diffeomorphisms
by: Buzzi, Jérôme, et al.
Published: (2024) -
Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms
by: Luo, Chiyi, et al.
Published: (2026) -
Effective SPR property for surface diffeomorphisms and three-dimensional vector fields
by: Burguet, David, et al.
Published: (2025)