Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Yongluo Cao"'
Autor:
RUI ZOU, YONGLUO CAO
Publikováno v:
Ergodic Theory and Dynamical Systems. :1-31
We extend Katok’s result on ‘the approximation of hyperbolic measures by horseshoes’ to Banach cocycles. More precisely, let f be a $C^r(r>1)$ diffeomorphism of a compact Riemannian manifold M, preserving an ergodic hyperbolic measure $\mu $ wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f3152be4b1c0203a9668b852695de3f
https://doi.org/10.1017/etds.2023.9
https://doi.org/10.1017/etds.2023.9
Publikováno v:
Journal of Differential Equations. 337:294-322
For a C^{1+\alpha} diffeomorphism f preserving a hyperbolic ergodic SRB measure \mu, Katok's remarkable results assert that \mu can be approximated by a sequence of hyperbolic sets \{\Lambda_n\}_{n\geq1}. In this paper, we prove the Hausdorff dimensi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20f2b0e83932ae8163293e87721c3f73
https://doi.org/10.1016/j.jde.2022.07.041
https://doi.org/10.1016/j.jde.2022.07.041
Publikováno v:
Stochastics and Dynamics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f5968fbc27bbf52c32a82b950bf8040
https://doi.org/10.1142/s0219493723500363
https://doi.org/10.1142/s0219493723500363
Publikováno v:
Communications in Mathematical Physics. 391:1271-1306
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::996d72dea355e3b98fd7a5d5af498a41
https://doi.org/10.1007/s00220-022-04338-5
https://doi.org/10.1007/s00220-022-04338-5
Publikováno v:
Nonlinearity. 35:567-588
Let A = {A 1, A 2, …, A k } be a finite collection of contracting affine maps, the corresponding pressure function P(A, s) plays the fundamental role in the study of dimension of self-affine sets. The zero of the pressure function always give the u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff842b3996b299e591995406fa36535b
https://doi.org/10.1088/1361-6544/ac3c2d
https://doi.org/10.1088/1361-6544/ac3c2d
Autor:
Yongluo Cao, Zeya Mi
Publikováno v:
Mathematische Zeitschrift. 299:2519-2560
For partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers, we establish a topological structure, called skeleton—a set consisting of finitely many hyperbolic periodic points with maximal cardinality for which the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60d4ea3e0bb787590e4f419b5afaf8c7
https://doi.org/10.1007/s00209-021-02766-y
https://doi.org/10.1007/s00209-021-02766-y
Publikováno v:
Journal of Differential Equations. 275:359-390
Let f be a C 1 -diffeomorphism which preserves an ergodic hyperbolic measure μ with positive measure-theoretic entropy. Assume that the Oseledec splitting T x M = E 1 ( x ) ⊕ ⋯ ⊕ E s ( x ) ⊕ E s + 1 ( x ) ⊕ ⋯ ⊕ E l ( x ) is dominated o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d1505e99675e102295d72ba9f2830c4
https://doi.org/10.1016/j.jde.2020.11.032
https://doi.org/10.1016/j.jde.2020.11.032
Publikováno v:
Geometric and Functional Analysis. 29:1325-1368
Given a non-conformal repeller $$\Lambda $$ of a $$C^{1+\gamma }$$ map, we study the Hausdorff dimension of the repeller and continuity of the sub-additive topological pressure for the sub-additive singular valued potentials. Such a potential always
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dbb79991c80940c08a613f065a2cf9a
https://doi.org/10.1007/s00039-019-00510-7
https://doi.org/10.1007/s00039-019-00510-7
Publikováno v:
Ergodic Theory and Dynamical Systems. 40:2305-2316
For differentiable dynamical systems with dominated splittings, we give upper estimates on the measure-theoretic tail entropy in terms of Lyapunov exponents. As our primary application, we verify the upper semi-continuity of metric entropy in various
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb93b5332049fec5385d82176aed35fa
https://doi.org/10.1017/etds.2019.10
https://doi.org/10.1017/etds.2019.10