Zobrazeno 1 - 10
of 92
pro vyhledávání: '"37D25, 37D30"'
Given a continuous linear cocycle $\mathcal{A}$ over a homeomorphism $f$ of a compact metric space $X$, we investigate its set $\mathcal{R}$ of Lyapunov-Perron regular points, that is, the collection of trajectories of $f$ that obey the conclusions o
Externí odkaz:
http://arxiv.org/abs/2409.01798
For $C^{1+}$ maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an adapted hyperbolic measure carries at most one adapted hyperbolic measure of maximal entropy. We then apply this to study the finiteness/uniq
Externí odkaz:
http://arxiv.org/abs/2405.04676
How often does it occur that the measure of maximal entropy of a system is an SRB measure? We study this question for $C^{1+\alpha}$ partially hyperbolic diffeomorphisms isotopic to Anosov (DA-diffeomorphisms) on ${\mathbb T}^{3}$, and establish a ri
Externí odkaz:
http://arxiv.org/abs/2404.05645
For $C^1$ diffeomorphisms with continuous invariant splitting without domination, we prove the existence of Pesin (un)stable manifold under the hyperbolicity of invariant measures.
Externí odkaz:
http://arxiv.org/abs/2402.11263
Autor:
Alves, José F., Matias, João S.
Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contr
Externí odkaz:
http://arxiv.org/abs/2401.06024
Autor:
Mi, Zeya, Cao, Yongluo
We study the partially hyperbolic diffeomorphims whose center direction admits the u-definite property in the sense that all the central Lyapunov exponents of each ergodic Gibbs u-state are either all positive or all negative. We prove that for this
Externí odkaz:
http://arxiv.org/abs/2308.08139
Autor:
Cao, Yongluo, Mi, Zeya
Let $f$ be a $C^2$ diffeomorphism on compact Riemannian manifold $M$ with partially hyperbolic splitting $$ TM=E^u\oplus E_1^c\oplus\cdots\oplus E_k^c \oplus E^s, $$ where $E^u$ is uniformly expanding, $E^s$ is uniformly contracting, and ${\rm dim}E_
Externí odkaz:
http://arxiv.org/abs/2306.06575
Autor:
Yemini, Bruno
Given a linear cocycle over an ergodic homeomorphism on a compact metric space, we show that the existence of a uniform gap between the $p$-th and $(p+1)$-th Lyapunov exponent on a $C^0$-neighbourhood implies the existence of a dominated splitting of
Externí odkaz:
http://arxiv.org/abs/2110.11301
Autor:
Obata, Davi
In this paper we obtain $C^2$-open sets of dissipative, partially hyperbolic skew products having a unique SRB measure with full support and full basin. These partially hyperbolic systems have a two dimensional center bundle which presents both expan
Externí odkaz:
http://arxiv.org/abs/2107.12916
Autor:
Araujo, Vitor, Trindade, Edvan
Publikováno v:
Journal of Dynamics and Differential Equations, nov, 2021 (online)
We extend results on robust exponential mixing for geometric Lorenz attractors, with a dense orbit and a unique singularity, to singular-hyperbolic attracting sets with any number of (either Lorenz- or non-Lorenz-like) singularities and finitely many
Externí odkaz:
http://arxiv.org/abs/2012.13183