Search Results - "Hu, Huyi"

SRB measures for pointwise hyperbolic systems on open regions by Chen, Jianyu, Hu, Huyi, Zhou, Yunhua

“…A diffeomorphism f : M → M is pointwise partially hyperbolic on an open invariant subset N ⊂ M if there is an invariant decomposition T N M = E u ⊕ E c ⊕ E s…”
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Equilibriums of some non-Hölder potentials by Hu, Huyi

“…We consider one-sided subshifts \sigma with some potential functions \varphi which satisfy the Hölder condition everywhere except at a fixed point and its…”
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Quasi-stability of partially hyperbolic diffeomorphisms by HU, HUYI, ZHU, YUJUN

“…A partially hyperbolic diffeomorphism fstable if for any diffeomorphism g-close to f of M \pi \circ g f\circ \pi along center directions. f C^0, the above…”
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Unstable entropies and variational principle for partially hyperbolic diffeomorphisms by Hu, Huyi, Hua, Yongxia, Wu, Weisheng

“…We study entropies caused by the unstable part of partially hyperbolic systems. We define unstable metric entropy and unstable topological entropy, and…”
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The dimensions of a non-conformal repeller and an average conformal repeller by BAN, JUNGCHAO, CAO, YONGLUO, HU, HUYI

“…In this paper, using thermodynamic formalism for the sub-additive potential, upper bounds for the Hausdorff dimension and the box dimension of non-conformal…”
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Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus by Hu, HuYi, Jiang, YunPing

“…We prove that the restrictions of the conjugacy between two Anosov diffeomorphisms of the two-torus to the stable and unstable manifolds are quasisymmetric…”
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Conditions for the Existence of SBR Measures for ``Almost Anosov'' Diffeomorphisms by Hu, Huyi

“…A diffeomorphism f of a compact manifold M is called ``almost Anosov'' if it is uniformly hyperbolic away from a finite set of points. We show that under some…”
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Some ergodic and rigidity properties of discrete Heisenberg group actions by Hu, Huyi, Shi, Enhui, Wang, Zhenqi Jenny

“…The goal of this paper is to study ergodic and rigidity properties of smooth actions of the discrete Heisenberg group H . We establish the decomposition of the…”
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Dimension theory of iterated function systems by Feng, De-Jun, Hu, Huyi

“…Let {Si} i = 1𝓁 be an iterated function system (IFS) on ℝd with attractor K. Let (Σ, σ) denote the one‐sided full shift over the alphabet {1, …, 𝓁}. We…”
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A Volume Preserving Diffeomorphism with Essential Coexistence of Zero and Nonzero Lyapunov Exponents by Hu, Huyi, Pesin, Yakov, Talitskaya, Anna

“…We show that there exists a C ∞ volume preserving topologically transitive diffeomorphism of a compact smooth Riemannian manifold which is ergodic (indeed is…”
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The essential coexistence phenomenon in dynamics by Chen, Jianyu, Hu, Huyi, Pesin, Yakov

“…This article is a survey of recent results on the essential coexistence of hyperbolic and non-hyperbolic behaviour in dynamics. Though in the absence of a…”
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Pseudo-orbits, stationary measures and metastability by Bahsoun, Wael, Hu, Huyi, Vaienti, Sandro

“…We characterize absolutely continuous stationary measures (acsms) of randomly perturbed dynamical systems in terms of pseudo-orbits linking the ergodic…”
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Every compact manifold carries a hyperbolic diffeomorphism with countably infinitely many ergodic components by Chen, Jianyu, Hu, Huyi, Yang, Yun

“…In this paper, we prove that every compact smooth Riemannian manifold of dimension $\ge 5$ carries a smooth volume preserving nonuniformly hyperbolic…”
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The spectral gap for transfer operators of torus extensions over expanding maps by Chen, Jianyu, Hu, Huyi

“…Nonlinearity 32 (2019), no. 1, 356-393 We study the spectral gap for transfer operators of the skew product $F: \mathbb{T}^d\times \mathbb{T}^\ell\to…”
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Unstable Entropies and Variational Principle for Partially Hyperbolic Diffeomorphisms by Hu, Huyi, Hua, Yongxia, Wu, Weisheng

“…We study entropies caused by the unstable part of partially hyperbolic systems. We define unstable metric entropy and unstable topological entropy, and…”
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Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphsims by Hu, Huyi, Wu, Weisheng, Zhu, Yujun

“…Unstable pressure and u-equilibrium states are introduced and investigated for a partially hyperbolic diffeomorphsim $f$. We define the u-pressure $P^u(f,…”
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The essential coexistence phenomenon in Hamiltonian dynamics by Chen, Jianyu, Hu, Huyi, Pesin, Yakov, Zhang, Ke

“…We construct an example of a Hamiltonian flow $f^t$ on a $4$-dimensional smooth manifold $\mathcal{M}$ which after being restricted to an energy surface…”
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Lower Bounds for the Decay of Correlations in Non-uniformly Expanding Maps by Hu, Huyi, Vaienti, Sandro

“…We give conditions under which nonuniformly expanding maps exhibit lower bounds of polynomial type for the decay of correlations and for a large class of…”
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Box Dimensions and Topological Pressure for some Expanding Maps by Hu, Huyi

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Quasi-Stability of Partially Hyperbolic Diffeomorphisms by Hu, Huyi, Zhu, Yujun

“…A partially hyperbolic diffeomorphism $f$ is structurally quasi-stable if for any diffeomorphism $g$ $C^1$-close to $f$, there is a homeomorphism $\pi$ of $M$…”
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