Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Disheng Xu"'
Publikováno v:
Journal of Sustainable Cement-Based Materials. 12:170-183
Publikováno v:
SSRN Electronic Journal.
Publikováno v:
Ergodic Theory and Dynamical Systems. 42:2841-2865
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on ${\mathbb T}^3$ which is homotopic to an Anosov automorphism, and we show that either its centralizer is virtually trivial or such diffeomorphism is smoothly conjugat
Publikováno v:
Inventiones mathematicae. 220:673-714
We prove that a $$C^k$$, $$k\ge 2$$ pseudo-rotation f of the disc with non-Brjuno rotation number is $$C^{k-1}$$-rigid. The proof is based on two ingredients: (1) we derive from Franks’ Lemma on free discs that a pseudo-rotation with small rotation
Publikováno v:
Duke Mathematical Journal. 170
We discover a rigidity phenomenon within the volume-preserving partially hyperbolic diffeomorphisms with $1$-dimensional center. In particular, for smooth, ergodic perturbations of certain algebraic systems -- including the discretized geodesic flows
Autor:
Disheng Xu, Danijela Damjanovic
Publikováno v:
Ergodic Theory and Dynamical Systems. 40:117-141
We prove that every smooth diffeomorphism group valued cocycle over certain$\mathbb{Z}^{k}$Anosov actions on tori (and more generally on infranilmanifolds) is a smooth coboundary on a finite cover, if the cocycle is center bunched and trivial at a fi
Autor:
Disheng Xu, Danijela Damjanovic
We prove global smooth classification results for TNS totally Anosov Z^k actions on general compact manifolds, under each one of the following conditions: joint integrability, resonance-free or Lyapunov pinching condition. Unlike the previous results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb989f9df4aa9ba9693dbd8825c3dbdd
Autor:
Christian Sadel, Disheng Xu
We show that linear analytic cocycles where all Lyapunov exponents are negative infinite are nilpotent. For such one-frequency cocycles we show that they can be analytically conjugated to an upper triangular cocycle or a Jordan normal form. As a cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f60fb19aa9c9540154ab6942fcea7a6
http://arxiv.org/abs/1601.06118
http://arxiv.org/abs/1601.06118
Autor:
Disheng Xu, Clark Butler
We study smooth volume-preserving perturbations of the time-1 map of the geodesic flow $\psi_{t}$ of a closed Riemannian manifold of dimension at least three with constant negative curvature. We show that such a perturbation has equal extremal Lyapun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d67af9c6ba6dd75e78852a829eb073b
Publikováno v:
Bulletin of the Brazilian Mathematical Society
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b3b72502400b37060fbf41d3a7b1003