Zobrazeno 1 - 10
of 18
pro vyhledávání: '"37D30, 37C15"'
We study regularity of a conjugacy between a hyperbolic or partially hyperbolic toral automorphism $L$ and a $C^\infty$ diffeomorphism $f$ of the torus. For a very weakly irreducible hyperbolic automorphism $L$ we show that any $C^1$ conjugacy is $C^
Externí odkaz:
http://arxiv.org/abs/2407.13877
Autor:
Sandfeldt, Sven
We obtain a global rigidity result for abelian partially hyperbolic higher rank actions on certain $2-$step nilmanifolds $X_{\Gamma}$. We show that, under certain natural assumptions, all such actions are $C^{\infty}-$conjugated to an affine model. A
Externí odkaz:
http://arxiv.org/abs/2401.00654
Autor:
Sadovskaya, Victoria
Publikováno v:
Ergod. Th. Dynam. Sys. 42 (2022) 263-286
We consider H\"older continuous cocycles over an accessible partially hyperbolic system with values in the group of diffeomorphisms of a compact manifold $M$. We obtain several results for this setting. If a cocycle is bounded in $C^{1+\gamma}$, we s
Externí odkaz:
http://arxiv.org/abs/2008.00567
Autor:
Kalinin, Boris
We present the theory of non-stationary normal forms for uniformly contracting smooth extensions with sufficiently narrow Mather spectrum. We give coherent proofs of existence, (non)uniqueness, and a description of the centralizer results. As a corol
Externí odkaz:
http://arxiv.org/abs/2006.12662
We study perturbations of a partially hyperbolic toral automorphism L which is diagonalizable over C and has a dense center foliation. For a small perturbation of L with a smooth center foliation we establish existence of a smooth leaf conjugacy to L
Externí odkaz:
http://arxiv.org/abs/1908.03177
Autor:
Kalinin, Boris, Sadovskaya, Victoria
We consider group-valued cocycles over a partially hyperbolic diffeomorphism which is accessible volume-preserving and center bunched. We study cocycles with values in the group of invertible continuous linear operators on a Banach space. We describe
Externí odkaz:
http://arxiv.org/abs/1408.5602
Let $f$ be a partially hyperbolic diffeomorphism. $f$ is called has the quasi-shadowing property if for any pseudo orbit $\{x_k\}_{k\in \mathbb{Z}}$, there is a sequence $\{y_k\}_{k\in \mathbb{Z}}$ tracing it in which $y_{k+1}$ lies in the local cent
Externí odkaz:
http://arxiv.org/abs/1405.0081
Autor:
Bohnet, Doris
We consider a partially hyperbolic C1-diffeomorphism f on a smooth compact manifold M with a uniformly compact f-invariant center foliation. We show that if the unstable bundle is one-dimensional and oriented, then the holonomy of the center foliatio
Externí odkaz:
http://arxiv.org/abs/1303.4099
Autor:
Bohnet, Doris, Bonatti, Christian
We show that a partially hyperbolic $C^1$ -diffeomorphism $f : M \to M$ with a uniformly compact $f$ -invariant center foliation $F^c$ is dynamically coherent. Further, the induced homeomorphism $F : M/F^c \to M/F^c$ on the quotient space of the cent
Externí odkaz:
http://arxiv.org/abs/1210.2835
Autor:
Victoria Sadovskaya
Publikováno v:
Ergodic Theory and Dynamical Systems. 42:263-286
We consider H\"older continuous cocycles over an accessible partially hyperbolic system with values in the group of diffeomorphisms of a compact manifold $M$. We obtain several results for this setting. If a cocycle is bounded in $C^{1+\gamma}$, we s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b7e2e19dd62a63863a4dfd5ceee0b46
https://doi.org/10.1017/etds.2020.131
https://doi.org/10.1017/etds.2020.131
