Zobrazeno 1 - 10
of 13
pro vyhledávání: '"37D20, 37C15"'
Autor:
Kalinin, Boris, Sadovskaya, Victoria
We consider H\"older continuous $GL(d,\mathbb R)$-valued cocycles, and more generally linear cocycles, over an accessible volume-preserving center-bunched partially hyperbolic diffeomorphism. We study the regularity of a conjugacy between two cocycle
Externí odkaz:
http://arxiv.org/abs/2309.09130
We consider a hyperbolic toral automorphism $L$ and its $C^1$-small perturbation $f$. It is well-known that $f$ is Anosov and topologically conjugate to $L$, but a conjugacy $H$ is only H\"older continuous in general. We discuss conditions for smooth
Externí odkaz:
http://arxiv.org/abs/2207.02321
We study the regularity of a conjugacy $H$ between a hyperbolic toral automorphism $A$ and its smooth perturbation $f$ We show that if $H$ is weakly differentiable then it is $C^{1+H\"older}$ and, if $A$ is also weakly irreducible, then $H$ is $C^\in
Externí odkaz:
http://arxiv.org/abs/2111.01309
Autor:
Sadovskaya, Victoria
We consider Holder continuous cocycles over hyperbolic dynamical systems with values in the group of invertible bounded linear operators on a Banach space. We show that two fiber bunched cocycles are Holder continuously cohomologous if and only if th
Externí odkaz:
http://arxiv.org/abs/1612.03453
We introduce a relation of block conjugacy for irreducible toral automorphism, and prove that block conjugacy is equivalent to weak equivalence of the ideals associated to the automorphisms. We characterize when block conjugate automorphisms are actu
Externí odkaz:
http://arxiv.org/abs/1511.00763
Publikováno v:
Proceedings of the American Mathematical Society, Vol. 144, 9, 3757-3766 (2016)
For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the susp
Externí odkaz:
http://arxiv.org/abs/1412.7920
Autor:
Sadovskaya, Victoria
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2014) 2669-2688
We consider Holder continuous fiber bunched GL(d,R)-valued cocycles over an Anosov diffeomorphism. We show that two such cocycles are Holder continuously cohomologous if they have equal periodic data, and prove a result for cocycles with conjugate pe
Externí odkaz:
http://arxiv.org/abs/1307.3196
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the susp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e1fa0991baf2180d208122e051d5c87
https://doi.org/10.1090/proc/12977
https://doi.org/10.1090/proc/12977
Autor:
Victoria Sadovskaya
Publikováno v:
Ergodic Theory and Dynamical Systems. 35:2669-2688
We consider Holder continuous fiber bunched GL(d,R)-valued cocycles over an Anosov diffeomorphism. We show that two such cocycles are Holder continuously cohomologous if they have equal periodic data, and prove a result for cocycles with conjugate pe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2d06d4e0d6334a9a8cdcc1ca4ddf2d9
https://doi.org/10.1017/etds.2014.43
https://doi.org/10.1017/etds.2014.43
Autor:
Victoria Sadovskaya
We consider Holder continuous cocycles over hyperbolic dynamical systems with values in the group of invertible bounded linear operators on a Banach space. We show that two fiber bunched cocycles are Holder continuously cohomologous if and only if th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93a37ceb984d25f79c742f3e50b794d2
http://arxiv.org/abs/1612.03453
http://arxiv.org/abs/1612.03453