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pro vyhledávání: '"Kalinin, Boris"'
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:
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:
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
We study the regularity of the conjugacy between an Anosov automorphism $L$ of a torus and its small perturbation. We assume that $L$ has no more than two eigenvalues of the same modulus and that $L^4$ is irreducible over $\mathbb Q$. We consider a v
Externí odkaz:
http://arxiv.org/abs/1808.06249
Autor:
Kalinin, Boris, Sadovskaya, Victoria
We consider linear cocycles over non-uniformly hyperbolic dynamical systems. The base system is a diffeomorphism $f$ of a compact manifold $X$ preserving a hyperbolic ergodic probability measure $\mu$. The cocycle $A$ over $f$ is Holder continuous an
Externí odkaz:
http://arxiv.org/abs/1707.05892
Autor:
Kalinin, Boris, Sadovskaya, Victoria
Publikováno v:
Geometriae Dedicata, Vol. 183 (2016), no. 1, 181-194
In this paper we consider a diffeomorphism $f$ of a compact manifold $M$ which contracts an invariant foliation $W$ with smooth leaves. If the differential of $f$ on $TW$ has narrow band spectrum, there exist coordinates $H _x:W_x\to T_xW$ in which $
Externí odkaz:
http://arxiv.org/abs/1612.03454
Autor:
Kalinin, Boris, Sadovskaya, Victoria
We consider group-valued cocycles over dynamical systems with hyperbolic behavior. The base system is either a hyperbolic diffeomorphism or a mixing subshift of finite type. The cocycle $A$ takes values in the group of invertible bounded linear opera
Externí odkaz:
http://arxiv.org/abs/1608.05758