Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Kocsard, Alejandro"'
Autor:
Kocsard, Alejandro
Publikováno v:
Ergod. Th. Dynam. Sys. 41 (2021) 2946-2982
We provide a complete characterization of periodic point free homeomorphisms of the $2$-torus admitting irrational circle rotations as topological factors. Given a homeomorphism of the $2$-torus without periodic points and exhibiting uniformly bounde
Externí odkaz:
http://arxiv.org/abs/1908.05746
We prove the so called Liv\v{s}ic theorem for cocycles taking values in the group of $C^{1+\beta}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypothesis is assumed, this result is completely global in the spac
Externí odkaz:
http://arxiv.org/abs/1711.02135
This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that under mild assumptions, such a homeomorphism exhibits uniformly bounded r
Externí odkaz:
http://arxiv.org/abs/1704.04788
Autor:
Kocsard, Alejandro
We prove that any minimal $2$-torus homeomorphism which is isotopic to the identity and whose rotation set is not just a point exhibits uniformly bounded rotational deviations on the perpendicular direction to the rotation set. As a consequence of th
Externí odkaz:
http://arxiv.org/abs/1611.03784
Publikováno v:
Duke Math. J. 169, no. 17 (2020), 3261-3290
Let $S$ be a closed surface and $\text{Diff}_{\text{Vol}}(S)$ be the group of volume preserving diffeomorphisms of $S$. A finitely generated group $G$ is periodic of bounded exponent if there exists $k \in \mathbb{N}$ such that every element of $G$ h
Externí odkaz:
http://arxiv.org/abs/1607.04603
Publikováno v:
Differ. Geom. Appl. 49, 496-509 (2016)
In this paper we study the geodesic flow on nilmanifolds equipped with a left-invariant metric. We write the underlying definitions and find general formulas for the Poisson involution. As an example we develop the Heisenberg Lie group equipped with
Externí odkaz:
http://arxiv.org/abs/1508.05286
Autor:
Kocsard, Alejandro, Potrie, Rafael
We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in very low regularity. We also obtain a general result (in any dimension) w
Externí odkaz:
http://arxiv.org/abs/1409.4138
Autor:
Backes, Lucas H., Kocsard, Alejandro
Publikováno v:
Ergod. Th. Dynam. Sys. 36 (2016) 1703-1722
We prove a rigidity theorem for dominated H\"{o}lder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if two such cocycles have equal periodic data, then they are cohomol
Externí odkaz:
http://arxiv.org/abs/1408.3085
Autor:
Berger, Pierre, Kocsard, Alejandro
We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unf
Externí odkaz:
http://arxiv.org/abs/1306.6799
A smooth diffeomorphism is said to be distributionally uniquely ergodic (DUE for short) when it is uniquely ergodic and its unique invariant probability measure is the only invariant distribution (up to multiplication by a constant). Ergodic translat
Externí odkaz:
http://arxiv.org/abs/1211.1519