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pro vyhledávání: '"Ures, Raul"'
Autor:
Feng, Ziqiang, Ures, Raúl
We prove that every $C^2$ conservative partially hyperbolic diffeomorphism of a closed 3-manifold without periodic points is ergodic, which gives an affirmative answer to the Ergodicity Conjecture by Hertz-Hertz-Ures in the absence of periodic points
Externí odkaz:
http://arxiv.org/abs/2404.07062
How often does it occur that the measure of maximal entropy of a system is an SRB measure? We study this question for $C^{1+\alpha}$ partially hyperbolic diffeomorphisms isotopic to Anosov (DA-diffeomorphisms) on ${\mathbb T}^{3}$, and establish a ri
Externí odkaz:
http://arxiv.org/abs/2404.05645
For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call \emph{maximal}, describing the statistics of how the iterates of a given leaf intersect the cross-sections
Externí odkaz:
http://arxiv.org/abs/2212.05172
We construct measures of maximal $u$-entropy for any partially hyperbolic diffeomorphism that factors over an Anosov torus automorphism and has mostly contracting center direction. The space of such measures has a finite dimension, and its extreme po
Externí odkaz:
http://arxiv.org/abs/2011.02637
Let $f$ be a $C^2$ partially hyperbolic diffeomorphisms of ${\mathbb T}^3$ (not necessarily volume preserving or transitive) isotopic to a linear Anosov diffeomorphism $A$ with eigenvalues $$\lambda_{s}<1<\lambda_{c}<\lambda_{u}.$$ Under the assumpti
Externí odkaz:
http://arxiv.org/abs/1912.05786
We characterize the maximal entropy measures of partially hyperbolic C^2 diffeomorphisms whose center foliations form circle bundles, by means of suitable finite sets of saddle points, that we call skeletons. In the special case of 3-dimensional nilm
Externí odkaz:
http://arxiv.org/abs/1909.00219
We show that conservative partially hyperbolic diffeomorphism isotopic to the identity on Seifert 3-manifolds are ergodic.
Comment: 1 figure
Comment: 1 figure
Externí odkaz:
http://arxiv.org/abs/1907.04755
Autor:
Hertz, Jana Rodriguez, Ures, Raúl
We show that certain types of the three-legged accessibility property of a partially hyperbolic diffeomorphism imply the existence of a unique minimal set for one strong foliation and the transitivity of the other one. In case the center dimension is
Externí odkaz:
http://arxiv.org/abs/1805.03848
Akademický článek
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Autor:
Ures, Raúl, Vásquez, Carlos H.
It is well-known that it is possible to construct a partially hyperbolic diffeomorphism on the 3-torus in a similar way than in Kan's example. It has two hyperbolic physical measures with intermingled basins supported on two embedded tori with Anosov
Externí odkaz:
http://arxiv.org/abs/1503.07155