Zobrazeno 1 - 10
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pro vyhledávání: '"Díaz, L. J."'
For an open and dense subset of elliptic ${\rm SL}(2,\mathbb R)$ matrix cocycles, we construct a family of loosely Bernoulli ergodic measures with zero top Lyapunov exponent. This provides a counterpart to a classical result by Furstenberg. The const
Externí odkaz:
http://arxiv.org/abs/2311.09351
We consider skew-products with concave interval fiber maps over a certain subshift obtained as the projection of orbits staying in a given region. It generates a new type of (essentially) coded shift. The fiber maps have expanding and contracting reg
Externí odkaz:
http://arxiv.org/abs/2004.06742
We study transitive step skew-product maps modeled over a complete shift of $k$, $k\ge2$, symbols whose fiber maps are defined on the circle and have intermingled contracting and expanding regions. These dynamics are genuinely nonhyperbolic and exhib
Externí odkaz:
http://arxiv.org/abs/1602.06845
Akademický článek
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We study phase transitions for the topological pressure of geometric potentials of transitive sets. The sets considered are partially hyperbolic having a step skew product dynamics over a horseshoe with one-dimensional fibers corresponding to the cen
Externí odkaz:
http://arxiv.org/abs/1303.0581
Publikováno v:
Communications in Mathematical Physics. Aug2022, Vol. 394 Issue 1, p73-141. 69p.
Autor:
Díaz, L. J., Gelfert, K.
We study a partially hyperbolic and topologically transitive local diffeomorphism $F$ that is a skew-product over a horseshoe map. This system is derived from a homoclinic class and contains infinitely many hyperbolic periodic points of different ind
Externí odkaz:
http://arxiv.org/abs/1011.6294
Conditions are provided under which lack of domination of a homoclinic class yields robust heterodimensional cycles. Moreover, so-called viral homoclinic classes are studied. Viral classes have the property of generating copies of themselves producin
Externí odkaz:
http://arxiv.org/abs/1011.2935
Autor:
Bonatti, C., Diaz, L. J.
A diffeomorphism $f$ has a $C^1$-robust homoclinic tangency if there is a $C^1$-neighbourhood $\cU$ of $f$ such that every diffeomorphism in $g\in \cU$ has a hyperbolic set $\La_g$, depending continuously on $g$, such that the stable and unstable man
Externí odkaz:
http://arxiv.org/abs/0909.4062
We prove that there is a residual subset $\mathcal{S}$ in $\text{Diff}^1(M)$ such that, for every $f\in \mathcal{S}$, any homoclinic class of $f$ with invariant one dimensional central bundle containing saddles of different indices (i.e. with differe
Externí odkaz:
http://arxiv.org/abs/0908.4293