Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Palis, Jacob"'
Autor:
Moreira, Carlos Gustavo, Palis, Jacob
We briefly describe our works in collaboration with Jean-Christophe Yoccoz, a great mathematician and friend, with special emphasis on those related to Homoclinic Bifurcations and Fractal Geometry. We also tell some related personal stories.
Com
Com
Externí odkaz:
http://arxiv.org/abs/1712.09451
We show that the non-uniformly hyperbolic horseshoes of Palis and Yoccoz occur in the standard family of area-preserving diffeomorphisms of the two-torus for a set of (large) parameters of positive Lebesgue measure.
Externí odkaz:
http://arxiv.org/abs/1712.06656
We show that the stable and unstable sets of non-uniformly hyperbolic horseshoes arising in some heteroclinic bifurcations of surface diffeomorphisms have the value conjectured in a previous work by the second and third authors of the present paper.
Externí odkaz:
http://arxiv.org/abs/1712.06629
Autor:
Matheus, Carlos, Palis, Jacob
We show that the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes is strictly smaller than two.
Comment: 22 pages, 5 figures. Final version based on the referee's report. To appear in Discrete Contin. Dyn. Syst
Comment: 22 pages, 5 figures. Final version based on the referee's report. To appear in Discrete Contin. Dyn. Syst
Externí odkaz:
http://arxiv.org/abs/1701.01288
We consider piecewise $C^2$ non-flat maps of the interval and show that, for Lebesgue almost every point, its omega-limit set is either a periodic orbit, a cycle of intervals or the closure of the orbits of a subset of the critical points. In particu
Externí odkaz:
http://arxiv.org/abs/1506.00276
Since the proof, at the end of the 80's, of the finiteness of the number of attractors for $C^3$ maps of the interval having negative Schwarzian derivative, it has been generally considered that the same result could be true for maps with discontinui
Externí odkaz:
http://arxiv.org/abs/1401.0232
Publikováno v:
In Comptes rendus - Mathématique February 2018 356(2):146-149
