Zobrazeno 1 - 10
of 17 454
pro vyhledávání: '"Mathematics::Dynamical Systems"'
Autor:
Zouhair Ouaggag
Publikováno v:
Journal of Number Theory. 249:183-208
We prove an effective estimate for the counting function of Diophantine approximants on the sphere S$^n$. We use homogeneous dynamics on the space of orthogonal lattices, in particular effective equidistribution results and non-divergence estimates f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0a7b27d0d8216240b36d09dea74c70e
https://doi.org/10.1016/j.jnt.2023.02.015
https://doi.org/10.1016/j.jnt.2023.02.015
Autor:
Vitor Araujo
Publikováno v:
Journal of Differential Equations. 354:373-402
It is known that sectional-hyperbolic attracting sets, for a $C^2$ flow on a finite dimensional compact manifold, have at most finitely many ergodic physical invariant probability measures. We prove an upper bound for the number of distinct ergodic p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20d6e8b53a75614b5f7c092d48532f7e
https://doi.org/10.1016/j.jde.2023.02.008
https://doi.org/10.1016/j.jde.2023.02.008
Publikováno v:
Nonlinearity. 36:2867-2893
We present an algorithm for a rigorous computation of lower bounds on the Hausdorff dimensions of Julia sets for a wide class of holomorphic maps. We apply this algorithm to obtain lower bounds on the Hausdorff dimension of the Julia sets of some inf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96bf374f351a4a681e5e16305bf48fa5
https://doi.org/10.1088/1361-6544/acc71b
https://doi.org/10.1088/1361-6544/acc71b
Autor:
Konno, Hokuto, Nakamura, Nobuhiro
Publikováno v:
Algebraic & Geometric Topology. 23:419-438
Using the Seiberg-Witten monopole equations, Baraglia recently proved that for most of simply-connected closed smooth $4$-manifolds $X$, the inclusions $\mathrm{Diff}(X) \hookrightarrow \mathrm{Homeo}(X)$ are not weak homotopy equivalences. In this p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f3b6dd17392d49c5964049907866c74
https://doi.org/10.2140/agt.2023.23.419
https://doi.org/10.2140/agt.2023.23.419
Autor:
Katz, Asaf
Publikováno v:
Geometric and Functional Analysis. 33:468-540
Using the factorization method, a method pioneered by Eskin and Mirzakhani in their groundbreaking work about measure classification over the moduli space of translation surfaces, we show that generalized $u$-Gibbs states over quantitatively non-inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b3e8dd58934e01f537d1439c702c947
https://doi.org/10.1007/s00039-023-00629-8
https://doi.org/10.1007/s00039-023-00629-8
Autor:
Berger, Pierre
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 10:525-547
We show the coexistence of chaotic behaviors (positive metric entropy) and elliptic behaviors (intregrable KAM island) among analytic, symplectic diffeomorphism of any closed surface. In particilar this solves a problem by F. Przytycki (1982). Theore
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53900c49a61a4a9118100082bdc469c3
https://doi.org/10.5802/jep.224
https://doi.org/10.5802/jep.224
Autor:
Mohammadi, Amir, Oh, Hee
Publikováno v:
Compositio Mathematica. 159:488-529
We present a quantitative isolation property of the lifts of properly immersed geodesic planes in the frame bundle of a geometrically finite hyperbolic $3$-manifold. Our estimates are polynomials in the tight areas and Bowen-Margulis-Sullivan densiti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::465fbf30e059cf59b9444ddcfb0573fa
https://doi.org/10.1112/s0010437x22007928
https://doi.org/10.1112/s0010437x22007928
Publikováno v:
Nonlinearity. 36:1776-1788
As a model to provide a hands-on, elementary understanding of "vortex dynamics", we introduce a piecewise linear non-invertible map called a twisted baker map. We show that the set of hyperbolic repelling periodic points with complex conjugate eigenv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e82a90617e474d0dc399dfa53add60fa
https://doi.org/10.1088/1361-6544/acb4d3
https://doi.org/10.1088/1361-6544/acb4d3
Publikováno v:
Groups, Geometry, and Dynamics. 17:315-329
Let $\Gamma$ be an irreducible lattice in a product of two locally compact groups and assume that $\Gamma$ is densely embedded in a profinite group $K$. We give necessary conditions which imply that the left translation action $\Gamma\curvearrowright
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7285afa44efd6351c469a9647f4564f6
https://doi.org/10.4171/ggd/700
https://doi.org/10.4171/ggd/700
Autor:
Bruin, H., Lukina, O.
Publikováno v:
Fundamenta Mathematicae, 260, 233-249. Institute of Mathematics, Polish Academy of Sciences
A rotated odometer is an infinite interval exchange transformation (IET) obtained as a composition of the von Neumann-Kakutani map and a finite IET of intervals of equal length. In this paper, we consider rotated odometers for which the finite IET is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a567d84c5f9d3a0d71ad2bb7d228b9f0
https://doi.org/10.4064/fm74-10-2022
https://doi.org/10.4064/fm74-10-2022