Irrationality exponent, Hausdorff dimension and effectivization
نویسندگان
چکیده
منابع مشابه
Historic set carries full hausdorff dimension
We prove that the historic set for ratio of Birkhoff average is either empty or full of Hausdorff dimension in a class of one dimensional non-uniformly hyperbolic dynamical systems.
متن کاملHausdorff dimension and oracle constructions
Bennett and Gill (1981) proved that P 6= NP relative to a random oracle A, or in other words, that the set O[P=NP] = {A | P = NP} has Lebesgue measure 0. In contrast, we show that O[P=NP] has Hausdorff dimension 1. This follows from a much more general theorem: if there is a relativizable and paddable oracle construction for a complexity-theoretic statement Φ, then the set of oracles relative t...
متن کاملExtremal Manifolds and Hausdorff Dimension
The best possible lower bound for the Hausdorff dimension of the set of v-approximable points on a C extremal manifold is obtained.
متن کاملHausdorff dimension and Diophantine approximation
In the present survey paper, we explain how the theory of Hausdorff dimension and Hausdorff measure is used to answer certain questions in Diophantine approximation. The final section is devoted to a discussion around the Diophantine properties of the points lying in the middle third Cantor set.
متن کاملHausdorff Dimension and Asymptotic Cycles
We carry out a multifractal analysis for the asymptotic cycles for compact Riemman surfaces of genus g ≥ 2. This describes the set of unit tangent vectors for which the associated orbit has a given asymptotic cycle in homology.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2017
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-017-1094-2