Results 11 to 20 of about 7,457,680 (317)
Wiman's type inequality for analytic and entire functions and $h$-measure of an exceptional sets
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathcal{E}_R$ be the class of analytic functions $f$ represented by power series of the form $f(z)=\sum\limits\limits_{n=0}^{+\infty}a_n z^n$ with the radius of convergence $R:=R(f)\in(0;+\infty].$ For $r\in [0, R)$ we denote the maximum modulus by
O.B. Skaskiv, A.O. Kuryliak
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Structure of the set of Borel exceptional vectors for entire curves. II
Математичні Студії, 2021 We have obtained a description of structure of the sets of Picard and Borel exceptional vectors for transcendental entire curve in some sense. We consider only $p$-dimensional entire curves with linearly independent components without common zeros.
A.I. Bandura, Ya.I. Savchuk
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On exceptional sets in Manin’s conjecture [PDF]
Research in the Mathematical Sciences, 2018 In this survey paper we study Manin's Conjecture from a geometric perspective. The focus of the paper is the recent conjectural description of the exceptional set in Manin's Conjecture due to Lehmann-Sengupta-Tanimoto. After giving an extensive background, we give a precise description of this set and compute it in many examples.
Brian Lehmann, Sho Tanimoto
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Hausdorff dimension of an exceptional set in the theory of continued fractions
Nonlinearity, 2020 In this article we calculate the Hausdorff dimension of the setF(Φ)=x∈[0,1):an+1(x)an(x)⩾Φ(n)for infinitely many n∈Nandan+1(x)
Ayreena Bakhtawar +2 more
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The detection and effect of social events on Wikipedia data-set for studying human preferences
Frontiers in Big Data, 2023 Several studies have used Wikipedia (WP) data-set to analyse worldwide human preferences by languages. However, those studies could suffer from bias related to exceptional social circumstances.
Julien Assuied +2 more
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A sharp exceptional set estimate for visibility [PDF]
, 2016 A Borel set B⊂Rn is visible from x∈Rn , if the radial projection of B with base point x has positive Hn−1 measure. I prove that if dimB>n−1 , then B is visible from every point x∈Rn∖E , where E is an exceptional set with dimension dimE⩽2(n−1)−dimB . This
Tuomas Orponen
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On the Exceptional Set for Absolute Continuity of Bernoulli Convolutions [PDF]
, 2013 We prove that the set of exceptional $${\lambda\in (1/2,1)}$$λ∈(1/2,1) such that the associated Bernoulli convolution is singular has zero Hausdorff dimension, and likewise for biased Bernoulli convolutions, with the exceptional set independent of the ...
Pablo Shmerkin
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Homogeneous Plane-wave Spacetimes and their Stability [PDF]
, 2003 We consider the stability of spatially homogeneous plane-wave spacetimes. We carry out a full analysis for plane-wave spacetimes in (4+1) dimensions, and find there are two cases to consider; what we call non-exceptional and exceptional.
Barrow J D +24 more
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Exceptional Sets for Nonuniformly Hyperbolic Diffeomorphisms [PDF]
Journal of Dynamics and Differential Equations, 2018 For a surface diffeomorphism, a compact invariant locally maximal set $W$ and some subset $A\subset W$ we study the $A$-exceptional set, that is, the set of points whose orbits do not accumulate at $A$. We show that if the Hausdorff dimension of $A$ is smaller than the Hausdorff dimension $d$ of some ergodic hyperbolic measure, then the topological ...
Sara Campos, Katrin Gelfert
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Investigative judge orders affecting the bodily freedom of the accused in Algerian law [PDF]
مجلة الاجتهاد للدراسات القانونية والاقتصادية, 2022 : The rights of the accused during the preliminary investigation stage are among the important procedural issues at the present time، because the basic principle in the human being is innocence، which is a principle enshrined in the constitution، in ...
محي الدين علي +1 more
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