Results 261 to 270 of about 7,457,680 (317)

Dimension of exceptional sets

2000
Abstract A basic feature of many results in Diophantine approximation and about onedimensional continued fractions is the fact that a certain property is either true for almost all points x or false for almost all points x. Clearly, the fact that mod 1 is an ergodic transformation with respect to Lebesgue measure is related to many ...
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Exceptional Sets in Hartogs Domains

Canadian Mathematical Bulletin, 2005
AbstractAssume that Ω is a Hartogs domain in ℂ1+n, defined as Ω = ﹛(z, w) ∈ ℂ1+n : |z| < μ(w), w ∈ H﹜, where H is an open set in ℂn and μ is a continuous function with positive values in H such that –ln μ is a strongly plurisubharmonic function in H. Let Ωw = Ω ∩ (ℂ × ﹛w﹜).
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On clusters and exceptional sets

Journal of Algebra and Its Applications
In this paper, we first study clusters in type [Formula: see text] by collecting them into a finite number of infinite families given by Dehn twists of their corresponding triangulations, and show that these families are counted by the Catalan numbers.
Kiyoshi Igusa, Ray Maresca
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Exceptional Sets in Harmonic Analysis

1992
“Exceptional” (or “thin”) sets are often encountered in works on harmonic analysis. Many deep investigations are devoted to them and many outstanding unsolved problems are connected with them. So also the division “Commutative Harmonic Analysis” of this series has not been able to do without an article especially devoted to them.
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Hausdorff dimension of exceptional sets

1998
Abstract Non-normal numbers. Exceptional sets in uniform distribution. The Besicovitch-Jarnik theorem. Generalizations with applications to the Duffin-Schaeffer problem and a two-variable problem. An exceptional set from Chapter 8. Until now we have concerned ourselves only with what is true for almost all numbers.
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On the exceptional sets in Sylvester expansions*

Lithuanian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Slim Exceptional Sets for Sums of Cubes

Canadian Journal of Mathematics, 2002
AbstractWe investigate exceptional sets associated with various additive problems involving sums of cubes. By developing a method wherein an exponential sum over the set of exceptions is employed explicitly within the Hardy-Littlewood method, we are better able to exploit excess variables. By way of illustration, we show that the number of odd integers
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Exceptional topology of non-Hermitian systems

Reviews of Modern Physics, 2021
Emil J Bergholtz, Jan Carl Budich, Flore K Kunst   +2 more
exaly  

A Lang Exceptional Set for Integral Points

, 2015
Paul Vojta
semanticscholar   +1 more source

The exceptional set for sums of unlike powers of primes

, 2014
Lilu Zhao
semanticscholar   +1 more source