We study discrepancy with arbitrary weights in the L norm over the d dimensional unit cube
The Komlós conjecture in discrepancy theory asks for a ±1-coloring, for any given unit vectors, ac...
<p>Exponents describing the fractal dimensionality for each of the ratios employed in Experiments 1,...
In this paper, we compare some deterministic and probabilistic techniques in the study of upper boun...
Let P ae [0; 1] d be an n-point set and let w : P ! [0; 1) be a weight function with w(P ) = P ...
AbstractLetP⊂[0,1]dbe ann-point set and letw:P→[0,∞) be a weight function withw(P)=∑z∈Pw(z)=1. TheL2...
Let 3[0,1]NA be a set of cardinality N. Define the Discrepancy Function associated to NA as follow...
AbstractThe L2-discrepancy measures the irregularity of the distribution of a finite point set. In t...
AbstractK. F. Roth (1964, Acta. Arith.9, 257–260) proved that the discrepancy of arithmetic progress...
The discrepancy | t P ∩ Z^d | - lambda (P) t^d is studied as a function of the real variable t>1, wh...
We introduce discrepancy values, quantities inspired by the notion of the spectral spread of Hermiti...
Abstact. We prove a general metrical result, which contains as a special case a discrepancy estimate...
AbstractLet N be a natural number and α be a real number. Let {x} be the fractional part of the real...
Quite recently Sloan and Woźniakowski [4] introduced a new notion of dis-crepancy, the so called we...
Master of ScienceDepartment of MathematicsCraig SpencerThis paper introduces the basic elements of g...
AbstractQuite recently Sloan and Woźniakowski (J. Complexity 14 (1998) 1) introduced a new notion of...
The Komlós conjecture in discrepancy theory asks for a ±1-coloring, for any given unit vectors, ac...
<p>Exponents describing the fractal dimensionality for each of the ratios employed in Experiments 1,...
In this paper, we compare some deterministic and probabilistic techniques in the study of upper boun...
Let P ae [0; 1] d be an n-point set and let w : P ! [0; 1) be a weight function with w(P ) = P ...
AbstractLetP⊂[0,1]dbe ann-point set and letw:P→[0,∞) be a weight function withw(P)=∑z∈Pw(z)=1. TheL2...
Let 3[0,1]NA be a set of cardinality N. Define the Discrepancy Function associated to NA as follow...
AbstractThe L2-discrepancy measures the irregularity of the distribution of a finite point set. In t...
AbstractK. F. Roth (1964, Acta. Arith.9, 257–260) proved that the discrepancy of arithmetic progress...
The discrepancy | t P ∩ Z^d | - lambda (P) t^d is studied as a function of the real variable t>1, wh...
We introduce discrepancy values, quantities inspired by the notion of the spectral spread of Hermiti...
Abstact. We prove a general metrical result, which contains as a special case a discrepancy estimate...
AbstractLet N be a natural number and α be a real number. Let {x} be the fractional part of the real...
Quite recently Sloan and Woźniakowski [4] introduced a new notion of dis-crepancy, the so called we...
Master of ScienceDepartment of MathematicsCraig SpencerThis paper introduces the basic elements of g...
AbstractQuite recently Sloan and Woźniakowski (J. Complexity 14 (1998) 1) introduced a new notion of...
The Komlós conjecture in discrepancy theory asks for a ±1-coloring, for any given unit vectors, ac...
<p>Exponents describing the fractal dimensionality for each of the ratios employed in Experiments 1,...
In this paper, we compare some deterministic and probabilistic techniques in the study of upper boun...
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