Uniform Distribution and Diophantine Inequalities.
Uniform Distribution and the Mean Ergodic Theorem.
Uniform distribution in locally compact groups.
Uniform distribution modulo one and binary search trees
Any sequence of distinct numbers from [0,1] generates a binary tree by storing the numbers consecutively at the nodes according to a left-right algorithm (or equivalently by sorting the numbers according to the Quicksort algorithm). Let be the height of the tree generated by ObviouslyIf the sequences are generated by independent random variables having the uniform distribution on [0, 1], then it is well known that there exists > such that as for almost all sequences . Recently...
Uniform distribution of generalized polynomials of the product type
Uniform distribution preserving mappings
Uniform distrubution, positive trigonometric polynomials and difference sets
Uniformly distributed sequences mod 1 and Cantor's series representation
Uniformly distributed sequences of positive integers in Baire's space
Uniformly Maldistributed Sequences in a Strict Sense.
Van der Corput sets in
In this partly expository paper we study van der Corput sets in , with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical systems. We prove multidimensional versions of some classical results obtained for d = 1 by Kamae and M. Mendès France and by Ruzsa, establish new characterizations, introduce and discuss some modifications of van der Corput sets which correspond to various notions of recurrence, provide numerous examples and formulate some...
Weak convergence of monotone functions and Weyl's criterion
Weak multipliers for generalized van der Corput sequences
Generalized van der Corput sequences are onedimensional, infinite sequences in the unit interval. They are generated from permutations in integer base and are the building blocks of the multi-dimensional Halton sequences. Motivated by recent progress of Atanassov on the uniform distribution behavior of Halton sequences, we study, among others, permutations of the form for coprime integers and . We show that multipliers that either divide or generate van der Corput sequences with weak...
Weak Uniform Distribution of un+1 =aun + b in Dedekind Domains.
Weierstraßscher Approximationssatz und Gleichverteilung.
Zu einigen Fragen der Gleichverteilung (mod 1)
Zur Diskrepanz bezüglich gewichteter Mittel.
Zur Konvergenz der Ln-Diskrepanz gegen die extreme Diskrepanz.
Zur Metrik der Diskrepanz.
Zur quantitativen Theorie der Gleichverteilung.