You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
A Hot Spot Proof of the Generalized Wall Theorem
Contributor:
Bergelson, Vitaly;
Vandehey, Joseph
Published:
Taylor & Francis, Ltd., 2019
Published in:
The American Mathematical Monthly, 126 (2019) 10, Seite 876-890
Language:
English
ISSN:
0002-9890;
1930-0972
Origination:
Footnote:
Description:
<p>If a sequence of numbers behaves like a random sequence, do we expect subsequences to also behave like a random sequence? Wall proved that normality of a base-b expansion is preserved along arithmetic progressions. What makes arithmetic progressions special is that they are deterministic sequences, a type of low-complexity sequence. We give a self-contained proof that selection along deterministic sequences preserves normality and provide several interesting examples of nontrivial deterministic sequences.</p>