The Limit Points of Weyl Sums and Other Continuous Cocycles

Abstract

This paper examines the limit points of continuous Z-cocycles defined on a minimal dynamical system and taking values in an abelian metrisable group. This is motivated by and applied to the study of classical exponential series X^-i^"'" 6+nx) t 0 show, in particular, that if 0 is a transcendental number with liminfe^ ||^|| < oo, then for each x chosen from… (More)

Topics

Cite this paper

@inproceedings{Forrest2006TheLP, title={The Limit Points of Weyl Sums and Other Continuous Cocycles}, author={Alexandra Forrest}, year={2006} }