Substitutions and 1/2-Discrepancy of $\{n \theta + x\}$ \rm{II}
Dynamical Systems
2011-06-01 v1 Number Theory
Abstract
Ergodic properties of a renormalization procedure for studying the 1/2-discrepancy sums driven by rotations are studied, with corresponding implications for almost-sure bounds on the growth rates for these discrepancy sums.
Keywords
Cite
@article{arxiv.1105.6301,
title = {Substitutions and 1/2-Discrepancy of $\{n \theta + x\}$ \rm{II}},
author = {David Ralston},
journal= {arXiv preprint arXiv:1105.6301},
year = {2011}
}
Comments
in review