Mixing, wine, and serendipity
Dynamical Systems
2020-12-01 v1 Number Theory
Abstract
Mixing for measure-preserving group actions is a fundamental notion in ergodic theory, with different phenomena arising for different acting groups. In 1993, Klaus Schmidt and Tom Ward proved that 2-mixing implies mixing of all orders for actions by commuting automorphisms of connected groups. Tom Ward explains how he became interested in this problem, and describes how a chance encounter with a paper on a seemingly unrelated problem in number theory played a key role.
Keywords
Cite
@article{arxiv.1808.04629,
title = {Mixing, wine, and serendipity},
author = {Thomas Ward},
journal= {arXiv preprint arXiv:1808.04629},
year = {2020}
}