Mixing and tight polyhedra
| dc.creator | Ward, Thomas | |
| dc.date | 2005-03-24 | |
| dc.date | 2006-08-11 | |
| dc.date.accessioned | 2026-07-07T06:39:39Z | |
| dc.date.available | 2026-07-07T06:39:39Z | |
| dc.description | Actions of $\mathbb{Z}^d$ by automorphisms of compact zero-dimensional groups exhibit a range of mixing behaviour. Schmidt introduced the notion of mixing shapes for these systems, and proved that non-mixing shapes can only arise non-trivially for actions on zero-dimensional groups. Masser has shown that the failure of higher-order mixing is always witnessed by non-mixing shapes. Here we show how valuations can be used to understand the (non-)mixing behaviour of a certain family of examples. The sharpest information arises for systems corresponding to tight polyhedra. | |
| dc.description | Published at http://dx.doi.org/10.1214/074921706000000194 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0503569 | |
| dc.identifier | http://arxiv.org/abs/math/0503569 | |
| dc.identifier | IMS Lecture Notes--Monograph Series 2006, Vol. 48, 169-175 | |
| dc.identifier | doi:10.1214/074921706000000194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101156 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 22D40, 22D40 (Primary) 52B11 (Secondary) | |
| dc.title | Mixing and tight polyhedra | |
| dc.type | text |