Mixing and tight polyhedra

Details Mixing and tight polyhedra Mixing and tight polyhedra

2005-03-24

arxiv.org/abs/math/0503569v2

IMS Lecture Notes--Monograph Series 2006, Vol. 48, 169-175

Mathematics

Dynamical Systems

Published at http://dx.doi.org/10.1214/074921706000000194 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000194

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.

Affiliated with

Also associated with

No associations

Rating

Mixing and tight polyhedra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mixing and tight polyhedra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixing and tight polyhedra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-29489