Measurable tilings by abelian group actions QA7EPHDTV2

URI	`m2://res/QA7EPHDTV2`
Kind	preprint
Creators	Jan Grebík, Rachel Greenfeld, Václav Rozhoň, Terence Tao
Date	2022-03-03
MSC	37-XX, 26-XX, 05-XX, 51-XX, 52-XX
Subjects	arxiv math.DS, arxiv math.CA, arxiv math.CO, arxiv math.MG
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Structure of tilings of $\Z^d$	statement	theorem 1.1	arxiv
Factor of iid	definition	definition 1.3	arxiv
Measurable tilings of a torus	statement	theorem 1.7	arxiv
Tiles admitting a factor of iid tiling	statement	theorem 1.5	arxiv
8Q7TAYK51H	statement	lemma A.3	arxiv
Initial properties	statement	lemma 5.1	arxiv
All shifts are parallel	statement	proposition 5.4	arxiv
C27FJRDE8M	example	example 1.4	arxiv
One dimension	example	example 1.8	arxiv
Three dimensions	example	example 1.11	arxiv
Connected tilings of intervals	statement	lemma 5.6	arxiv
Two dimensions, connected	example	example 1.10	arxiv
Structure of abelian measurable tilings	statement	theorem 1.2	arxiv
T8G2NJ97EE	statement	proposition A.1	arxiv
Existence of measurable medial mean	statement	proposition A.2	arxiv
Two dimensions, disconnected	example	example 1.9	arxiv