Title
Measurable events indexed by words.
Abstract
For every integer k⩾2 let [k]<N be the set of all words over k. A Carlson–Simpson tree of [k]<N of dimension m⩾1 is a subset of [k]<N of the form{w}∪{w⌢w0(a0)⌢…⌢wn(an):n∈{0,…,m−1}and a0,…,an∈[k]} where w is a word over k and (wn)n=0m−1 is a finite sequence of left variable words over k. We study the behavior of a family of measurable events in a probability space indexed by the elements of a Carlson–Simpson tree of sufficiently large dimension. Specifically we show the following.
Year
DOI
Venue
2014
10.1016/j.jcta.2014.06.003
Journal of Combinatorial Theory, Series A
Keywords
Field
DocType
Words,Carlson–Simpson trees,Independence
Integer,Discrete mathematics,Combinatorics,Finite sequence,Probability space,Measure (mathematics),Omega,Partition (number theory),Mathematics
Journal
Volume
Issue
ISSN
127
127
0097-3165
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Pandelis Dodos152.33
V. Kanellopoulos272.66
Konstantinos Tyros362.63