4 citations · 4 across the 4 of their papers we have counts for
4 papers
Substitutional dynamical systems, Bratteli diagrams and dimension groups
Fabien Durand, Bernard Host, Christian Skau
The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithm…
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems
Maria Isabel Cortez, Fabien Durand, Bernard Host +1
The class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitution subshifts and odometers measure--theoretical and continuous…
Uniformity seminorms on and applications
Bryna Kra, Bernard Host
A key tool in recent advances in understanding arithmetic progressions and other patterns in subsets of the integers is certain norms or seminorms. One example is the norms on $\Z/…
Analysis of two step nilsequences
Bernard Host, Bryna Kra
Nilsequences arose in the study of the multiple ergodic averages associated to Furstenberg's proof of Szemerédi's Theorem and have since played a role in problems in additive combi…