Bratteli-Vershik models for Cantor minimal systems associated to interval exchange transformations

DOI10.7146/math.scand.a-14363zbMath1019.37006OpenAlexW119827382MaRDI QIDQ4415547

Ø. Johansen, Richard Gjerde

Publication date: 6 August 2003

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14363

zbMATH Keywords

Cantor setminimalityhomeomorphisminterval exchange transformationBratteli diagram

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (15)

Symbolic factors of -adic subshifts of finite alphabet rank ⋮ Infinite type flat surface models of ergodic systems ⋮ Self-induced systems ⋮ On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts ⋮ On topological rank of factors of Cantor minimal systems ⋮ Rotated odometers ⋮ Actions of finite rank: weak rational ergodicity and partial rigidity ⋮ Limit theorems for translation flows ⋮ Eigenvalues of minimal Cantor systems ⋮ On the eigenvalues of finite rank Bratteli–Vershik dynamical systems ⋮ Persistence of wandering intervals in self-similar affine interval exchange transformations ⋮ Hölder regularity for the spectrum of translation flows ⋮ Complexity of nilsystems and systems lacking nilfactors ⋮ Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph ⋮ Finite rank Bratteli diagrams: Structure of invariant measures

This page was built for publication: Bratteli-Vershik models for Cantor minimal systems associated to interval exchange transformations