Tilings, fundamental cocycles and fundamental groups of symbolic ${\Bbb Z}^{d}$-actions

DOI10.1017/S0143385798118060zbMath0915.58030OpenAlexW1971679749MaRDI QIDQ4236013

Klaus Schmidt

Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798118060

zbMATH Keywords

tiling groupscontinuous 1-cocyclefundamental 1-cocycleprojective fundamental groupsrepresentations of the shift spacetopologically mixing two-dimensional shifts

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items (10)

On continuous orbit equivalence rigidity for virtually cyclic group actions ⋮ Mixing properties for hom-shifts and the distance between walks on associated graphs ⋮ Direct topological factorization for topological flows ⋮ Four-cycle free graphs, height functions, the pivot property and entropy minimality ⋮ Markov random fields, Markov cocycles and the 3-colored chessboard ⋮ Continuous orbit equivalence rigidity ⋮ Pattern-equivariant cohomology with integer coefficients ⋮ Strong cocycle triviality for \(Z^{2}\) subshifts ⋮ An integral representation for topological pressure in terms of conditional probabilities ⋮ Ribbon tilings and multidimensional height functions

This page was built for publication: Tilings, fundamental cocycles and fundamental groups of symbolic ${\Bbb Z}^{d}$-actions