Bijective and general arithmetic codings for Pisot toral automorphisms
From MaRDI portal
Publication:1868374
DOI10.1023/A:1013104016392zbMath1134.37313arXivmath/0006159MaRDI QIDQ1868374
Nikolay Aleksandrovich Sidorov
Publication date: 27 April 2003
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0006159
Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (13)
Representations of toral automorphisms ⋮ Dynamical directions in numeration ⋮ Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts ⋮ The baker’s map with a convex hole ⋮ Self-duality and codings for expansive automorphisms ⋮ Solvable and algebraic systems on infinite ladder ⋮ Purity results for some arithmetically defined measures ⋮ The Pisot conjecture for -substitutions ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Symbolic Representations and ${\mathbb T}^n$ Automorphisms ⋮ Open maps: small and large holes with unusual properties ⋮ A certain finiteness property of Pisot number systems ⋮ Symbolic representations of nonexpansive group automorphisms
This page was built for publication: Bijective and general arithmetic codings for Pisot toral automorphisms
