Geodesic laminations as geometric realizations of Pisot substitutions

DOI10.1017/S0143385700000675zbMath0963.37013OpenAlexW2154315159MaRDI QIDQ4514502

Victor F. Sirvent

Publication date: 8 July 2001

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

Full work available at URL: https://doi.org/10.1017/s0143385700000675

zbMATH Keywords

shiftPisot substitutionsgeodesics of the hyperbolic diskinterval exchange map on the circle

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (9)

Dynamical directions in numeration ⋮ Pure discrete spectrum dynamical system and periodic tiling associated with a substitution ⋮ Space-filling curves and geodesic laminations. II: Symmetries ⋮ Space filling curves and geodesic laminations ⋮ Relationships between the dynamical systems associated to the Rauzy substitutions ⋮ Geometrical Models for Substitutions ⋮ The Arnoux semi-conjugacy is Hölder continuous ⋮ Self-similar sets satisfying the common point property ⋮ Semigroups and the self-similar structure of the flipped Tribonacci substitution

This page was built for publication: Geodesic laminations as geometric realizations of Pisot substitutions