The gauss map on a class of interval translation mappings
Copyright policy )The gauss map on a class of interval translation mappings
We study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transformation) and that the complement contains a Cantor set. We relate our maps to substitution subshifts. Results on Hausdorff dimension of the attractor and on unique ergodicity are obtained.
- Centre de Physique Théorique France
- University of Groningen Netherlands
DYNAMICS, 37E05; 37B10, 37B10, EXCHANGE TRANSFORMATIONS, Ergodicity, mixing, rates of mixing, FOS: Mathematics, Dynamical systems involving maps of the circle, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37E05, Topological dynamics
DYNAMICS, 37E05; 37B10, 37B10, EXCHANGE TRANSFORMATIONS, Ergodicity, mixing, rates of mixing, FOS: Mathematics, Dynamical systems involving maps of the circle, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37E05, Topological dynamics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).26 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!