24 citations · 68 across the 24 of their papers we have counts for
27 papers
An elegant model of the geodesic flow on the modular surface
Pierre Arnoux, Thomas A. Schmidt
Caroline Series' [{\em The modular surface and continued fractions}, J. Lond. Math. Soc. (2), {\bf 31}, no.~1, (1985), 69--80] gives a clear framework linking, in a deceptively sim…
First return systems for some continued fraction maps
Thomas A. Schmidt
We prove a conjecture of Calta, Kraaikamp and the author: For all , each member of their one-parameter family of interval maps, denoted , has its `first expansiv…
Distinctness of two pseudo-Anosov maps
Thomas A. Schmidt, Mesa Walker
In 1981, Arnoux and Yoccoz gave the first examples of pseudo-Anosov maps with odd degree stretch factors. In 1985, D.~Fried deduced the existence of a pseudo-Anosov map in genus th…
Continuous deformation of the Bowen-Series map associated to a cocompact triangle group
Thomas A. Schmidt, Ayşe Yıltekin-Karataş
In 1979, for each signature for Fuchsian groups of the first kind, Bowen and Series constructed an explicit fundamental domain for one group of the signature, and from this a funct…
Continuity of entropy for all -deformations of an infinite class of continued fraction transformations
Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt
We extend the results of our 2020 paper in the Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. There, we associated to each of an infinite family of triangle Fuch…
Proofs of ergodicity of piecewise Möbius interval maps using planar extensions
Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt
We give two results for deducing dynamical properties of piecewise Möbius interval maps from their related planar extensions. First, eventual expansivity and the existence of an er…