17 citations · 25 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
Synchronization is full measure for all -deformations of an infinite class of continued fraction transformations
Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt
We study an infinite family of one-parameter deformations, so-called -continued fractions, of interval maps associated to distinct triangle Fuchsian groups. In general for such…
Infinitely many lattice surfaces with special pseudo-Anosov maps
Kariane Calta, Thomas A. Schmidt
We give explicit pseudo-Anosov homeomorphisms with vanishing Sah-Arnoux-Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of trian…
Algebraically periodic translation surfaces
Kariane Calta, John Smillie
Algebraically periodic directions on translation surfaces were introduced by Calta in her study of genus two translation surfaces. We say that a translation surface with three or m…
On unipotent flows in H(1,1)
Kariane Calta, Kevin Wortman
We study the action of the horocycle flow on the moduli space of abelian differentials in genus two. In particular, we exhibit a classification of a specific class of probability m…