17 citations · 25 across the 9 of their papers we have counts for
10 papers
Affine Equivalence of Subsets of via Venn Diagrams and Applications to Sidon Sets
Kariane Calta, Sarah Covey, Timothy E. Goldberg +2
Two subsets and of are \textit{affinely equivalent} if there is an affine automorphism of taking to . Given a basis of the affine s…
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…
Determinantal Conditions for Modules of Generalized Splines
Lauren L. Rose, Kariane Calta
Generalized splines on a graph with edge labels in a commutative ring are vertex labelings such that if two vertices share an edge in , the difference between the vertex…
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…