24 citations · 68 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
Distribution of approximants and geodesic flows
Albert M. Fisher, Thomas A. Schmidt
We give a new proof of Moeckel's result that for any finite index subgroup of the modular group, almost every real number has its regular continued fraction approximants equidistri…
Cross sections for geodesic flows and α-continued fractions
Pierre Arnoux, Thomas A. Schmidt
We adjust Arnoux's coding, in terms of regular continued fractions, of the geodesic flow on the modular surface to give a cross section on which the return map is a double cover of…
Hausdorff dimension of the set of real numbers of Lagrange value three
Thomas A. Schmidt, Mark Sheingorn
We show that the set of real numbers of Lagrange value 3 has Hausdorff dimension zero by showing the appropriate generalization for each element of the Teichmueller space of the ap…