3 papers
math.MG2008
McShane's identity, using elliptic elements
Thomas A. Schmidt, Mark Sheingorn
We introduce a new method to establish McShane's Identity, based upon the fact that elliptic elements of order two in the Fuchsian group uniformizing the quotient of a fixed once-p…
math.NT2007
Tong's spectrum for Rosen continued fractions
Cor Kraaikamp, Thomas A. Schmidt, Ionica Smeets
The Rosen fractions are an infinite set of continued fraction algorithms, each giving expansions of real numbers in terms of certain algebraic integers. For each, we give a best po…
math.GT2004
Geometry of infinitely generated Veech groups
Pascal Hubert, Thomas A. Schmidt
Veech groups uniformize Teichmüller geodesic curves in Riemann moduli space. Recently, examples of infinitely generated Veech groups have been given. We show that these can even ha…