3 papers
math.GT2005
Veech groups without parabolic elements
Pascal Hubert, Erwan Lanneau
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups w…
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…
math.DS2001
Complexity and growth for polygonal billiards
J. Cassaigne, P. Hubert, S. Troubetzkoy
We establish a relationship between the word complexity and the number of generalized diagonals for a polygonal billiard. We conclude that in the rational case the complexity funct…