3 papers
math.DS2026
Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
Giovanni Forni, William M. Goldman, Sean Lawton +1
Almost 20 years ago, the first and fourth authors found examples of SL(2,R)-invariant subbundles of Hodge bundles over Teichmüller curves having maximally degenerate Lyapunov spect…
math.DS2011
Geodesics on Margulis spacetimes
William M. Goldman, Francois Labourie
Let M be a Margulis spacetime whose associated complete hyperbolic surface S has compact convex core. Generalizing the correspondence between closed geodesics on M and closed geode…
math.GT2009
Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
William M. Goldman
The conjugacy class of a generic unimodular 2 by 2 complex matrix is determined by its trace, which may be an arbitrary complex number. In the nineteenth century, it was known that…