23 citations · 60 across the 16 of their papers we have counts for
14 papers · 1 filter
Ghost polygons, Poisson bracket and convexity
Martin Bridgeman, François Labourie
The moduli space of Anosov representations of a surface group in a semisimple group, which is an open set in the character variety, admits many more natural functions than the regu…
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary
Mikhail Belolipetsky, Martin Bridgeman
In this paper we derive explicit estimates for the functions which appear in the previous work of Bridgeman and Kahn. As a consequence, we obtain an explicit lower bound for the le…
Dilogarithm identities for solutions to Pell's equation in terms of continued fraction convergents
Martin Bridgeman
In this paper we give describe a new connection between the dilogarithm function and solutions to Pell's equation . For each solution to Pell's equation we…
Simple Length Rigidity for Hitchin Representations
Martin Bridgeman, Richard Canary, François Labourie
We show that a Hitchin representation is determined by the spectral radii of the images of simple, non-separating closed curves. As a consequence, we classify isometries of the int…
Simple length rigidity for Kleinian surface groups and applications
Martin Bridgeman, Richard D. Canary
We prove that a Kleinian surface groups is determined, up to conjugacy in the isometry group of , by its simple marked length spectrum. As a first application, we show…
The Poisson Bracket of Length functions in the Hitchin Component
Martin Bridgeman
Wolpert's cosine formula on Teichmüller space gives the Weil-Petersson Poisson bracket for geodesic length functions of closed curves as the sum of t…