23 citations · 60 across the 16 of their papers we have counts for
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math.GT2013
Identities on Hyperbolic Manifolds
Martin Bridgeman, Ser Peow Tan
In this survey, we discuss four classes of identities due principally to Basmajian, McShane, Bridgeman-Kahn and Luo-Tan on hyperbolic manifolds and provide a unified approach for p…
math.GT2013★ 7 cited
Moments of the boundary hitting function for the geodesic flow on a hyperbolic manifold
Martin Bridgeman, Ser Peow Tan
In this paper we consider finite volume hyperbolic manifolds X with non-empty totally geodesic boundary. We consider the distribution of the times for the geodesic flow to hit the…
math.DG2013★ 2 cited
The pressure metric for Anosov representations
Martin Bridgeman, Richard Canary, Francois Labourie +1
Using the thermodynamics formalism, we introduce a notion of intersection for projective Anosov representations, show analyticity results for the intersection and the entropy, and…