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With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We develop a framework (through Patterson-Sullivan densities) allowing us to get rid of compactness assump…
Revised and expanded edition of: Geometry of reflecting rays and inverse spectral problems (Chichester, England; New York: Wiley, c1992).
This book studies various geometric properties of reflecting rays and generalized geodesies in bounded and unbounded domains and their relationship with inverse spectral and scattering problems. The trajectories of this type play an important role in many areas of mathematical p…
