BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Critical exponent and spectrum in negative curvature Tapie, Samuel


A famous theorem of Patterson and Sullivan shows that, on hyperbolic manifolds, the bottom of the spectrum of the Laplacian is related to the dynamics of the fundamental group via its critical exponent. In this talk, we will give an alternative simple proof of Patterson-Sullivan theorem, and we will explain which new insights it gives to the relationship between dynamics and bottom of the spectrum in negative curvature.

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