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math.DS2018
Exponential gaps in the length spectrum
Emmanuel Schenck
We present a separation property for the gaps in the length spectrum of a compact Riemannian manifold with negative curvature. In arbitrary small neighborhoods of the metric for so…
math.AP2018
Resonances near the real axis for manifolds with hyperbolic trapped sets
Emmanuel Schenck
For manifolds Euclidian at infinity and compact perturbations of the Laplacian, we show that under assumptions involving hyperbolicity of the classical flow on the trapped set and…