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math.DG2025
Poincar{é} series for analytic convex bodies
Nguyen Viet Dang, Yannick Guedes Bonthonneau, Matthieu Léautaud +1
We study Poincar{é} series associated to strictly convex bodies in the Euclidean space. These series are Laplace transforms of the distribution of lengths (measured with the Finsle…
math.DG2019
Local rigidity of manifolds with hyperbolic cusps I. Linear theory and microlocal tools
Yannick Guedes Bonthonneau, Thibault Lefeuvre
This paper is the first in a series of two articles whose aim is to extend a recent result of Guillarmou-Lefeuvre on the local rigidity of the marked length spectrum from the case…