Spectre d'une variété privée d'un ɛ-tube (Conditions de Dirichlet)
La première valeur propre non nulle du laplacien des formes
Peut-on entendre les trous d'un tambour ?
Exemple de variété riemannienne et de spectre
Des questions de stabilité
A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
Finite parts of the spectrum of a Riemann surface.
Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d'injectivité.
Petites valeurs propres et classe d’Euler des fibrés
Uniform growth of groups acting on Cartan–Hadamard spaces
In this paper we investigate the growth of finitely generated groups. We recall the definition of the algebraic entropy of a group and show that if the group is acting as a discrete subgroup of the isometry group of a Cartan–Hadamard manifold with pinched negative curvature then a Tits alternative is true. More precisely the group is either virtually nilpotent or has a uniform growth bounded below by an explicit constant.
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