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Spiraling spectra of geodesic lines in negatively curved manifolds
Revised version. Appeared in Math. Z. 268 (2011) 101-142. -
On the closedness of approximation spectra
Paru dans J. Th. Nb. Bordeaux 21 (2009) 701-710. -
On the almost sure spiraling of geodesics in negatively curved manifolds
35 pages, 5 figures, paru dans J. Diff. Geom. 85 (2010) 271-314. -
Some remarks concerning the rank of mapping tori and ascending HNN-extensions...
International audience -
About the Schneider-Lang theorem
The Schneider-Lang theorem is a classic transcendence criterion for complex numbers. It asserts that there are only finitely many points at which algebraically... -
Approximation diophantienne dans les variétés abéliennes
This thesis aims at providing a quantitative version of the following theorem : there are only finitely many approximations with positive exponent of any subvariety of... -
Hardy-Littlewood series and even continued fractions
International audience -
Applications of geometric invariant theory to diophantine geometry
Geometric invariant theory is a central subject in nowadays' algebraic geometry : developed by Mumford in the early sixties, it enhanced the knowledge of projective... -
Some contributions at the study of Laurent series with coefficients in a fini...
This thesis looks at the interplay of three important domains: combinatorics on words, theory of finite-state automata and number theory. More precisely, we show how... -
Sphere Packings and Beta-Integers
Sphere packings, mostly in R^n, and beta-integers, are the objects considered in this thesis. They are indifferently described in the language of sphere packings or in... -
Exponents of Diophantine approximation and Sturmian continued fractions
Let $\xi$ be a real number and let $n$ be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents $w_n(\xi)$ and... -
On simultaneous diophantine approximations to $\zeta(2)$ and $\zeta(3)$
The authors present a hypergeometric construction of rational approximations to $\zeta(2)$ and $\zeta(3)$ which allows one to demonstrate simultaneously the... -
Logarithm laws for equilibrium states in negative curvature
Let $M$ be a pinched negatively curved Riemannian manifold, whose unit tangent bundle is endowed with a Gibbs measure $m_F$ associated to a potential $F$. We compute...
