â€“ Let Î¾ be a real number and let n be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents w n (Î¾) and w * n (Î¾) defined by Mahler and Koksma. Weâ€¦ (More)

We prove sharp rate of convergence to stationarity for a natural random walk on a compact Riemannian manifold (M, g). The proof includes a detailed study of the spectral theory of the associatedâ€¦ (More)

This paper is an introduction to Newton, a constraint programming language over nonlinear real constraints. Newton originates from an effort to reconcile the declarative nature of constraint logicâ€¦ (More)

This paper gives geometric tools: comparison, Nash and Sobolev inequalities for pieces of the relevent Markov operators, that give useful bounds on rates of convergence for the Metropolis algorithm.â€¦ (More)

We study a semiclassical random walk with respect to a probability measure with a finite number n0 of wells. We show that the associated operator has exactly n0 exponentially close to 1 eigenvaluesâ€¦ (More)

A specific device has been set up to test by vibration resonance the mode I fatigue delamination growth onset of composite laminates. This test system, based on the DCB test specimen, is aâ€¦ (More)

We study the non-linear SchÃ¶dinger equation with time depending magnetic field without smallness assumption at infinity. We obtain some results on the Cauchy problem, WKB asymptotics and instability.

We present a methodology for the common development of combustion engine control Software between TIER-1 supplier and OEM. The classical approach of shared development used in single core projectsâ€¦ (More)