59 citations · 572 across the 34 of their papers we have counts for
17 papers · 1 filter
Resonances in hyperbolic dynamics
Stéphane Nonnenmacher
The study of wave propagation outside bounded obstacles uncovers the existence of resonances for the Laplace operator, which are complex-valued generalized eigenvalues, relevant to…
Decay of correlations for normally hyperbolic trapping
Stephane Nonnenmacher, Maciej Zworski
We prove that for evolution problems with normally hyperbolic trapping in phase space, correlations decay exponentially in time. Normal hyperbolic trapping means that the trapped s…
Spectral theory of damped quantum chaotic systems
Stéphane Nonnenmacher
We investigate the spectral distribution of the damped wave equation on a compact Riemannian manifold, especially in the case of a metric of negative curvature, for which the geode…
Spectral problems in open quantum chaos
Stéphane Nonnenmacher
This review article will present some recent results and methods in the study of 1-particle quantum or wave scattering systems, in the semiclassical/high frequency limit, in cases…
Quantum transfer operators and quantum scattering
Stéphane Nonnenmacher
These notes describe a new method to investigate the spectral properties if quantum scattering Hamiltonians, developed in collaboration with J. Sjöstrand and M.Zworski. This method…
Chaotic vibrations and strong scars
Nalini Anantharaman, Stéphane Nonnenmacher
This article aims at popularizing some aspects of "quantum chaos", in particular the study of eigenmodes of classically chaotic systems, in the semiclassical (or high frequency) li…