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math.AP2010
Quantized open chaotic systems
Stéphane Nonnenmacher
Two different "wave chaotic" systems, involving complex eigenvalues or resonances, can be analyzed using common semiclassical methods. In particular, one obtains fractal Weyl upper…
math.AP2010
Entropy of chaotic eigenstates
Stéphane Nonnenmacher
These notes present a recent approach to study the high-frequency eigenstates of the Laplacian on compact Riemannian manifolds of negative sectional curvature. The main result is a…
math.AP2010★ 24 cited
From open quantum systems to open quantum maps
Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski
For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be red…