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20012012
most citedPseudodifferential operators and weighted normed symbol spaces

6 citations · 32 across the 13 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.SP2011

PT symmetry and Weyl asymptotics

Johannes Sjoestrand

For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is…

math.AP2011

Fractal Weyl law for open quantum chaotic maps

Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski

We study the semiclassical quantization of Poincaré maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl up…