Fractal upper bounds on the density of semiclassical resonances

Details Fractal upper bounds on the density of semiclassical resonances Fractal upper bounds on the density of semiclassical resonances

2005-06-15

arxiv.org/abs/math/0506307v1

Mathematics

Spectral Theory

Scientific paper

For semiclassical problems we establish upper bounds on the number of
resonances in boxes of size $h$ along the real axis, in terms of the dimension
of the set of trapped trajectories. The proof uses second microlocalization.

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