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Fractal upper bounds on the density of semiclassical resonances

J. Sjoestrand·M. Zworski
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Abstract

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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J. Sjoestrand, M. Zworski. 2005-06-15. Fractal upper bounds on the density of semiclassical resonances. https://arxiv.org/abs/math/0506307

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