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math.SP2005★ 5 cited
Fractal upper bounds on the density of semiclassical resonances
J. Sjoestrand, M. Zworski
For semiclassical problems we establish upper bounds on the number of resonances in boxes of size along the real axis, in terms of the dimension of the set of trapped trajector…
math.SP2003★ 6 cited
Eigenfunctions for partially rectangular billiards
N. Burq, M. Zworski
In this note we further develop the idea of using a ``black box'' point of view (see our previous work) to study eigenfunctions for billiards which have rectangular components: the…
math.SP2002
Birkhoff Normal Forms in Semi-Classical Inverse Problems
A. Iantchenko, J. Sjoestrand, M. Zworski
We apply recent results on semi-classical trace formulae and on Birkhoff normal forms for semi-classical Fourier integral operators to a wide range of semi-classical and high energ…