Zobrazeno 1 - 10
of 223
pro vyhledávání: '"Zworski, M."'
Publikováno v:
PRL 110, 164102 (2013)
Symmetry reduced three-disk and five-disk systems are studied in a microwave setup. Using harmonic inversion the distribution of the imaginary parts of the resonances is determined. With increasing opening of the systems, a spectral gap is observed f
Externí odkaz:
http://arxiv.org/abs/1212.5897
Publikováno v:
Physical Review E 86, 066205 (2012)
We present microwave experiments on the symmetry reduced 5-disk billiard studying the transition from a closed to an open system. The measured microwave reflection signal is analyzed by means of the harmonic inversion and the counting function of the
Externí odkaz:
http://arxiv.org/abs/1209.2304
Autor:
Christiansen, T. J., Zworski, M.
For the Toeplitz quantization of complex-valued functions on a $2n$-dimensional torus we prove that the expected number of eigenvalues of small random perturbations of a quantized observable satisfies a natural Weyl law. In numerical experiments the
Externí odkaz:
http://arxiv.org/abs/0909.2014
Autor:
Christiansen, T. J., Zworski, M.
The purpose of this note is to give a mathematical explanation of a formula for the scattering matrix for a manifold with infinite cylindrical ends or a waveguide. This formula, which is well known in the physics literature, is sometimes referred to
Externí odkaz:
http://arxiv.org/abs/0903.3611
Autor:
Sjoestrand, J., Zworski, M.
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.
Externí odkaz:
http://arxiv.org/abs/math/0506307
Autor:
Sjoestrand, J., Zworski, M.
We discuss the general method of Grushin problems, closely related to Shur complements, Feshbach projections and effective Hamiltonians, and describe various appearances in spectral theory, pdes, mathematical physics and numerical problems.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/math/0312166
Autor:
Burq, N., Zworski, M.
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: they include the Bunimovich billiard, the Sinai billiard, and the recentl
Externí odkaz:
http://arxiv.org/abs/math/0312098
Autor:
Burq, N., Zworski, M.
Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we are able to present a new rigorous result using only elementary calcu
Externí odkaz:
http://arxiv.org/abs/math/0306278
Autor:
Burq, N., Zworski, M.
We apply the ``black box'' scattering theory to problems in control theory and in high energy eigenvalue scarring.
Comment: 24 pages, 6 figures, precisions added to some of the proofs, typos fixed
Comment: 24 pages, 6 figures, precisions added to some of the proofs, typos fixed
Externí odkaz:
http://arxiv.org/abs/math/0304184
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 energy spectral inverse problems.
Externí odkaz:
http://arxiv.org/abs/math/0201190