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Transfer operator approach to ray-tracing in circular domains (2020)
Journal Article
Slipantschuk, J., Richter, M., Chappell, D. J., Tanner, G., Just, W., & Bandtlow, O. F. (2020). Transfer operator approach to ray-tracing in circular domains. Nonlinearity, 33(11), 5773-5790. https://doi.org/10.1088/1361-6544/ab9dca

The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator equation for the energy density leads to an inhomogeneous equation wh... Read More about Transfer operator approach to ray-tracing in circular domains.

Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles (2020)
Journal Article
Rehemanjiang, A., Richter, M., Kuhl, U., & Stöckmann, H. (2020). Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles. Physical Review Letters, 124(11), Article 116801. https://doi.org/10.1103/physrevlett.124.116801

Random matrix theory has proven very successful in the understanding of the spectra of chaotic systems. Depending on symmetry with respect to time reversal and the presence or absence of a spin 1/2 there are three ensembles, the Gaussian orthogonal (... Read More about Microwave Realization of the Chiral Orthogonal, Unitary, and Symplectic Ensembles.