206 citations · 796 across the 17 of their papers we have counts for
17 papers
Families of isospectral and isoscattering quantum graphs
Pavel Kurasov, Omer Farooq, Michał Ławniczak +4
A concept of germ graphs and the M-function formalism are employed to construct large families of isospectral and isoscattering graphs. This approach represents a complete departur…
Distributions of the Wigner reaction matrix for microwave networks with symplectic symmetry in the presence of absorption
Michal Lawniczak, Afshin Akhshani, Omer Farooq +4
We report on experimental studies of the distribution of the reflection coefficients, and the imaginary and real parts of Wigner's reaction (K) matrix employing open microwave netw…
Hearing Euler characteristic of graphs
Michał Ławniczak, Pavel Kurasov, Szymon Bauch +3
The Euler characteristic and the total length are the most important topological and geometrical characteristics of a metric graph. Here, and …
Missing level statistics and the power spectrum of level fluctuations analysis of three-dimensional chaotic microwave cavities
Michał Ławniczak, Małgorzata Białous, Vitalii Yunko +2
We present an experimental study of missing level statistics of three-dimensional chaotic microwave cavities. The investigation is reinforced by the power spectrum of level fluctua…
Experimental and numerical study of spectral properties of three-dimensional chaotic microwave cavities: The case of missing levels
Vitalii Yunko, Małgorzata Białous, Szymon Bauch +2
We present an experimental and numerical study of missing-level statistics of chaotic three-dimensional microwave cavities. The nearest-neighbor spacing distribution, the spectral…
Non-universality in the spectral properties of time-reversal invariant microwave networks and quantum graphs
Barbara Dietz, Vitalii Yunko, Malgorzata Bialous +3
We present experimental and numerical results for the long-range fluctuation properties in the spectra of quantum graphs with chaotic classical dynamics and preserved time-reversal…