206 citations · 583 across the 9 of their papers we have counts for
9 papers
Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
Oleh Hul, Michał Ławniczak, Szymon Bauch +3
The famous question of Mark Kac "Can one hear the shape of a drum?" addressing the unique connection between the shape of a planar region and the spectrum of the corresponding Lapl…
Departure of some parameter-dependent spectral statistics of irregular quantum graphs from Random Matrix Theory predictions
Oleh Hul, Petr Seba, Leszek Sirko
Parameter-dependent statistical properties of spectra of totally connected irregular quantum graphs with Neumann boundary conditions are studied. The autocorrelation functions of l…
Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption
Michal Lawniczak, Oleh Hul, Szymon Bauch +2
We present the results of experimental and numerical study of the distribution of the reflection coefficient P(R) and the distributions of the imaginary P(v) and the real P(u) part…
Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry
Nazar Savytskyy, Oleg Tymoshchuk, Oleh Hul +2
We show that using the concept of the two-dimensional level number N_{|} one can experimentally study of the nodal domains in a three-dimensional (3D) microwave chaotic rough billi…
Experimental investigation of electric field distributions in a chaotic 3D microwave rough billiard
Oleg Tymoshchuk, Nazar Savytskyy, Oleh Hul +2
We present the first experimental study of the electric field distributions E_N of a three-dimensional (3D) microwave chaotic rough billiard with the translational symmetry. The tr…
Experimental investigation of Wigner's reaction matrix for irregular graphs with absorption
Oleh Hul, Oleg Tymoshchuk, Szymon Bauch +2
We use tetrahedral microwave networks consisting of coaxial cables and attenuators connected by T-joints to make an experimental study of Wigner's reaction K matrix for irregular g…