45 citations · 210 across the 16 of their papers we have counts for
18 papers
Magnetic ring chains with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Jiri Lipovsky
We discuss spectral properties of an periodic quantum graph consisting of an array of rings coupled either tightly or loosely through connecting links, assuming that the vertex cou…
Application of topological resonances in experimental investigation of a Fermi golden rule in microwave networks
Michał Ławniczak, Jiří Lipovský, Małgorzata Białous +1
We investigate experimentally a Fermi golden rule in two-edge and five-edge microwave networks with preserved time reversal invariance. A Fermi golden rule gives rates of decay of…
Topological bulk-edge effects in quantum graph transport
Pavel Exner, Jiri Lipovsky
We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive…
The determinant of one-dimensional polyharmonic operators of arbitrary order
Pedro Freitas, Jiří Lipovský
We obtain an explicit expression for the regularised spectral determinant of the polyharmonic operator on with Dirichlet boundary conditi…
Spectral asymptotics of the Laplacian on Platonic solids graphs
Pavel Exner, Jiri Lipovsky
We investigate the high-energy eigenvalue asymptotics quantum graphs consisting of the vertices and edges of the five Platonic solids considering two different types of the vertex…
Non-Weyl Microwave Graphs
Michał Ławniczak, Jiří Lipovský, Leszek Sirko
One of the most important characteristics of a quantum graph is the average density of resonances, , where denotes the length of the graph. Th…