55 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
5 papers
Distinguishing co-spectral quantum graphs by scattering
Delio Mugnolo, Vyacheslav Pivovarchik
We propose a simple method for resolution of co-spectrality of Schrödinger operators on metric graphs. Our approach consists of attaching a lead to them and comparing the -funct…
Characteristic functions under series and parallel connection of quantum graphs
Vyacheslav Pivovarchik
For a graph consisting of parallel connected subgraphs we express the characteristic function of the boundary value problem with generalized Neumann conditions at both joining poin…
Emergent quantum mechanics of finances
Vadim Nastasiuk
This paper is an attempt at understanding the quantum-like dynamics of financial markets in terms of non-differentiable price-time continuum having fractal properties. The main ste…
Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings
Vyacheslav Pivovarchik, Natalia Rozhenko, Christiane Tretter
We solve two inverse spectral problems for star graphs of Stieltjes strings with Dirichlet and Neumann boundary conditions, respectively, at a selected vertex called root. The root…
Complete Einstein metrics are geodesically rigid
Volodymyr Kiosak, Vladimir S. Matveev
We prove that every complete Einstein (Riemannian or pseudo-Riemannian) metric is geodesically rigid: if any other complete metric has the same (unparametrized) geodes…