The project aims at studying quantum graphs (differential operators on singular one-dimensional manifolds) with various types of disorder interactions. We are going to study various sources of such interactions (random vertex couplings, random magnetic field, random metric properties, quasiperiodic interactions) and to understand their contribution to the spectral and scattering properties of the corresponding operators, i.e. Anderson localization, stability of the spectrum, fractal spectra etc.
Call for proposal
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