CORDIS Project
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This research aims to mathematically describe transport and conductivity in aperiodic structures, exploring the effects of geometric order and disorder. It seeks to establish rigorous theories for conductivity in disordered systems, contributing to the understanding of localization phenomena in complex materials.
We aim to obtain a rigorous mathematical description of transport and conductivity properties in aperiodic structures exhibiting a long-range geometric order with or without an additional energetic (stochastic) disorder.
In a first stage we aim to show that dynamical localization and pure point spectrum for Delone operators modelling aperiodic media is a typical feature in the space of all Delone operators in a sense to be defined, that is expected to be stronger than generic.
We aim at explori…
LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN
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