Cel 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 exploring the universality of localization in geometrically disordered systems.In the process, we will develop a topological version of the Multiscale Analysis, and we willstrive to isolate the geometric properties of the Delone sets for which the associated operators exhibit pure point spectrum. Next, we proceed to derive rigorously the linear response theory and Kubo formula in order to compute conductivities in disordered aperiodic systems, in both the single-particle as the N-particle case. For the latter, we aim at showing the existence of conductivity measures and the vanishing of dc-conductivity at zero temperature. To obtain rigorousresults on conductivity properties we will make use of tools from the theory of Delone dynamical systems, plus the latest developments in techniques to prove localization in the theory of random Schrödinger operators. Dziedzina nauki natural sciencesmathematicsapplied mathematicsdynamical systems Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Zaproszenie do składania wniosków FP7-PEOPLE-2012-IEF Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IEF - Intra-European Fellowships (IEF) Koordynator LUDWIG-MAXIMILIANS-UNIVERSITAET MUENCHEN Wkład UE € 168 794,40 Adres GESCHWISTER SCHOLL PLATZ 1 80539 Muenchen Niemcy Zobacz na mapie Region Bayern Oberbayern München, Kreisfreie Stadt Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Peter Müller (Prof.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
