Care tutte, cari tutti,
Segnaliamo il seguente seminario nell’ambito delle attività del gruppo di Fisica Matematica, che si terrà Venerdì 21 Marzo, ore 14:30, in aula seminari:
Speaker: Joachim Kerner (University of Hagen) Titolo: Atypical spectral and transport properties of non-locally finite crystals (and maybe more).
Trovate l’abstract qui sotto.
Cordiali saluti, Luigi e Ilaria.
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Dear all,
We announce the following Mathematical Physics seminar on Friday 21, 2:30 pm, in Aula Seminari:
Speaker: Joachim Kerner (University of Hagen) Title: Atypical spectral and transport properties of non-locally finite crystals (and maybe more).
Please find the abstract below.
Best regards, Luigi and Ilaria
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Speaker: Joachim Kerner (University of Hagen)
Title: Atypical spectral and transport properties of non-locally finite crystals (and maybe more).
Abstract: In the first part of the talk we discuss recent results on Schrödinger operators on periodic graphs which are non-standard in the sense that we allow vertices to have an infinite number of neighbours. It turns out that such non-locally finite graphs exhibit various phenomena which are absent in the locally finite setting: and this is true from a spectral as well as transport point of view. Using some explicit examples, we shall illustrate such new effects in more detail. Quite surprisingly, it turns out that one of the examples provides us with a negative answer to a question raised by Damanik et al. in a recent paper on ballistic transport (this part of talk is based on joint work with O. Post, M. Sabri, and M. Täufer). If time allows, we shall also quickly discuss spectral comparison results on discrete graphs. In recent years, various authors have derived such comparison results on Euclidean domains and quantum graphs. Our aim is to present a generalization to the discrete setting. Along the way, we also establish a so-called local Weyl law which is of independent interest (the second part of the talk is based on joint work with P. Bifulco and C. Rose).
----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy