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DTSTAMP:20260424T143011Z
UID:64b9491b15a40972477197@ist.ac.at
DTSTART:20240312T161500
DTEND:20240312T171500
DESCRIPTION:Speaker: Lorenzo Pigozzi\nhosted by Laszlo Erdös\nAbstract: Th
 ere is a strong relation between the dynamics of a system and the spectral
  properties of the Hamiltonian that defines it. Hence the spectrum of mode
 ls that can describe real-world material is an interesting object to study
 . A successful method to accomplish this is the analysis of Random Schrdin
 ger Operators\, where one adds a random potential to a known Hamiltonian. 
 A natural question to ask is under which conditions the spectral propertie
 s remain unchanged.The goal of this talk is to present the article by Aize
 nmann\, Sims\, and Warzel (2006) "Stability of the Absolutely Continuous S
 pectrum of Random Schrödinger Operators on Tree Graphs". Which tells us a
  condition under which the ac spectrum continues to exist. In other words\
 , when the system continues to exhibit de-localized states. During the tal
 k\, we will introduce the model\, the main theorem of the paper\, and its 
 relation to previous results\, and then we will sketch the main ideas behi
 nd the proof. This talk is the final part of my rotation with the Erds gro
 up.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Lorenzo Pigozzi: Delocalization for Random Schrödinger Operators o
 n Tree Graphs with small disorder
URL:https://talks-calendar.ista.ac.at/events/4829
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