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DTSTART:20250330T030000
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DTSTAMP:20260424T040530Z
UID:68b0106472ebd291443726@ist.ac.at
DTSTART:20251010T155000
DTEND:20251010T164000
DESCRIPTION:Speaker: Volodymyr Riabov\nhosted by Laszlo Erdös\, Jan Maas\n
 Abstract: Random band matrices have entries concentrated in a narrow band 
 of width W around the main diagonal\, modeling systems with spatially loca
 lized interactions. We consider one-dimensional random band matrices with 
 bandwidth W >> N^\, general variance profile\, and arbitrary entry distrib
 utions. We establish complete isotropic delocalization\, quantum unique er
 godicity (eigenstate thermalization)\, and Wigner-Dyson universality in th
 e bulk of the spectrum. The key technical input is a family of local laws 
 capturing the spatial decay of resolvent entries\, established using a com
 bination of Ornstein-Uhlenbeck dynamics and Green function comparison (the
  Zigzag strategy). Based on joint work with Laszlo Erdös.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Volodymyr Riabov: The Zigzag Strategy for Random Band Matrices
URL:https://talks-calendar.ista.ac.at/events/5975
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