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DTSTART:20260329T030000
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DTSTAMP:20260614T101033Z
UID:6a228b5ab4e49352705797@ist.ac.at
DTSTART:20260630T161500
DTEND:20260630T171500
DESCRIPTION:Speaker: Reuben Drogin\nhosted by Laszlo Erdös\nAbstract: The 
 FurstenbergKesten theorem asserts that the singular values of a product of
  IID random matrices grow or decay exponentially at deterministic rates\, 
 called Lyapunov exponents. Classical results give qualitative criteria ens
 uring that these exponents are distinct and or positive\, but many applica
 tions\, e.g. the theory of random band matrices\, require quantitative est
 imates. We discuss such estimates and their connections to localization fo
 r random band matrices. In particular\, we show the Lyapunov exponents ass
 ociated with a class of 2W x 2W transfer matrices are separated at scale 1
 /W\, and the top Lyapunov exponent converges to a deterministic limit as W
  tends to infinity.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Reuben Drogin: Singular Values of Random Matrix Products and Random
  Band Matrices
URL:https://talks-calendar.ista.ac.at/events/6501
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