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SUMMARY:Computing the Spectra and Pseudospectra of Band-Dominated and Rand
 om Operators - Simon Chandler-Wilde (University of Reading)
DTSTART:20240118T150000Z
DTEND:20240118T160000Z
UID:TALK210118@talks.cam.ac.uk
CONTACT:Nicolas Boulle
DESCRIPTION:I will give an overview of my work over the last 15 years\, wi
 th collaborators including Marko Lindner (TU Hamburg)\, Ratchanikorn Chonc
 haiya (King Mongkut’s University of Technology\, Bangkok)\, Raffael Hagg
 er (Kiel)\, and Brian Davies (KCL)\, on computing the spectra and pseudosp
 ectra of banded and band-dominated operators. This will include describing
  algorithms that\, given appropriate inputs\, can produce a convergent seq
 uence of approximations to the spectrum of an arbitrary band-dominated ope
 rator\, with the property that each member of the sequence can be computed
  in finitely many arithmetical operations. We give a concrete implementati
 on of the algorithm for operators that are pseudoergodic in the sense of D
 avies (Commun. Math. Phys. 2001) and illustrate this algorithm by spectral
  computations for the beautiful Feinberg-Zee random hopping matrix. Detail
 s can be found at https://arxiv.org/abs/2401.03984
LOCATION:Centre for Mathematical Sciences\, MR14
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