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SUMMARY:Inverse localization properties of high-energy eigenfunctions of t
 he Laplacian - Daniel Peralta-Salas (ICMAT)
DTSTART:20260114T101500Z
DTEND:20260114T111500Z
UID:TALK238201@talks.cam.ac.uk
DESCRIPTION:We consider the question of when the high-energy Laplace eigen
 functions are flexible enough to approximate\, over the natural length sca
 le\, an arbitrary solution of the Helmholtz equation. The validity of this
  inverse localization property is analyzed in various settings\, including
  flat tori and polygonal domains whose associated classical billiard dynam
 ics are integrable. A surprising connection with Berry's random wave conje
 cture is also discussed.
LOCATION:Seminar Room 1\, Newton Institute
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