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UID:20250802T121313EDT-6224V72ZDV@132.216.98.100
DTSTAMP:20250802T161313Z
DESCRIPTION:What is quantum chaos\n\nWhere do eigenfunctions of the Laplaci
 an concentrate as eigenvalues go to infinity? Do they equidistribute or do
  they concentrate in an uneven way? It turns out that the answer depends o
 n the nature of the geodesic flow. I will discuss various results in the c
 ase when the flow is chaotic: the Quantum Ergodicity theorem of Shnirelman
 \, Colin de Verdière\, and Zelditch\, the Quantum Unique Ergodicity conjec
 ture of Rudnick-Sarnak\,  the progress on it by Lindenstrauss and Soundara
 rajan\, and the entropy bounds of Anantharaman-Nonnenmacher. I will conclu
 de with a recent lower bound on the mass of eigenfunctions obtained with J
 in. It relies on a new tool called 'fractal uncertainty principle' develop
 ed in the works with Bourgain and Zahl.\n
DTSTART:20180112T210000Z
DTEND:20180112T220000Z
LOCATION:room 6254\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Semyon Dyatlov\, UC Berkeley / MIT
URL:/mathstat/channels/event/semyon-dyatlov-uc-berkele
 y-mit-283674
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