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UID:news1400@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20221108T142014
DTSTART;TZID=Europe/Zurich:20221202T160000
SUMMARY:BZ Seminar in Analysis: Aleksandr Logunov (University of Geneva)
DESCRIPTION:The functions sin(kx)\, cos(kx) are positive on half of the cir
 cle and are negative on another half. D.Armitage and S.Gardiner conjectur
 ed that the sign of spherical harmonics is always positive on a portion o
 f the sphere bounded below by a positive constant\, which depends only on
  the dimension of the sphere. This phenomenon is called quasi-symmetry of
  sign and it was proved by H.Donnelly and C.Fefferman. Nazarov\, Polterov
 ich and Sodin suggested that quasi-symmetry of sign happens on small sca
 les in the regime when the eigenvalue grows to infinity. We will talk ab
 out the distribution of sign based on a joint work in progress with Fedya
  Nazarov.
X-ALT-DESC:<p>The functions sin(kx)\, cos(kx) are positive on half of the c
 ircle and are negative on another half.&nbsp\;D.Armitage and S.Gardiner co
 njectured that the sign of spherical harmonics is always positive on a por
 tion&nbsp\;of the sphere bounded below by a positive constant\,&nbsp\;whic
 h depends only on the dimension of the sphere.&nbsp\;This phenomenon is ca
 lled quasi-symmetry of sign and it was proved by H.Donnelly and C.Fefferma
 n.&nbsp\;Nazarov\, Polterovich and Sodin suggested that&nbsp\;quasi-symmet
 ry&nbsp\;of sign happens on small scales in the&nbsp\;regime when the eige
 nvalue grows to infinity.&nbsp\;We will talk about the distribution of sig
 n based on a joint&nbsp\;work in progress with Fedya Nazarov.</p>
DTEND;TZID=Europe/Zurich:20221202T170000
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