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UID:6457@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210412T140000
DTEND;TZID=Europe/Paris:20210412T150000
DTSTAMP:20241120T201714Z
URL:https://www.i2m.univ-amu.fr/evenements/point-processes-and-interpolati
 on-video-talk/
SUMMARY:Alexander Bufetov (I2M\, Aix-Marseille Université): Point processe
 s and interpolation (video talk)
DESCRIPTION:Alexander Bufetov: The Kotelnikov theorem recovers  a Paley-Wi
 ener function from its restriction onto an arithmetic progression. A Paley
 -Wiener function can also be recovered from its restriction onto a realiza
 tion of the sine-process with one particle removed. If no particles are re
 moved\, then the possibility of such interpolation for the sine-process is
  due to Ghosh\, for general determinantal point processes governed by orth
 ogonal projections\, to Qiu\, Shamov and the speaker. If two particles are
  removed\, then there exists a nonzero Paley-Wiener function vanishing at 
 all the remaining particles.\nHow explicitly to interpolate a function  b
 elonging to Hilbert space that admits a reproducing kernel\, given the res
 triction of our function onto  a realization of the determinantal pont pr
 ocess governed by the kernel? For the sine-process\, the Ginibre process\,
  the determinantal point process  with the Bessel kernel and  the determ
 inantal point process  with the Airy kernel\, A.A. Borichev\, A.V. Klimen
 ko and the speaker proved that if the function decays as a sufficiently hi
 gh negative power of the distance to the origin\, then the answer is given
  by the Lagrange interpolation formula.\nVideo talk\nhttps://bbb1.cirm-mat
 h.fr/playback/presentation/2.0/playback_default.html?meetingId=f8939f316b2
 fcf15dc46838494c26d79d8de04ed-1618221045284\n\n\n\nSchedule\, direct link 
 to the virtual room and all relevant information:\nhttps://conferences.cir
 m-math.fr/ichaos-virtual-discussion.html\nLecture room link: https://bbb
 1.cirm-math.fr/b/org-n9z-3je\nAccess code: voir mail\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Alexander_Bufetov.jpg
CATEGORIES:Séminaire,Event ERC IChaos,Processus Déterminantaux (ERC
 IChaos),Virtual event
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