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SUMMARY:Valentin Lychagin
DTSTART:20221012T162000Z
DTEND:20221012T180000Z
DTSTAMP:20260423T023020Z
UID:GDEq/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/69/">On
  interplay between jet and information geometries</a>\nby Valentin Lychagi
 n as part of Geometry of differential equations seminar\n\nLecture held in
  room 303 of the Independent University of Moscow.\n\nAbstract\nWe will co
 nsider the procedure of measurement of random vectors\, operators and tens
 ors from the double point of view: pure probabilistic and geometrical. Usi
 ng the principle of minimum information gain\, we reformulate the probabil
 istic approach as studies in the geometry of jet spaces over the manifolds
  of extreme measures. Moreover\, the procedure of a measurement itself bec
 omes equivalent to study various geometrical structures on integral manifo
 lds of the Cartan distribution. We will illustrate all of this for the cas
 e of thermodynamics of real gases and phase transitions of the first and s
 econd orders.\n
LOCATION:https://researchseminars.org/talk/GDEq/69/
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