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SUMMARY:Valentin Lychagin
DTSTART:20250924T162000Z
DTEND:20250924T180000Z
DTSTAMP:20260423T010528Z
UID:GDEq/138
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/138/">I
 nformation geometry of turbulent media</a>\nby Valentin Lychagin as part o
 f Geometry of differential equations seminar\n\nLecture held in room 303 o
 f the Independent University of Moscow.\n\nAbstract\nIn the talk\, we plan
  to discuss a method of geometrization of statistics on the example of ran
 dom vectors and its application to turbulent media\, by which we understan
 d random vector fields on base manifolds.\n\nWe show that this approach gi
 ves rise to various geometric structures on the tangent as well as cotange
 nt bundles.\n\nAmong these\, the most important is the Mahalanobis metric 
 on the tangent bundle\, which allows us to obtain all the necessary ingred
 ients for the description of flows in turbulent media.\n\nAs an illustrati
 on of the method\, we consider its applications to flows of real gases bas
 ed on Maxwell-Boltzmann-Gibbs statistics.\n
LOCATION:https://researchseminars.org/talk/GDEq/138/
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