BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Ana Djurdjevac (FU Berlin)
DTSTART:20210617T084500Z
DTEND:20210617T093000Z
DTSTAMP:20260423T024621Z
UID:YRbGSA/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YRbGSA/7/">R
 epresentation of Gaussian random fields on spheres</a>\nby Ana Djurdjevac 
 (FU Berlin) as part of Young Researchers between Geometry and Stochastic A
 nalysis 2021\n\n\nAbstract\nMotivated by biological application\, such as 
 cell-biology\, partial differential equations on curved (moving) domains h
 ave become a flourishing mathematical field. Moreover\, including uncertai
 nty into these models is natural due to the lack of precise initial data o
 r randomness of the processes itself. One of the basic questions in these 
 models is how to represent random field on a curved domain?\n\nIn this pre
 sentation we will first give a brief insight into different possibilities 
 of representing isotropic Gaussian random fields defined on a flat domain 
 and their importance. In particular\, we will recall the standard Karhunen
 -Loeve expansions. Next\, we will consider Gaussian random fields on a sph
 ere. The main goal of the talk will be to present the construction of a mu
 ltilevel expansions of isotropic Gaussian random fields on a sphere with i
 ndependent Gaussian coefficients and localized basis functions (modified s
 pherical needlets). In the last part we show numerical illustrations and a
 n application to random elliptic\n\nPDEs on a sphere. This is a joint work
  with Markus Bachmayr.\n
LOCATION:https://researchseminars.org/talk/YRbGSA/7/
END:VEVENT
END:VCALENDAR