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SUMMARY:Geometric analysis for Brownian motion on manifolds with non-stand
 ard boundary behaviour [Oberseminar Stochastics]
DTSTART:20250515T143000Z
DTEND:20250515T153000Z
DTSTAMP:20260613T212300Z
UID:indico-event-407@math-events.uni-bonn.de
DESCRIPTION:Speakers: Marie-Christin Bormann\n\nWe consider Brownian motio
 n on manifolds with sticky reflection from theboundary and with or without
  diffusion along the boundary. For the invariantmeasure consisting of a co
 nvex combination of the volume measure in theinterior and the Hausdorff me
 asure on the boundary we show upper boundson the Poincaré and logarithmic
  Sobolev constants under general curvatureassumptions on the manifold and 
 its boundary. The proof is based on an interpolation involving energy inte
 ractions between the boundary and the interiorof the manifold. Additionall
 y\, we also present a Cheeger-type inequality tobound the spectral gap fro
 m below. As a side result we obtain explicit geometric bounds on the first
  non-trivial Steklov eigenvalue.The talk is based on joint work with Max v
 on Renesse and Feng-Yu Wang.\n\nhttps://math-events.uni-bonn.de/event/407/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/407/
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