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SUMMARY:Transport of Gaussian measures under the flow of semilinear (S)PDE
 s: quasi-invariance and singularity - Leonardo Tolomeo (University of Edin
 burgh)
DTSTART:20250612T140000Z
DTEND:20250612T150000Z
UID:TALK227347@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:In this talk\, we consider the Cauchy problem for a number of 
 semilinear PDEs\, subject to initial data distributed according to a famil
 y of Gaussian measures.  \n\nWe first discuss how the flow of Hamiltonian 
 equations transports these Gaussian measures. When the transported measure
  is absolutely continuous with respect to the initial measure\, we say tha
 t the initial measure is quasi-invariant. \n\nWe will discuss possible app
 lications of quasi-invariance\, and explore various techniques to show it.
  \n\nWe will also discuss how the same techniques can be used in the conte
 xt of stochastic PDEs\, and how they provide information on the invariant 
 measures for their flow. \n\nThis is based on joint works with J. Coe (Uni
 versity of Edinburgh)\, J. Forlano (Monash University)\, and M. Hairer (EP
 FL).
LOCATION:Centre for Mathematical Sciences\, MR14
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