Reference : Brownian bridges to submanifolds
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/28211
Brownian bridges to submanifolds
English
Thompson, James mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2017
Potential Analysis
Springer
Yes (verified by ORBilu)
0926-2601
1572-929X
Amsterdam
The Netherlands
[en] We introduce and study Brownian bridges to submanifolds. Our method involves proving a general formula for the integral over a submanifold of the minimal heat kernel on a complete Riemannian manifold. We use the formula to derive lower bounds, an asymptotic relation and derivative estimates. We also see a connection to hypersurface local time. This work is motivated by the desire to extend the analysis of path and loop spaces to measures on paths which terminate on a submanifold.
Fonds National de la Recherche - FnR
http://hdl.handle.net/10993/28211
10.1007/s11118-017-9667-1
FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry of random evolutions > 01/03/2015 > 28/02/2018 > 2014

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