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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

吴波 副教授,复旦大学

Inviter: 李向东 研究员
Title:
Approximation to Wiener Measure on General Noncompact Riemannian Manifold
Time & Venue:
2018.10.22 15:00 N613
Abstract:

In prior work of Andersson-Driver, the path space with finite interval over a compact Riemannian manifold is approximated by finite dimensional manifolds $H_{x,\P} (M)$ consisting of piecewise geodesic paths adapted to partitions $\P$ of $[0,T]$, and the associated Wiener measure is also approximated by a sequence of probability measures on finite dimensional manifolds. In this talk, we will discuss these approximations on general Riemannian path space (possibly with infinite interval) over a non-compact Riemannian manifold. Extension to the free path space.

 

 

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