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Speaker:
Kazuhiro Kuwae
Zugehörigkeit:
Fukuoka Univeristy
Datum:
Die, 12/09/2017 - 15:00 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Metric Measure Spaces and Ricci Curvature We establish a stochastic expression of radial processes $d(p,X_t)=r_p(X_t)$ on RCD${}^*(K,N)$-space for $K\in R$ and $N\in[1,\infty[$ under the law for quasi-everywhere starting point. Moreover, under a condition for the reference point $p$, we can strengthen the expression under the law for everywhere starting point. As a corollary, we obtain various kind comparison theorems on radial process, heat kernel and so on. This is a joint work with Kazumasa Kuwada.
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