scholarly journals The surface limit of Brownian motion in tubular neighborhoods of an embedded Riemannian manifold

2004 ◽  
Vol 206 (2) ◽  
pp. 391-413 ◽  
Author(s):  
Nadezda A. Sidorova ◽  
Oleg G. Smolyanov ◽  
Heinrich v. Weizsäcker ◽  
Olaf Wittich
Keyword(s):  
Brownian Motion ◽  
Riemannian Manifold ◽  
Tubular Neighborhoods

scholarly journals Curvature, geodesics and the Brownian motion on a Riemannian manifold I—Recurrence properties

1982 ◽  
Vol 87 ◽  
pp. 101-114 ◽  
Author(s):  
Kanji Ichihara
Keyword(s):  
Brownian Motion ◽  
Riemannian Manifold ◽  
Compact Riemannian Manifold ◽  
Locally Compact

LetMbe ann-dimensional, complete, connected and locally compact Riemannian manifold andgbe its metric. Denote byΔMthe Laplacian onM.

scholarly journals Range of fluctuation of Brownian motion on a complete Riemannian manifold

1998 ◽  
Vol 26 (1) ◽  
pp. 78-111 ◽  
Author(s):  
Alexander Grigor'yan ◽  
Mark Kelbert
Keyword(s):  
Brownian Motion ◽  
Riemannian Manifold ◽  
Complete Riemannian Manifold

The Expansion of Mean Distance of Brownian Motion on Riemannian Manifold

2004 ◽  
Vol 22 (1) ◽  
pp. 169-191
Author(s):  
Yoon Tae Kim ◽  
Hyun Suk Park ◽  
Jong Woo Jeon
Keyword(s):  
Brownian Motion ◽  
Riemannian Manifold

scholarly journals Radial Part of Brownian Motion on a Riemannian Manifold

1995 ◽  
Vol 23 (1) ◽  
pp. 173-177 ◽  
Author(s):  
M. Liao ◽  
W. A. Zheng
Keyword(s):  
Brownian Motion ◽  
Riemannian Manifold ◽  
Radial Part
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