Couplings of Brownian Motions of Deterministic Distance in Model Spaces of Constant Curvature

Mihai N. Pascu () and Ionel Popescu ()
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Mihai N. Pascu: Faculty of Mathematics and Computer Science
Ionel Popescu: Georgia Institute of Technology

Journal of Theoretical Probability, 2018, vol. 31, issue 4, 2005-2031

Abstract: Abstract We consider the model space $$\mathbb {M}^{n}_{K}$$ M K n of constant curvature K and dimension $$n\ge 1$$ n ≥ 1 (Euclidean space for $$K=0$$ K = 0 , sphere for $$K>0$$ K > 0 and hyperbolic space for $$K

Keywords: Brownian motion; Manifolds; Couplings; Distance function; Primary 60J65; Secondary 60G99; 58J65 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10959-017-0781-1

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