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Intrinsic Coupling on Riemannian Manifolds and Polyhedra

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Intrinsic Coupling on Riemannian Manifolds and Polyhedra
2.	Creator	Author's name, affiliation, country	Max-K. von Renesse; Technical University Berlin
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Coupling; Gradient Estimates; Central Limit Theorem
3.	Subject	Subject classification	60J60; 60J45,58J50
4.	Description	Abstract	Starting from a central limit theorem for geometric random walks we give an elementary construction of couplings between Brownian motions on Riemannian manifolds. This approach shows that cut locus phenomena are indeed inessential for Kendall's and Cranston's stochastic proof of gradient estimates for harmonic functions on Riemannian manifolds with lower curvature bounds. Moreover, since the method is based on an asymptotic quadruple inequality and a central limit theorem only it may be extended to certain non smooth spaces which we illustrate by the example of Riemannian polyhedra. Here we also recover the classical heat kernel gradient estimate which is well known from the smooth setting.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Research Center SFB 611 at Bonn University of German Research Council (DFG)
7.	Date	(YYYY-MM-DD)	2004-06-08
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/205
10.	Identifier	Digital Object Identifier	10.1214/EJP.v9-205
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 9
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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