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Global geometry under isotropic Brownian flows

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Global geometry under isotropic Brownian flows
2.	Creator	Author's name, affiliation, country	Sreekar Vadlamani; Technion - Israel Institute of Technology
2.	Creator	Author's name, affiliation, country	Robert J. Adler; Technion - Israel Institute of Technology
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Stochastic flows; Brownian flows; manifolds; Lipschitz-Killing curvatures; evolution equations; Lyapunov exponents.
3.	Subject	Subject classification	Primary 60H10, 60J60; Secondary 52A39, 28A75.
4.	Description	Abstract	We consider global properties of a codimension one manifold embedded in Euclidean space, as it evolves under an isotropic and volume preserving Brownian flow of diffeomorphisms. In particular, we obtain expressions describing the expected rate of growth of the Lipschitz-Killing curvatures, or intrinsic volumes, of the manifold under the flow. These results shed new light on some of the intriguing growth properties of flows from a global perspective, rather than the local perspective, on which there is a much larger literature.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Louis and Samuel Seiden Technion Academic Chair; US-Israel Binational Science Foundation, Grant 2004064; Technion VPR Funds.
7.	Date	(YYYY-MM-DD)	2006-09-07
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1212
10.	Identifier	Digital Object Identifier	10.1214/ECP.v11-1212
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 11
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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