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Brownian Motion on Finsler Manifolds


Marketed By :  AV Akademikerverlag   Sold By :  Kamal Books International  
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  • Product Description

The aim of this thesis is to extend the concept of Brownian motion on Riemannian manifolds to the more general Finsler manifolds. We give a reasonable definition of Brownian motion which is very similar to the one in the Riemannian case. However for the proof of existence we use a slightly different but equivalent approach to Brownian motion. Therefore we introduce the Finsler Laplacian in a natural way and apply the Moreau-Yosida approximation and the theory of nonpositively curved metric spaces to construct a global solution to the heat equation on Finsler manifolds. Furthermore we approximate the Finsler structure by a time-dependent Riemannian metric which is induced by a function on the manifold. Aside from that we apply the recently proven existence theorem for Brownian motion on time-dependent Riemannian manifolds.

Product Specifications
SKU :COC24641
AuthorChristopher Wilke
Number of Pages88
Publishing Year6/25/2012
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandAV Akademikerverlag
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00