Fundamentals of Finslerian Diffusion with Applications /

This is the first text to be published on stochastic Finslerian geometry. The theory is rigorously presented and several applications in ecology, evolution and epidemiology are described. Amongst the various topics covered are the role of curvature in Finslerian diffusions, Nelson's stochastic...

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Bibliographic Details
Main Author: Antonelli, P. L.
Corporate Author: SpringerLink (Online service)
Other Authors: Zastawniak, T. J.
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint : Springer, 1999.
Series:Fundamental theories of physics ; 101.
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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520 |a This is the first text to be published on stochastic Finslerian geometry. The theory is rigorously presented and several applications in ecology, evolution and epidemiology are described. Amongst the various topics covered are the role of curvature in Finslerian diffusions, Nelson's stochastic mechanics, nonlinear (Finslerian) filtering and entropy production. Two appendices deal with, respectively, the stochastic Hodge theory of Finslerian harmonic forms, and the theory of 2-dimensional Finsler spaces. The latter plays an important role in the applications described in the text. <br/> <em>Audience:</em> This volume will be of interest to probabilists, applied mathematicians, mathematical biologists and geometers. It can also be recommended as a supplementary graduate text. 
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