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Fundamentals of Finslerian Diffusion with Applications : Fundamental Theories of Physics - P. L. Antonelli

Fundamentals of Finslerian Diffusion with Applications

Fundamental Theories of Physics

Hardcover

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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.

Introductionp. 1
Finsler Spacesp. 7
Introduction to Stochastic Calculus on Manifoldsp. 39
Stochastic Development on Finsler Spacesp. 55
Volterra-Hamilton Systems of Finsler Typep. 81
Finslerian Diffusion and Curvaturep. 133
Diffusion on the Tangent and Indicatrix Bundlesp. 159
Diffusion and Laplacian on the Base Spacep. 175
Two-Dimensional Constant Berwald Spacesp. 183
Bibliographyp. 191
Indexp. 201
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792355113
ISBN-10: 0792355113
Series: Fundamental Theories of Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 205
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 0.5