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Fundamentals of Finslerian Diffusion with Applications
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Buch
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Fachbuch
1998

Fundamentals of Finslerian Diffusion with Applications

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Fundamental Theories of Physics

ISBN
EAN
978-0-7923-5511-3
9780792355113
Artikel-Nr.
YPD92VP
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Rabatt
-13.0
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CHF 223.00
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194.00
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1
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Lieferzeit
20
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Dienstag
24.08.2021
speech-bubble-svg Beschreibung
The erratic motion of pollen grains and other tiny particles suspended in liquid is known as Brownian motion, after its discoverer, Robert Brown, a botanist who worked in 1828, in London. He turned over the problem of why this motion occurred to physicists who were investigating kinetic theory and thermodynamics; at a time when the existence of molecules had yet to be established. In 1900, Henri Poincare lectured on this topic to the 1900 International Congress of Physicists, in Paris [Wic95]. At this time, Louis Bachelier, a thesis student of Poincare, made a monumental breakthrough with his Theory of Stock Market Fluctuations, which is still studied today, [Co064]. Norbert Wiener (1923), who was first to formulate a rigorous concept of the Brownian path, is most often cited by mathematicians as the father of the subject, while physicists will cite A. Einstein (1905) and M. Smoluchowski. Both considered Markov diffusions and realized that Brownian behaviour nd could be formulated in terms of parabolic 2 order linear p. d. e. 'so Further more, from this perspective, the covariance of changes in position could be allowed to depend on the position itself, according to the invariant form of the diffusion introduced by Kolmogorov in 1937, [KoI37]. Thus, any time homogeneous Markov diffusion could be written in terms of the Laplacian, intrinsically given by the symbol (covariance) of the p. d. e. , plus a drift vec tor. The theory was further advanced in 1949, when K.
Inhaltsverzeichnis
Introduction. 1. Finsler Spaces. 2. Introduction to Stochastic Calculus on Manifolds. 3. Stochastic Development on Finsler Spaces. 4. Volterra-Hamilton Systems of Finsler Type. 5. Finslerian Diffusion and Curvature. 6. Diffusion on the Tangent and Indicatrix Bundles. A. Diffusion and Laplacian on the Base Space. B. Two-Dimensional Constant Berwald Spaces. Bibliography. Index.
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Research
Publikation
Niederlande
31.12.1998
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Sprache
Englisch
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Hardcover
205 Seiten
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