| 書目名稱 | Fundamentals of Finslerian Diffusion with Applications | | 編輯 | P. L. Antonelli,T. J. Zastawniak | | 視頻video | http://file.papertrans.cn/351/350299/350299.mp4 | | 叢書名稱 | Fundamental Theories of Physics | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Book 1999 | | 關鍵詞 | Stochastic calculus; Volume; curvature; development; ecology; evolution; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-4824-5 | | isbn_softcover | 978-94-010-6023-3 | | isbn_ebook | 978-94-011-4824-5Series ISSN 0168-1222 Series E-ISSN 2365-6425 | | issn_series | 0168-1222 | | copyright | Springer Science+Business Media Dordrecht 1999 |
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