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Dynamical theories of Brownian motion.

These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nelson, Edward, 1932-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J., Princeton University Press [1967]
Colección:Mathematical notes (Princeton University Press)
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Nelson, Edward,  |d 1932- 
245 1 0 |a Dynamical theories of Brownian motion. 
260 |a Princeton, N.J.,  |b Princeton University Press  |c [1967] 
300 |a 1 online resource (142 pages)  |b diagrams 
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490 1 |a Mathematical notes (Princeton, N.J.) 
504 |a Includes bibliographical references. 
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588 0 |a Print version record. 
505 0 |a Cover Page -- Title Page -- Copyright Page -- Contents -- 1. Apology -- 2. Robert Brown -- 3. The period before Einstein -- 4. Albert Einstein -- 5. Derivation of the Wiener process -- 6. Gaussian processes -- 7. The Wiener integral -- 8. A class of stochastic differential equations -- 9. The Qrnstein-Uhlenbeck theory of Brownian motion -- 10. Brownian motion in a force field -- 11. Kinematics of stochastic motion -- 12. Dynamics of stochastic motion -- 13. Kinematics of Markoffian motion -- 14. Remarks on quantum mechanics -- 15. Brownian motion in the aether 
520 |a These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics. 
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650 6 |a Mouvement brownien. 
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650 7 |a Brownian movements  |2 fast 
650 7 |a Brownsche Bewegung  |2 gnd 
650 1 7 |a Brownse beweging.  |2 gtt 
650 1 7 |a Wiskundige methoden.  |2 gtt 
650 1 7 |a Mathematische fysica.  |2 gtt 
650 7 |a Mouvement brownien.  |2 ram 
653 |a "Robert Brown. 
653 |a Albert Einstein. 
653 |a Algebraic integration theory. 
653 |a Avogadro's number. 
653 |a Bounty. 
653 |a Dynamics of stochastic motion. 
653 |a Einstein-Smoluchowski theory. 
653 |a Encyclopaedia Britannica. 
653 |a Equisetum. 
653 |a Feynman integrals. 
653 |a Gaussian measure. 
653 |a Hamiltonians. 
653 |a Ornstein-Uhlenbeck theory. 
653 |a Quantum mechanics. 
653 |a Theorem". 
653 |a Wiener integral. 
653 |a complete description. 
653 |a dynamical theory. 
653 |a fertilization process. 
653 |a interaction. 
653 |a mean backward velocity. 
653 |a notions. 
653 |a orthogonal. 
653 |a probability theory. 
653 |a solipsism. 
653 |a stochastic theory. 
653 |a triviality. 
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