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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| Format: | eBook |
| Language: | English |
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Princeton, New Jersey
Princeton University Press
2021, ©1967
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| Series: | Mathematical Notes
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| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
Table of Contents:
- Frontmatter
- 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 Ornstein-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
- §16. Comparison with quantum mechanics