Dynamical Theories of Brownian Motion / / Edward Nelson.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©1967 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | Mathematical Notes ;
106 |
| Online Access: | |
| Physical Description: | 1 online resource (148 p.) |
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| 072 | 7 | |a MAT029040 |2 bisacsh | |
| 082 | 0 | 4 | |a 531.163 |2 19 |
| 100 | 1 | |a Nelson, Edward, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Dynamical Theories of Brownian Motion / |c Edward Nelson. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2021] | |
| 264 | 4 | |c ©1967 | |
| 300 | |a 1 online resource (148 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Mathematical Notes ; |v 106 | |
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t §1. Apology -- |t §2. Robert Brown -- |t §3. The period before Einstein -- |t §4. Albert Einstein -- |t §5. Derivation of the Wiener process -- |t §6. Gaussian processes -- |t §7. The Wiener integral -- |t §8. A class of stochastic differential equations -- |t §9. The Ornstein-Uhlenbeck theory of Brownian motion -- |t §10. Brownian motion in a force field -- |t §11. Kinematics of stochastic motion -- |t §12. Dynamics of stochastic motion -- |t §13. Kinematics of Markoffian motion -- |t §14. Remarks on quantum mechanics -- |t §15. Brownian motion in the aether -- |t §16. Comparison with quantum mechanics |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Brownian movements. | |
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / Stochastic Processes. |2 bisacsh | |
| 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. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Mathematical Notes eBook-Package 1970-2016 |z 9783110494921 |o ZDB-23-PMN |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691219615?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691219615 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691219615/original |
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| 912 | |a ZDB-23-PMN |c 1970 |d 2016 | ||