Dynamical Theories of Brownian Motion /

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:
Nelson, Edward,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2021]
©1967
Year of Publication:2021
Language:English
Series:Mathematical Notes ; 106
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Physical Description:1 online resource (148 p.)
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(OCoLC)1248760300
collection bib_alma
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spelling Nelson, Edward, author. aut http://id.loc.gov/vocabulary/relators/aut
Dynamical Theories of Brownian Motion / Edward Nelson.
Princeton, NJ : Princeton University Press, [2021]
©1967
1 online resource (148 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Mathematical Notes ; 106
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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Brownian movements.
MATHEMATICS / Probability & Statistics / Stochastic Processes. bisacsh
"Robert Brown.
Albert Einstein.
Algebraic integration theory.
Avogadro's number.
Bounty.
Dynamics of stochastic motion.
Einstein-Smoluchowski theory.
Encyclopaedia Britannica.
Equisetum.
Feynman integrals.
Gaussian measure.
Hamiltonians.
Ornstein-Uhlenbeck theory.
Quantum mechanics.
Theorem".
Wiener integral.
complete description.
dynamical theory.
fertilization process.
interaction.
mean backward velocity.
notions.
orthogonal.
probability theory.
solipsism.
stochastic theory.
triviality.
Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 9783110494921 ZDB-23-PMN
https://doi.org/10.1515/9780691219615?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691219615
Cover https://www.degruyter.com/document/cover/isbn/9780691219615/original
language English
format eBook
author Nelson, Edward,
Nelson, Edward,
spellingShingle Nelson, Edward,
Nelson, Edward,
Dynamical Theories of Brownian Motion /
Mathematical Notes ;
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
author_facet Nelson, Edward,
Nelson, Edward,
author_variant e n en
e n en
author_role VerfasserIn
VerfasserIn
author_sort Nelson, Edward,
title Dynamical Theories of Brownian Motion /
title_full Dynamical Theories of Brownian Motion / Edward Nelson.
title_fullStr Dynamical Theories of Brownian Motion / Edward Nelson.
title_full_unstemmed Dynamical Theories of Brownian Motion / Edward Nelson.
title_auth Dynamical Theories of Brownian Motion /
title_alt 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
title_new Dynamical Theories of Brownian Motion /
title_sort dynamical theories of brownian motion /
series Mathematical Notes ;
series2 Mathematical Notes ;
publisher Princeton University Press,
publishDate 2021
physical 1 online resource (148 p.)
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
isbn 9780691219615
9783110494921
url https://doi.org/10.1515/9780691219615?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691219615
https://www.degruyter.com/document/cover/isbn/9780691219615/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 530 - Physics
dewey-ones 531 - Classical mechanics; solid mechanics
dewey-full 531.163
dewey-sort 3531.163
dewey-raw 531.163
dewey-search 531.163
doi_str_mv 10.1515/9780691219615?locatt=mode:legacy
oclc_num 1248760300
work_keys_str_mv AT nelsonedward dynamicaltheoriesofbrownianmotion
status_str n
ids_txt_mv (DE-B1597)571649
(OCoLC)1248760300
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
is_hierarchy_title Dynamical Theories of Brownian Motion /
container_title Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016
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