The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Dynamical Theories of Brownian Motion
Abstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
Bohm, D. (1952) · Physical Review · doi:10.1103/physrev.85.166 · Cited by 5,510
Derivation of the Schrödinger Equation from Newtonian Mechanics
Nelson, E. (1966) · Physical Review · doi:10.1103/physrev.150.1079 · Cited by 1,725
Self-citation
Cited by
Reverse-time diffusion equation models
Anderson, B. D. O. (1982) · Stochastic Processes and their Applications · doi:10.1016/0304-4149(82)90051-5 · Cited by 565
Path integrals and symmetry breaking for optimal control theory
Kappen, H. J. (2005) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2005/11/p11011 · Cited by 309
Random fields and diffusion processes
Föllmer, H. (1988) · Lecture Notes in Mathematics · doi:10.1007/bfb0086180 · Cited by 269
Bell inequalities and entanglement
Werner, R., & Wolf, M. (2001) · Quantum Information and Computation · doi:10.26421/qic1.3-1 · Cited by 129
Stochastic mechanics and quantum theory
Goldstein, S. (1987) · Journal of Statistical Physics · doi:10.1007/bf01206150 · Cited by 67
Metadata
- Authors
- NELSON, E.
- Venue
- Princeton University Press eBooks
- Publisher
- Princeton University Press
- Published
- 2020-10-06
- OpenAlex
- W1481161909
- Cited by
- 1,123
- References
- 3
- FWCI
- 12.63
- Type
- book
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Dynamical Theories of Brownian Motion. https://app.cochat.ai/papers/10.2307/j.ctv15r57jg
- The paper
- NELSON, E. (2020). Dynamical Theories of Brownian Motion. Princeton University Press eBooks. https://doi.org/10.2307/j.ctv15r57jg
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.