The DOI matches its Crossref record; 91 of the 91 references it cites were found in a registry or an index.
Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations
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
An introduction to probability theory and its applications
(1958) · Journal of the Franklin Institute · doi:10.1016/0016-0032(58)90688-4 · Cited by 29,269
Partial Differential Equations
(1988) · Lecture Notes in Mathematics · doi:10.1007/bfb0082920 · Cited by 23,383
Rudin, W. (1973) · Cited by 13,740
The Fokker-Planck Equation: Methods of Solution and Applications
Risken, H. (1996) · Springer Series in Synergetics · doi:10.1007/978-3-642-61544-3 · Cited by 9,056
Doob, J. L., & Doob, J. L. (1953) · CERN Document Server (European Organization for Nuclear Research) · Cited by 9,053
Methods of Modern Mathematical Physics
(1972) · Elsevier eBooks · doi:10.1016/b978-0-12-585001-8.x5001-6 · Cited by 8,883
Stochastic Processes in Physics and Chemistry
(2007) · Elsevier eBooks · doi:10.1016/b978-0-444-52965-7.x5000-4 · Cited by 8,692
Brownian motion in a field of force and the diffusion model of chemical reactions
Kramers, H. A. (1940) · Physica · doi:10.1016/s0031-8914(40)90098-2 · Cited by 8,625
Stochastic Problems in Physics and Astronomy
Chandrasekhar, S. (1943) · Reviews of Modern Physics · doi:10.1103/revmodphys.15.1 · Cited by 8,470
Bhatia, R., Bredon, G. E., Walter, W. L., Rotman, J. J., Murty, M. R., Gilman, J., Walters, P., Golubitsky, M., Karatzas, I., Cohen, H., et al. (1977) · Cited by 8,252
Cited by
Klus, S., Nüske, F., Peitz, S., Niemann, J.-H., Clementi, C., & Schütte, C. (2020) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2020.132416 · Cited by 267
Statistical mechanics of active Ornstein-Uhlenbeck particles
Martin, D., O'Byrne, J., Cates, M. E., Fodor, É., Nardini, C., Tailleur, J., & van Wijland, F. (2021) · Physical Review E · doi:10.1103/physreve.103.032607 · Cited by 265
The free energy principle made simpler but not too simple
Friston, K., Da Costa, L., Sajid, N., Heins, C., Ueltzhöffer, K., Pavliotis, G. A., & Parr, T. (2023) · Physics Reports · doi:10.1016/j.physrep.2023.07.001 · Cited by 163
“…flow into conservative (rotational, divergence-free) and dissipative (irrotational, curl-free) components—with respect to the steady-state density—referred to as solenoidal and gradient flows, respectively [9,25–30]: This can be understood intuitively as a decomposition of the flow into two parts.”
InfluentialSelf-citationMarkov blankets, information geometry and stochastic thermodynamics
Parr, T., Da Costa, L., & Friston, K. (2020) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2019.0159 · Cited by 141
Bayesian mechanics for stationary processes
Da Costa, L., Friston, K., Heins, C., & Pavliotis, G. A. (2021) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2021.0518 · Cited by 63
Self-citation
Metadata
- Authors
- Pavliotis, G. A.
- Venue
- Texts in Applied Mathematics
- Publisher
- Springer New York
- Published
- 2014
- ISSN
- 0939-2475
- 2196-9949
- OpenAlex
- W2323824333
- Cited by
- 256
- References
- 91
- Type
- other
- Language
- en
- Open access
- closed
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
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: Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations. https://app.cochat.ai/papers/10.1007/978-1-4939-1323-7
- The paper
- Pavliotis, G. A. (2014). Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations. Texts in Applied Mathematics. https://doi.org/10.1007/978-1-4939-1323-7
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.
