The DOI matches its Crossref record.
Approximation of Population Processes
Abstract
Weak convergence Markov processes and their generators Convergence to Markov processes Diffusion Approximations Branching Markov processes Markov processes as random time changes Approximations of density dependent Jump Markov processes Epidemic models Random replication with errors.
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
Cited by
A Brief History of Generative Models for Power Law and Lognormal Distributions
Mitzenmacher, M. (2004) · Internet Mathematics · doi:10.1080/15427951.2004.10129088 · Cited by 1,188
Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models
Davis, M. H. A. (1984) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1984.tb01308.x · Cited by 1,121
Control, exploitation and tolerance of intracellular noise
Rao, C. V., Wolf, D. M., & Arkin, A. P. (2002) · Nature · doi:10.1038/nature01258 · Cited by 1,006
Rao, C. V., & Arkin, A. P. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1545446 · Cited by 656
Modeling and Simulating Chemical Reactions
Higham, D. J. (2008) · SIAM Review · doi:10.1137/060666457 · Cited by 353
Metadata
- Authors
- Kurtz, T. G.
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 1981-01
- OpenAlex
- W2010309395
- Cited by
- 605
- References
- 0
- FWCI
- 4.53
- 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: Approximation of Population Processes. https://app.cochat.ai/papers/10.1137/1.9781611970333
- The paper
- Kurtz, T. G. (1981). Approximation of Population Processes. Society for Industrial and Applied Mathematics eBooks. https://doi.org/10.1137/1.9781611970333
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.
