The DOI matches its Crossref record.
Topological entropy and Axiom A
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“They are, however, finite in number and we expect this to be the case more generally [10-13].”
From State-to-State Cosmology: A New View on the Cosmological Arrow of Time and the Past Hypothesis (2022) · cites this paper as [12]
Citations
Cites
Still being checked.
Cited by
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Katok, A. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684777 · Cited by 935
On iterated maps of the interval
Milnor, J., & Thurston, W. (1988) · Lecture Notes in Mathematics · doi:10.1007/bfb0082847 · Cited by 724
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
Newhouse, S. E. (1979) · Publications mathématiques de l IHÉS · doi:10.1007/bf02684771 · Cited by 534
Some systems with unique equilibrium states
Bowen, R. (1974) · Mathematical Systems Theory · doi:10.1007/bf01762666 · Cited by 330
Self-citationω-Limit sets for Axiom A diffeomorphisms
Bowen, R. (1975) · Journal of Differential Equations · doi:10.1016/0022-0396(75)90065-0 · Cited by 307
Self-citation
Metadata
- Authors
- Bowen, R.
- Corresponding author
- Bowen, Robert
- Venue
- Proceedings of Symposia in Pure Mathematics
- Publisher
- American Mathematical Society
- Published
- 1970
- Pages
- 23-41
- ISSN
- 0082-0717 (ISSN-L)
- 2324-707X
- OpenAlex
- W4214757195
- Cited by
- 183
- References
- 0
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 5 · 2023: 4 · 2022: 8 · 2021: 4 · 2020: 6 · 2019: 6 · 2018: 6 · 2017: 10 · 2016: 7 · 2015: 10 · 2014: 4 · 2013: 6 · 2012: 10
- Type
- other
- Language
- en
- Open access
- closed
- Locations
- Proceedings of symposia in pure mathematics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Topology and Set Theory
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
- Keywords
- topological entropy, Axiom A, hyperbolicity, dynamical systems
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.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Topological entropy and Axiom A. https://app.cochat.ai/papers/10.1090/pspum/014/9986
- The paper
- Bowen, R. (1970). Topological entropy and Axiom A. Proceedings of Symposia in Pure Mathematics. https://doi.org/10.1090/pspum/014/9986
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.
