The DOI matches its Crossref record.
Fractals, chaos, power laws: minutes from an infinite paradise
Abstract
Self-similarity is a profound concept that shapes many of the laws governing nature and underlying human thought. It is a property of widespread scientific importance and is at the centre of much of the recent work in chao fractals, and other areas of current research and popular interest. Self-similarity is related to symmetry analysis is an attribute of many physical laws: particle physics and those governing Newton's laws of gravitation. Symmetry, found throughout the biological universe, is also a basic property of the mathematical universe. In this book the author explores the idea's of scaling, self-similarity, chaos. and fractals as they appear throughout the universe of pure and applied mathematics. Because of his formidable research experience, stretching from the acoustical modelling of concert halls to pure number theory, Schroeder is able to take the reader on an intellectual excursion through this vast forest of topics. Requires a basic familiarity with undergraduate mathematics and elementary physics.
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
Early-warning signals for critical transitions
Scheffer, M., Bascompte, J., Brock, W. A., Brovkin, V., Carpenter, S. R., Dakos, V., Held, H., van Nes, E. H., Rietkerk, M., & Sugihara, G. (2009) · Nature · doi:10.1038/nature08227 · Cited by 4,854
Graphs over time: densification laws, shrinking diameters and possible explanations
Leskovec, J., Kleinberg, J., & Faloutsos, C. (2005) · Proceedings of the eleventh ACM SIGKDD international conference on Knowledge discovery in data mining · doi:10.1145/1081870.1081893 · Cited by 2,281
Feelings change: Accounting for individual differences in the temporal dynamics of affect.
Kuppens, P., Oravecz, Z., & Tuerlinckx, F. (2010) · Journal of Personality and Social Psychology · doi:10.1037/a0020962 · Cited by 543
The TV-tree: An index structure for high-dimensional data
Lin, K.-I., Jagadish, H. V., & Faloutsos, C. (1994) · The VLDB Journal · doi:10.1007/bf01231606 · Cited by 494
Fritton, S. P., J. McLeod, K., & Rubin, C. T. (2000) · Journal of Biomechanics · doi:10.1016/s0021-9290(99)00210-9 · Cited by 401
Metadata
- Venue
- Choice Reviews Online
- Publisher
- American Library Association
- Published
- 1992-01-01
- Volume
- 29
- Issue
- 05
- Pages
- 29-2770-29-2770
- ISSN
- 0009-4978 (ISSN-L)
- 1523-8253
- OpenAlex
- W2086345215
- Cited by
- 811
- References
- 0
- Type
- book review
- 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: Fractals, chaos, power laws: minutes from an infinite paradise. https://app.cochat.ai/papers/10.5860/choice.29-2770
- The paper
- Fractals, chaos, power laws: minutes from an infinite paradise. (1992). Choice Reviews Online. https://doi.org/10.5860/choice.29-2770
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.
