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On finite limit sets for transformations on the unit interval
Open accessAbstract
Abstract An infinite sequence of finite or denumerable limit sets is found for a class of many-to-one transformations of the unit interval into itself. Examples of four different types are studied in some detail; tables of numerical results are included. The limit sets are characterized by certain patterns; an algorithm for their generation is described and established. The structure and order of occurrence of these patterns is universal for the class.
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Citations
Cited by
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Symbolic dynamics approach to parameter estimation without initial value
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Metadata
- Authors
- Metropolis, N., Stein, M. L., & Stein, P. R.
- Venue
- Journal of Combinatorial Theory, Series A
- Publisher
- Elsevier BV
- Published
- 1973-07
- Volume
- 15
- Issue
- 1
- Pages
- 25-44
- ISSN
- 0097-3165 (ISSN-L)
- OpenAlex
- W2050592460
- Cited by
- 602
- References
- 0
- FWCI
- 2.42
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: On finite limit sets for transformations on the unit interval. https://app.cochat.ai/papers/10.1016/0097-3165(73)90033-2
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- Metropolis, N., Stein, M. L., & Stein, P. R. (1973). On finite limit sets for transformations on the unit interval. Journal of Combinatorial Theory, Series A. https://doi.org/10.1016/0097-3165(73)90033-2
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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