The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Iterated random functions
Abstract
This chapter aims to stochastic processes defined in terms of iterations of random functions. It illustrates the models in biology with ancestral type evolution processes, as well as in combinatorics and group theory with card shuffling techniques. The chapter is concerned with a series of iterated random processes arising in the construction and the analysis of fractal images. It is mainly taken from the seminal article of D. Aldous and P. Diaconis. A Cantor discontinuum subset of is a closed and nowhere dense and non-empty subset of the unit interval. Thus, the Lebesgue integral of this set is equal to zero. These "almost" empty fractal sets were introduced in 1883 by the German mathematician Georg Cantor.
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Cites
Equation of State Calculations by Fast Computing Machines
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A Bayesian Analysis of Some Nonparametric Problems
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Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance: Stochastic Modeling
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An Introduction to Probability Theory.
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(2020) · Interdisciplinary Mathematical Sciences · doi:10.1142/9789811228667_0013 · Cited by 2,127
Cited by
The geometric foundations of Hamiltonian Monte Carlo
Betancourt, M., Byrne, S., Livingstone, S., & Girolami, M. (2017) · Bernoulli · doi:10.3150/16-bej810 · Cited by 452
Metadata
- Venue
- Stochastic Processes
- Publisher
- Chapman and Hall/CRC
- Published
- 2017-02-24
- Pages
- 693-704
- OpenAlex
- W2035811299
- Cited by
- 434
- References
- 31
- FWCI
- 124.90
- Type
- book chapter
- Language
- en
- Open access
- closed
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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.
