Probability theory and related fields, 2003-08, Vol.126 (4), p.477-496
2003
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- Autor(en) / Beteiligte
- Titel
- Exact packing dimension in random recursive constructions
- Ist Teil von
- Probability theory and related fields, 2003-08, Vol.126 (4), p.477-496
- Ort / Verlag
- Heidelberg: Springer
- Erscheinungsjahr
- 2003
- Quelle
- EBSCOhost Business Source Ultimate
- Beschreibungen/Notizen
- We explore the exact packing dimension of certain random recursive constructions. In case of polynomial decay at 0 of the distribution function of random variable <X<, associated with the construction, we prove that it does not exist, and in case of exponential decay it is <t<<<[alpha]<<|log|log<t<||<[beta]<, where [alpha] is the fractal dimension of the limit set and 1/[beta] is the rate of exponential decay.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0178-8051eISSN: 1432-2064DOI: 10.1007/s00440-003-0281-3Titel-ID: cdi_proquest_journals_2661274991
- Format
- –
- Schlagworte
- Algebra, Construction, Decay rate, Distribution functions, Exact sciences and technology, Fractal geometry, Fractals, Geometric probability. Stochastic geometry. Random sets, Markov processes, Mathematical analysis, Mathematics, Measure and integration, Polynomials, Probability, Probability and statistics, Probability theory and stochastic processes, Random variables, Sciences and techniques of general use