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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 328, Pages 20–26 (Mi znsl305)  
Dimensions of random recursive sets

A. G. Berlinkov

Saint-Petersburg State Electrotechnical University
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Abstract: We prove a theorem that generalizes equality among packing, Hausdorff and upper and lower Mikowski dimensions for a general type of random recursive construction and apply it to the constructions with finite memory. Further we prove an upper bound on the packing dimension of certain random distribution funstions on $[0,1]$.
Received: 07.10.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 139, Issue 3, Pages 6506–6509
DOI: https://doi.org/10.1007/s10958-006-0367-4
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. G. Berlinkov, “Dimensions of random recursive sets”, Probability and statistics. Part 9, Zap. Nauchn. Sem. POMI, 328, POMI, St. Petersburg, 2005, 20–26; J. Math. Sci. (N. Y.), 139:3 (2006), 6506–6509
Citation in format AMSBIB
\Bibitem{Ber05}
\by A.~G.~Berlinkov
\paper Dimensions of random recursive sets
\inbook Probability and statistics. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 328
\pages 20--26
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2214532}
\zmath{https://zbmath.org/?q=an:1104.28004}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 139
\issue 3
\pages 6506--6509
\crossref{https://doi.org/10.1007/s10958-006-0367-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750512570}
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