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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 313–322 (Mi znsl4393)  
Combinatorial and algorithmic methods

Laws of large numbers and the central limit theorem for sequences of coefficients of rotational expansions

N. A. Sidorov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (384 kB)
Abstract: For rotational expansions introduced in [1], conditions under which the law of large numbers, the strong law of large numbers, or the central limit theorem hold for Markov sequences of coefficients, are found. Answers are given in terms of the rate of growth of the quotients $a_n$. Bibliography: 8 titles.
Received: 20.04.1995
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 6, Pages 4180–4186
DOI: https://doi.org/10.1007/BF02355811
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: N. A. Sidorov, “Laws of large numbers and the central limit theorem for sequences of coefficients of rotational expansions”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Zap. Nauchn. Sem. POMI, 223, POMI, St. Petersburg, 1995, 313–322; J. Math. Sci. (New York), 87:6 (1997), 4180–4186
Citation in format AMSBIB
\Bibitem{Sid95}
\by N.~A.~Sidorov
\paper Laws of large numbers and the central limit theorem for sequences of coefficients of rotational expansions
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 223
\pages 313--322
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4393}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374326}
\zmath{https://zbmath.org/?q=an:0909.60034|0887.60032}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 6
\pages 4180--4186
\crossref{https://doi.org/10.1007/BF02355811}
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