RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 519.21

Received: 20.04.1995


 English version:
Journal of Mathematical Sciences (New York), 1997, 87:6, 4180–4186

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025