Asymptotic Formula for the Moments of Lebesgue’s Singular Function

Recall Lebesgue’s singular function. Imagine flipping a biased coin with probability p of heads and probability q = 1 − p of tails. Let the binary expansion of ξ ∈ [0, 1]: ξ = ∑∞ k=1 ck2−k be determined by flipping the coin infinitely many times, that is, ck = 1 if the k-th toss is heads and ck = 0 if...

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Bibliographic Details
Main Author: E. A. Timofeev
Format: Article
Language:English
Published: Yaroslavl State University 2015-10-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/287