Multifractal analysis of the power-2-decaying Gauss-like expansion

Each real number x∈[0,1] admits a unique power-2-decaying Gauss-like expansion (P2GLE for short) as x=∑i∈N2−(d1(x)+d2(x)+⋯+di(x)), where di(x)∈N. For any x∈(0,1], the Khintchine exponent γ(x) is defined by γ(x):=limn→∞⁡1n∑j=1ndj(x) if the limit exists. We investigate the sizes of the level sets E(ξ)...

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Bibliographic Details

Published in:	Journal of mathematical analysis and applications Vol. 542; no. 1; p. 128834
Main Author:	Wang, Xue-Jiao
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.02.2025
Subjects:	Hausdorff dimension Khintchine spectrum Lyapunov spectrum Khintchine spectrum Hausdorff dimension Lyapunov spectrum
ISSN:	0022-247X
Online Access:	Get full text
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