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New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals [Book]

Yongsheng Han, Dachun Yang (2002)

New inequalities on fractal analysis and their applications.

Chang, Der-Chen, Xu, Yong (2007)

Journal of Inequalities and Applications [electronic only]

Nonlinear dynamics and chaos in a fractional-order HIV model.

Ye, Haiping, Ding, Yongsheng (2009)

Mathematical Problems in Engineering

Normal number constructions for Cantor series with slowly growing bases

Dylan Airey, Bill Mance, Joseph Vandehey (2016)

Czechoslovak Mathematical Journal

Let $Q = {(q_{n})}_{n = 1}^{\infty}$ be a sequence of bases with $q_{i} \geq 2$ . In the case when the $q_{i}$ are slowly growing and satisfy some additional weak conditions, we provide a construction of a number whose $Q$ -Cantor series expansion is both $Q$ -normal and $Q$ -distribution normal. Moreover, this construction will result in a computable number provided we have some additional conditions on the computability of $Q$ , and from this construction we can provide computable constructions of numbers with atypical normality properties.

Numeration systems, substitution dynamical systems and Rauzy fractals.

Sirvent, Víctor F. (2004)

Boletín de la Asociación Matemática Venezolana

Numerical experiments in Fourier asymptotics of Cantor measures and wavelets.

Janardhan, Prem, Rosenblum, David, Strichartz, Robert S. (1992)

Experimental Mathematics