FRACTAL SUBSERIES OF THE HARMONIC SERIES (original) (raw)

On new fractal phenomena connected with infinite linear IFS

Yuri Kondratiev

Mathematische Nachrichten, 2016

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Complex dimensions of fractal strings and oscillatory phenomena in fractal geometry and arithmetic

Michel L Lapidus

Contemporary Mathematics, 1999

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Divergence of the mock and scrambled Fourier series on fractal measures

Deguang Han

Transactions of the American Mathematical Society, 2013

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ANALYSIS ON A FRACTAL SET

Dhurjati Datta

Fractals-complex Geometry Patterns and Scaling in Nature and Society, 2009

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Fractal and statistical analysis on digits of irrational numbers

Dejian Lai

Chaos, Solitons & Fractals, 2008

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Iterated harmonic numbers

Angel Plaza

arXiv (Cornell University), 2023

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The fractal structure of rarefied sums of the Thue-Morse sequence

Sheldon Goldstein

Journal of Number Theory, 1992

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Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation

Michel L Lapidus

Experimental Mathematics, 2003

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On the exact rate of convergence of frequencies of digits in self-similar sets

Lars Olsen

Indagationes Mathematicae, 2006

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Fractal Images as Number Sequences I An Introduction

Arie Bos

arXiv (Cornell University), 2022

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The Sound of Fractal Strings and the Riemann Hypothesis

Michel L Lapidus

Analytic Number Theory, 2015

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Bessel sequences of exponentials on fractal measures

Deguang Han

Journal of Functional Analysis, 2011

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The Complexity of Sequences Generated by the Arc-Fractal System

Hoài Anh Huỳnh

PLOS ONE, 2015

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Orthogonal harmonic analysis and scaling of fractal measures

Palle Jorgensen

1999

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Random fractal strings: their zeta functions, complex dimensions and spectral asymptotics

Michel L Lapidus

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Fractal digital sums and codes

Robert Tichy

Applicable Algebra in Engineering, Communication and Computing, 1997

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A Nonconventional Strong Law of Large Numbers and Fractal Dimensions of Some Multiple Recurrence Sets

Yuri Kifer

Stochastics and Dynamics, 2012

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Fractal Construction by Orthogonal Projection Using the Fibonacci Sequence

George Grossman

Fibonacci Quarterly

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Subsums of the Harmonic Series

Brian Lubeck

The American Mathematical Monthly, 2018

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Applications of multifractal divergence points to some sets of d-tuples of numbers defined by their N-adic expansion

Lars Olsen

Bulletin des Sciences Mathématiques, 2004

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Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality

Michel L Lapidus

Journal of Fractal Geometry, 2018

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Affine fractals as boundaries and their harmonic analysis

Palle Jorgensen

Proceedings of the American Mathematical Society, 2011

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Best simultaneous diophantine approximations of Pisot numbers and Rauzy fractals

Jeffrey Lagarias

Acta Arithmetica, 2006

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Harmonic analysis of fractal measures

Palle Jorgensen

Constructive Approximation, 1996

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The Unexpected Fractal Signatures in Fibonacci chain

Klee Irwin

MDPI Fractals and Fractionals , 2019

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Computing impossible things : the harmonic measure of fractals

Máté Nagy

2011

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