On new fractal phenomena connected with infinite linear IFS-Reference-Cited by-同舟云学术

On new fractal phenomena connected with infinite linear IFS

Published:2016-11-18 Issue:8-9 Volume:290 Page:1163-1176
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Math. Nachr.

Author:

Albeverio Sergio¹,Kondratiev Yuri²,Nikiforov Roman³,Torbin Grygoriy⁴^ORCID

Affiliation:

1. Institut für Angewandte Mathematik; Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany; HCM, Bonn, Germany; BiBoS, Bielefeld-Bonn, Germany; CERFIM; Locarno, Switzerland; IZKS, Bonn Germany

2. Fakultät für Mathematik; Universität Bielefeld, Postfach 10 01 31; 33501 Bielefeld Germany; BiBoS, Bielefeld-Bonn Germany

3. National Dragomanov University; , Pyrogova 9, 01601 Kyiv, Ukraine; Institute of Mathematics of the Polish Academy of Science, Śniadeckich 8; 00-656 Warsaw Poland

4. National Dragomanov University; , Pyrogova 9, 01601 Kyiv, Ukraine; Institute for Mathematics of National Academy of Sciences of Ukraine, Tereshchenkivs'ka 3; 01601 Kyiv Ukraine

Funder

Simons Foundation

Publisher

Wiley

Subject

General Mathematics

Reference47 articles.

1. The Statistical Mechanics of Quantum Lattice Systems

2. On fractal properties of non-normal numbers with respect to Rényi f-expansions generated by piecewise linear functions;Albeverio;Bull. Sci. Math.,2014

3. Non-normal numbers: Full Hausdorff dimensionality vs zero dimensionality;Albeverio;Bull. Sci. Math.

4. Fractal properties of singularly continuous probability distributions with independent Q∗-digits;Albeverio;Bull. Sci. Math.,2005

5. Topological and fractal properties of real numbers which are not normal;Albeverio;Bull. Sci. Math.,2005

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