Self-similar sets. V. Integer matrices and fractal tilings of 𝑅ⁿ-Reference-Cited by-同舟云学术

Self-similar sets. V. Integer matrices and fractal tilings of 𝑅ⁿ

Published:1991 Issue:2 Volume:112 Page:549-562
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bandt Christoph

Abstract

Tilings with self-similar tiles and "just-touching fractals" are constructed from matrices of integers, extending work by Levy, Mandelbrot, Dekking, Bedford, and others.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1991-112-02/S0002-9939-1991-1036982-1/S0002-9939-1991-1036982-1.pdf

Reference19 articles.

1. Self-similar sets. I. Topological Markov chains and mixed self-similar sets;Bandt, Christoph;Math. Nachr.,1989

2. Self-similar sets. III. Constructions with sofic systems;Bandt, Christoph;Monatsh. Math.,1989

3. Brownian motion on the Sierpiński gasket;Barlow, Martin T.;Probab. Theory Related Fields,1988

4. Generating special Markov partitions for hyperbolic toral automorphisms using fractals;Bedford, Tim;Ergodic Theory Dynam. Systems,1986

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