منابع مشابه
Phase Transitions on Sierpinski Fractals
The present paper focuses on the order-disorder transition of an Ising model on a self-similar lattice. We present a numerical study, based on the Monte Carlo method in conjunction with the finite size scaling method, of the critical properties of the Ising model on a two dimensional deterministic fractal lattice of Hausdorff dimension dH = ln 8/ ln 3 = 1.89278926.... We give evidence of the ex...
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für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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We survey the application of contraction mapping argments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.
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The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1983
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.69.65