CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS

DOI10.1142/S0218348X16500511zbMath1357.28008OpenAlexW2559574495MaRDI QIDQ2964176

Alexander S. Balankin, Juan Bory-Reyes, Michael V. Shapiro, Maria Elena Luna-Elizarrarás

Publication date: 23 February 2017

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x16500511

zbMATH Keywords

Cantor setSierpinski carpethyperbolic numbers

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (15)

Integration of functions of a hyperbolic variable ⋮ Effects of ramification and connectivity degree on site percolation threshold on regular lattices and fractal networks ⋮ Affine transformations of hyperbolic number plane ⋮ INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ The topological Hausdorff dimension and transport properties of Sierpiński carpets ⋮ MORE ABOUT CANTOR LIKE SETS IN HYPERBOLIC NUMBERS ⋮ Weak Formulation of the Laplacian on the Full Shift Space ⋮ The Schwarz lemma in bicomplex analysis ⋮ Sub- and super-diffusion on Cantor sets: beyond the paradox ⋮ Unnamed Item ⋮ Noteworthy fractal features and transport properties of Cantor tartans ⋮ GENERALIZED ITERATED FUNCTION SYSTEMS ON HYPERBOLIC NUMBER PLANE ⋮ Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers ⋮ Certain singular distributions and fractals ⋮ EXTENSIONS OF THE SHANNON ENTROPY AND THE CHAOS GAME ALGORITHM TO HYPERBOLIC NUMBERS PLANE

Cites Work

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• Clifford algebraic remark on the Mandelbrot set of two-component number systems
• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• Physical theories in hypercomplex geometric description
• Bicomplex Holomorphic Functions
• LIPSCHITZ EQUIVALENCE OF GENERAL SIERPINSKI CARPETS
• ANALYSIS ON A FRACTAL SET
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Chaos

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