Results 21 to 30 of about 122,847 (179)
Stable intersections of conformal Cantor sets [PDF]
Ergodic Theory and Dynamical Systems, 2021 AbstractWe investigate stable intersections of conformal Cantor sets and their consequences to dynamical systems. First we define this type of Cantor set and relate it to horseshoes appearing in automorphisms of $\mathbb {C}^2$ . Then we study limit geometries, that is, objects related to the asymptotic shape of the Cantor sets, to obtain a criterion ...
Araújo, Hugo, Moreira, Carlos Gustavo
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Fractional Diffusion to a Cantor Set in 2D
Fractal and Fractional, 2020 A random walk on a two dimensional square in R2 space with a hidden absorbing fractal set Fμ is considered. This search-like problem is treated in the framework of a diffusion–reaction equation, when an absorbing term is included inside a Fokker–Planck ...
Alexander Iomin, Trifce Sandev
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Weakly Equilibrium Cantor-type Sets [PDF]
Potential Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Design of Soret Zone Plates Based on Binary Sequences Using Directional Transducers
Sensors, 2021 In this work, we analyze the effect of the distribution of transparent Fresnel regions over the focusing profile of Soret Zone Plates (SZP) based on binary sequences. It is shown that this effect becomes very significant in those fields where directional
Pilar Candelas +2 more
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A note on small sets of reals [PDF]
, 2018 We construct a combinatorially large measure zero subset of the Cantor ...
Bartoszynski, Tomek, Shelah, Saharon
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Topology and its Applications, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gutev, V. +3 more
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Dimensions of subsets of cantor-type sets
International Journal of Mathematics and Mathematical Sciences, 2006 We define the Cantor-type set E first, and then the Besicovitch subset Bp of E. We mainly show the dimensions of subsets of Cantor-type set E in compatible case and incompatible case.
Fang-Xiong Zhen
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Cantor Paradoxes, Possible Worlds and Set Theory
Mathematics, 2019 In this paper, we illustrate the paradox concerning maximally consistent sets of propositions, which is contrary to set theory. It has been shown that Cantor paradoxes do not offer particular advantages for any modal theories.
José-Luis Usó-Doménech +4 more
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A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals
Mathematics, 2021 How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure.
Mohsen Soltanifar
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Squeezing functions and Cantor sets [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020 We construct "large" Cantor sets whose complements resemble the unit disk arbitrarily well from the point of view of the squeezing function, and we construct "large" Cantor sets whose complements do not resemble the unit disk from the point of view of the squeezing function.
Arosio, L +3 more
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