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Functional envelope of Cantor spaces

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0 Published in 2017 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-016-6130-y

Abstract: Given a topological dynamical system (X, T), where X is a compact metric space and T a continuous selfmap of X. Denote by S(X) the space of all continuous selfmaps of X with the compactopen… read more here.

Keywords: subset cantor; closed subset; cantor; functional envelope ... See more keywords

Waring-Hilbert problem on Cantor sets

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1 Published in 2021 at "Expositiones Mathematicae"

DOI: 10.1016/j.exmath.2021.03.004

Abstract: Abstract Analogs of Waring-Hilbert problem on Cantor sets are explored. The focus of this paper is on the Cantor ternary set C . It is shown that, for each m ≥ 3 , every real… read more here.

Keywords: problem cantor; cantor; waring hilbert; hilbert problem ... See more keywords

Stable intersection of affine Cantor sets defined by two expanding maps

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1 Published in 2019 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2018.08.023

Abstract: Abstract It is shown that in the context of affine Cantor sets with two increasing maps, the arithmetic sum of both of its elements is a Cantor set otherwise, it is a closure of countable… read more here.

Keywords: cantor; cantor sets; intersection affine; affine cantor ... See more keywords

A new simple family of Cantor sets in R3 all of whose projections are one-dimensional

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1 Published in 2021 at "Topology and its Applications"

DOI: 10.1016/j.topol.2020.107452

Abstract: Abstract In 1994, J. Cobb described a Cantor set in R 3 each of whose projections into 2-planes is one-dimensional. A series of works by other authors developing this field followed. We present another very… read more here.

Keywords: new simple; whose projections; cantor; cantor sets ... See more keywords

On intrinsic and extrinsic rational approximation to Cantor sets

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1 Published in 2021 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2020.7

Abstract: We establish various new results on a problem proposed by Mahler [Some suggestions for further research. Bull. Aust. Math. Soc. 29 (1984), 101–108] concerning rational approximation to fractal sets by rational numbers inside and outside… read more here.

Keywords: rational approximation; cantor; cantor sets; fractal sets ... See more keywords

New Complex Alloys Push the Limits of Materials

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1 Published in 2021 at "ACS Central Science"

DOI: 10.1021/acscentsci.1c01060

Abstract: The first time that materials scientist Brian Cantor took a stab at mixing a lot of different elements together was in 1980. Then a lecturer at the University of Sussex, Cantor wondered why metallurgists focused… read more here.

Keywords: alloys push; cantor; materials scientist; new complex ... See more keywords

Volume of the hyperbolic cantor sets

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1 Published in 2019 at "Dynamical Systems"

DOI: 10.1080/14689367.2019.1659754

Abstract: ABSTRACT In this paper, we study hyperbolic Cantor sets on the line. We prove that the Lebesgue measure of a hyperbolic Cantor set generated by a degree two expanding map satisfying a certain Zygmund condition… read more here.

Keywords: volume hyperbolic; cantor sets; hyperbolic cantor; cantor ... See more keywords

Observations on the Ultrastructure of Antennal Sensilla of Adult Glenea cantor (Cerambycidae: Lamiinae)

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0 Published in 2020 at "Journal of Insect Science"

DOI: 10.1093/jisesa/ieaa013

Abstract: Abstract The external morphology and distribution of antennal sensilla of Glenea cantor Fabricius were studied with scanning electron microscopy. The antennae of G. cantor were observed to be filiform, consisting of scape, pedicel, and flagellum… read more here.

Keywords: sensilla; glenea cantor; cantor; antennal sensilla ... See more keywords

Cantor: Improving Goodput in LoRa Concurrent Transmission

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0 Published in 2021 at "IEEE Internet of Things Journal"

DOI: 10.1109/jiot.2020.3013315

Abstract: Long range (LoRa) is an attractive low-power wide-area networks (LPWANs) technology for its features of low power, long range, and support for concurrent transmission. Our study reveals LoRa concurrent transmission suffer from the mismatch between… read more here.

Keywords: cantor; lora concurrent; concurrent transmission; goodput lora ... See more keywords

Diffusion on Middle-ξ Cantor Sets

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1 Published in 2018 at "Entropy"

DOI: 10.3390/e20070504

Abstract: In this paper, we study Cζ-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions with fractal support are not differentiable or integrable in terms of standard… read more here.

Keywords: middle cantor; cantor sets; diffusion middle; cantor ... See more keywords