Results 51 to 60 of about 1,640 (101)
Multidimensional self-affine sets: non-empty interior and the set of uniqueness
, 2016 Let $M$ be a $d\times d$ contracting matrix. In this paper we consider the self-affine iterated function system $\{Mv-u, Mv+u\}$, where $u$ is a cyclic vector.
Hare, Kevin G., Sidorov, Nikita
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Assouad dimension of self-affine carpets
, 2011 We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.Comment: 10 pages, 3 ...
Mackay, John M.
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Some connections between the attractors of an IIFS S and the attractors of the sub-IFSs of S
, 2012 Based on the results from (Mihail and Miculescu in Math. Rep., Bucur. 11(61)(1):21-32, 2009), where the shift space for an infinite iterated function system (IIFS for short) is defined and the relation between this space and the attractor of the IIFS is ...
R. Miculescu, Loredana Ioana
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Additive spectra of the 1/4 Cantor measure [PDF]
, 2013 In this paper, we add to the characterization of the Fourier spectra for Bernoulli convolution measures. These measures are supported on Cantor subsets of the line.
Jorgensen, Palle E. T. +2 more
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Spectral measures with arbitrary Hausdorff dimensions
, 2014 In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and ...
Dai, Xin-Rong, Sun, Qiyu
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Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
Analysis and Geometry in Metric Spaces, 2017 We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes.
Joseph Matthieu, Rajala Tapio
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Regularity results for p-Laplacians in pre-fractal domains
Advances in Nonlinear Analysis, 2018 We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal
Capitanelli Raffaela +2 more
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The strong maximum principle for Schrödinger operators on fractals
Demonstratio Mathematica, 2019 We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary.
Ionescu Marius V. +2 more
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On bivariate fractal interpolation for countable data and associated nonlinear fractal operator
Demonstratio MathematicaFractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar +2 more
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IFSs consisting of generalized convex contractions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we introduce the concept of iterated function system consisting of generalized convex contractions. More precisely, given n ∈ ℕ*, an iterated function system consisting of generalized convex contractions on a complete metric space (X; d) is
Georgescu Flavian
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