Results 11 to 20 of about 957,336 (307)
Bilinear Fractal Interpolation and Box Dimension
Journal of Approximation Theory, 2014 In the context of general iterated function systems (IFSs), we introduce bilinear fractal interpolants as the fixed points of certain Read-Bajraktarevi\'{c} operators.
Barnsley, Michael F. +1 more
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Inhomogeneous self-similar sets and box dimensions [PDF]
Studia Mathematica, 2012 We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mild separation conditions.
Fraser, Jonathan M.
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The Discrepancy of Boxes in Higher Dimension [PDF]
Discrete & Computational Geometry, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernard Chazelle, Alexey Lvov
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Box dimension, oscillation and smoothness in function spaces [PDF]
Journal of Function Spaces and Applications, 2005 The aim of this paper is twofold. First we relate upper and lower box dimensions with oscillation spaces, and we develop embeddings or inclusions between oscillation spaces and Besov spaces.
Abel Carvalho
doaj +3 more sources
Box ladders in a noninteger dimension [PDF]
Theoretical and Mathematical Physics, 2013 We construct a family of triangle-ladder diagrams which may be calculated by making use of Belokurov-Usyukina loop reduction technique in d = 4 -2e dimensions. The main idea of the approach proposed in the present paper consists in generalization of this loop reduction technique existing in d = 4 dimensions.
Ivan Gonzalez +3 more
openaire +9 more sources
, 2022 23 pages, 1 figure, accepted for presentation at SoCG ...
Dvorák, Z. +4 more
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A hairy box in three dimensions
Nuclear Physics B, 2020 In this short note, we consider the phases of gravity coupled to a $U(1)$ gauge field and charged scalar in 2+1 dimensions without a cosmological constant, but with box boundary conditions. This is an extension of the results in arXiv:1609.01208, but unlike in higher dimensions, here the physics has sharp differences from the corresponding AdS problem.
Chethan Krishnan +2 more
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Assouad dimension influences the box and packing dimensions of orthogonal projections [PDF]
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021 We present several applications of the Assouad dimension, and the related quasi-Assouad dimension and Assouad spectrum, to the box and packing dimensions of orthogonal projections of sets. For example, we show that if the (quasi-)Assouad dimension of F \subseteq\mathbb{R}^n is no ...
Falconer, Kenneth John +2 more
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Ecology and Evolution, 2021 Tree functional traits together with processes such as forest regeneration, growth, and mortality affect forest and tree structure. Forest management inherently impacts these processes.
Ninni Saarinen +8 more
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Visibility representations of boxes in 2.5 dimensions [PDF]
Computational Geometry, 2016 We initiate the study of 2.5D box visibility representations (2.5D-BR) where vertices are mapped to 3D boxes having the bottom face in the plane $z=0$ and edges are unobstructed lines of sight parallel to the $x$- or $y$-axis. We prove that: $(i)$ Every complete bipartite graph admits a 2.5D-BR; $(ii)$ The complete graph $K_n$ admits a 2.5D-BR if and ...
Arleo, Alessio +9 more
openaire +4 more sources