The Hausdorff Dimension is Convex on the Left Side of 1/4
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000481
Abstract: Abstract Let d(c) denote the Hausdorff dimension of the Julia set Jc of the polynomial fc (z) = z 2 +c. The function c ↦ d(c) is real-analytic on the interval (–3/4, 1/4), which is… read more here.
Keywords: hausdorff dimension; dimension convex; convex left; left side ... See more keywords
On the Fractional Metric Dimension of Convex Polytopes
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/3925925
Abstract: In order to identify the basic structural properties of a network such as connectedness, centrality, modularity, accessibility, clustering, vulnerability, and robustness, we need distance-based parameters. A number of tools like these help computer and chemical… read more here.
Keywords: dimension convex; metric dimension; fractional metric; convex polytopes ... See more keywords