ASSOUAD-MINIMALITY OF MORAN SETS UNDER QUASI-LIPSCHITZ MAPPINGS
Sign Up to like & getrecommendations! Published in 2017 at "Fractals"
DOI: 10.1142/s0218348x17500372
Abstract: The quasi-Lipschitz mappings, weaker than the bi-Lipschitz mappings, preserve Hausdorff, packing and box dimensions, but change Assouad dimension dimA(⋅). In this paper, for Moran fractals, we investigate the change of their Assouad dimension under the… read more here.
Keywords: lipschitz mappings; quasi lipschitz; assouad dimension; moran sets ... See more keywords
Intermediate Value Property for the Assouad Dimension of Measures
Sign Up to like & getrecommendations! Published in 2020 at "Analysis and Geometry in Metric Spaces"
DOI: 10.1515/agms-2020-0106
Abstract: Abstract Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dimA X, then for all s > dimA X, X supports measures with Assouad dimension… read more here.
Keywords: dimension; property assouad; intermediate value; assouad dimension ... See more keywords