Microlocal approach to the Hausdorff dimension of measures
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108088
Abstract: In this paper we study the dependence of geometric properties of Radon measures, such as Hausdorff dimension and rectifiability of singular sets, on the wavefront set. This is achieved by adapting the method of Brummelhuis… read more here.
Keywords: hausdorff dimension; microlocal approach; approach hausdorff; dimension ... See more keywords
Intermediate Value Property for the Assouad Dimension of Measures
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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