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math.MG2022
Some inequalities between Ahlfors regular conformal dimension and spectral dimensions for resistance forms
Kôhei Sasaya
Quasisymmetric maps are well-studied homeomorphisms between metric spaces preserving annuli, and the Ahlfors regular conformal dimension of a metric space…
math.MG2021★ 2 cited
Systems of Dyadic Cubes of Complete, Doubling, Uniformly Perfect Metric Spaces without Detours
Kôhei Sasaya
Systems of dyadic cubes are the basic tools of harmonic analysis and geometry, and this notion had been extended to general metric spaces. In this paper, we construct systems of dy…