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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…
math.PR2021
Some relation between spectral dimension and Ahlfors regular conformal dimension on infinite graphs
Kôhei Sasaya
The spectral dimension of a weighted graph is an exponent associated with the asymptotic behavior of the random walk on the graph. The Ahlfors regular conformal dimension $\d…