On the structure of the diffusion distance induced by the fractional dyadic Laplacian

In this note we explore the structure of the diffusion metric of Coifman-Lafon determined by fractional dyadic Laplacians. The main result is that, for each \(t\gt 0\), the diffusion metric is a function of the dyadic distance, given in \(\mathbb{R}^+\) by \(\delta(x,y) = \inf\{|I|\colon I \text{ is...

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Bibliographic Details
Main Authors: María Florencia Acosta, Hugo Aimar, Ivana Gómez, Federico Morana
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2024-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol44/2/art/opuscula_math_4408.pdf