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math.AP2023
Large-scale homogeneity and isotropy versus fine-scale condensation. A model based on Muckenhoupt type densities
Hugo Aimar, Federico Morana
In this brief note we aim to provide, through a well known class of singular densities in harmonic analysis, a simple approach to the fact that the homogeneity of the universe on s…
math.AP2023
On the structure of the diffusion distance induced by the fractional dyadic Laplacian
María Florencia Acosta, Hugo Aimar, Ivana Gómez +1
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 , the diffusion…
math.AP2017
The dyadic fractional diffusion kernel as a central limit
Hugo Aimar, Ivana Gómez, Federico Morana
In this paper we obtain the fundamental solution kernel of dyadic diffusions in as a Central Limit of dyadic mollification of iterations of stable Markov kernels. Th…