9 citations · 16 across the 8 of their papers we have counts for
9 papers
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…
Data analysis and the metric evolution of hypergraphs
Dalma Bilbao, Hugo Aimar, Diego M. Mateos
In this paper we aim to use different metrics in the Euclidean space and Sobolev type metrics in function spaces in order to produce reliable parameters for the differentiation of…
A graph complexity measure based on the spectral analysis of the Laplace operator
Diego M. Mateos, Federico Morana, Hugo Aimar
In this work we introduce a concept of complexity for undirected graphs in terms of the spectral analysis of the Laplacian operator defined by the incidence matrix of the graph. Pr…
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…
Heavy tailed approximate identities and -stable Markov kernels
Hugo Aimar, Ivana Gómez, Federico Morana
The aim of this paper is to present some results relating the properties of stability, concentration and approximation to the identity of convolution through not necessarily mollif…
Nonlocal Schrödinger equations in metric measure spaces
Marcelo Actis, Hugo Aimar, Bruno Bongioanni +1
In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrödinger equations on spaces of homogeneous type. We prove the a…