5 papers
Weakly porous sets and Muckenhoupt weights in spaces of homogeneous type
Hugo Aimar, Ivana Gómez, Ignacio Gómez Vargas
In this work we characterize the sets for which there is some such that the function belongs to the Muckenhoupt class , where $(X,d…
On the evolution of topological connectivity by thresholding of affinities. An application to public transport
Hugo Aimar, Carlos Exequiel Arias, Ivana Gómez
In this paper we use the neighborhood topology generated by affinities between pairs of points in a set, in orden to explore the underlying dynamics of connectivity by thresholding…
Fisher-Riemann geometry for nonparametric probability densities
Hugo Aimar, Aníbal Chicco Ruiz, Ivana Gómez
In this article we aim to obtain the Fisher Riemann geodesics for nonparametric families of probability densities as a weak limit of the parametric case with increasing number of p…
Uniform spaces and the Newtonian structure of (big)data affinity kernels
Hugo Aimar, Ivana Gómez
Let be a (data) set. Let be a measure of the affinity between the data points and . We prove that has the structure of a Newtonian potential $K(x,y)=φ(d(x…
Harnack's Inequality and A Priori Estimates for Fractional Powers of Non-symmetric Differential Operators
Hugo Aimar, Gastón Beltritti, Ivana Gómez +1
We obtain a new general extension theorem in Banach spaces for operators which are not required to be symmetric, and apply it to obtain Harnack estimates and a priori regularity fo…