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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…
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…
Continuous time random walks and the Cauchy problem for the heat equation
Hugo Aimar, Gastón Beltritti, Ivana Gómez
In this paper we deal with anomalous diffusions induced by Continuous Time Random Walks - CTRW in . A particle moves in in such a way that the probabil…