English

The dyadic fractional diffusion kernel as a central limit

Analysis of PDEs 2017-02-10 v1

Abstract

In this paper we obtain the fundamental solution kernel of dyadic diffusions in R+\mathbb{R}^+ as a Central Limit of dyadic mollification of iterations of stable Markov kernels. The main tool is provided by the substitution of classical Fourier analysis by Haar wavelet analysis.

Cite

@article{arxiv.1702.02866,
  title  = {The dyadic fractional diffusion kernel as a central limit},
  author = {Hugo Aimar and Ivana Gómez and Federico Morana},
  journal= {arXiv preprint arXiv:1702.02866},
  year   = {2017}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-22T18:13:59.653Z