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arXiv · 1702.02866

The dyadic fractional diffusion kernel as a central limit

Hugo Aimar·Ivana Gómez·Federico Morana
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Abstract

In this paper we obtain the fundamental solution kernel of dyadic diffusions in $\mathbb{R}^+$ 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.

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Hugo Aimar, Ivana Gómez, Federico Morana. 2017-02-09. The dyadic fractional diffusion kernel as a central limit. https://arxiv.org/abs/1702.02866

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