Geodesic
The dyadic fractional diffusion kernel as a central limit
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 235-255.

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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.
DOI : 10.21136/CMJ.2018.0274-17
Classification : 35R11, 60F05, 60G52
Keywords: central limit theorem; dyadic diffusion; fractional diffusion; stable process; wavelet analysis 
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Aimar, Hugo; Gómez, Ivana; Morana, Federico. The dyadic fractional diffusion kernel as a central limit. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 235-255. doi : 10.21136/CMJ.2018.0274-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0274-17/

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