Fractional stable random fields on the Sierpiński gasket

Fabrice Baudoin, Céline Lacaux

Publikation: Working paper/Preprint Preprint

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Abstract

We define and study fractional stable random fields on the Sierpiński gasket. Such fields are formally defined as (−Δ)−sWK,α, where Δ is the Laplace operator on the gasket and WK,α is a stable random measure. Both Neumann and Dirichlet boundary conditions for Δ are considered. Sample paths regularity and scaling properties are obtained. The techniques we develop are general and extend to the more general setting of the Barlow fractional spaces.

OriginalsprogEngelsk
Vol/bind178
DOI
StatusUdgivet - 16 jan. 2024

Emneord

  • math.PR

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