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Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations

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arxiv 2201.03970 v2 pith:G3R3PDBF submitted 2022-01-11 math.PR

Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations

classification math.PR
keywords fieldsfractionalgaussiandirichletdiscretegasketsierpinskiapproximating
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We define and study the Dirichlet fractional Gaussian fields on the Sierpinski gasket and show that they are limits of fractional discrete Gaussian fields defined on the sequence of canonical approximating graphs.

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