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

2022/01/11 by Fabrice Baudoin, Li Chen, Baudoin, Fabrice +1
Computer Science · Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2201.03970

openalex publication_date 2022/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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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