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

Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations
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DOI:
10.1016/j.spa.2023.05.005
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发表时间:
2022-01
影响因子:
1.4
通讯作者:
F. Baudoin;Li Chen
F. Baudoin;Li Chen
中科院分区:
数学3区
文献类型:
--
作者:
F. Baudoin;Li Chen

文献摘要

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定义并研究了Sierpinski垫片上的Dirichlet分数高斯场,证明了它们是定义在正则逼近图序列上的分数离散高斯场的极限.
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.