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

Fabrice Baudoin; Li Chen

doi:10.1016/j.spa.2023.05.005

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

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Stochastic Processes and Their Applications
Vol/bind	162
Sider (fra-til)	593-616
Antal sider	24
ISSN	0304-4149
DOI	https://doi.org/10.1016/j.spa.2023.05.005
Status	Udgivet - aug. 2023
Udgivet eksternt	Ja

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title = "Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations",

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.",

author = "Fabrice Baudoin and Li Chen",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",

year = "2023",

month = aug,

doi = "10.1016/j.spa.2023.05.005",

language = "English",

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T1 - Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations

AU - Baudoin, Fabrice

AU - Chen, Li

PY - 2023/8

Y1 - 2023/8

N2 - 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.

AB - 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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U2 - 10.1016/j.spa.2023.05.005

DO - 10.1016/j.spa.2023.05.005

M3 - Journal article

AN - SCOPUS:85161001697

SN - 0304-4149

VL - 162

SP - 593

EP - 616

JO - Stochastic Processes and Their Applications

JF - Stochastic Processes and Their Applications

ER -

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

Abstract

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