English

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

Probability 2023-05-12 v2

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.

Keywords

Cite

@article{arxiv.2201.03970,
  title  = {Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations},
  author = {Fabrice Baudoin and Li Chen},
  journal= {arXiv preprint arXiv:2201.03970},
  year   = {2023}
}

Comments

v2: Accepted version, to appear in Stoch. Proc. Appl