12 citations · 23 across the 14 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.MG2022★ 1 cited
Sobolev spaces and Poincaré inequalities on the Vicsek fractal
Fabrice Baudoin, Li Chen
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek fractal. More precisely, we show that the metric approach of Korevaar-Schoen, the ap…
math.PR2022
Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations
Fabrice Baudoin, Li Chen
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 o…