2021/09/27 by Shiping Cao, Cao, Shiping, Hua Qiu +1
Mathematics · #28A80 #31E05 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #math.FA #math.PR #msc:28A80 #msc:31E05
paper · pdf · doi:10.48550/arxiv.2109.12760
10 pages, 3 figures
arxiv created 2021/09/27 · arxiv updated 2021/09/28
We construct a Sierpinski carpet like fractal, on which a self-similar diffusion with sub-Gaussian heat kernel estimate does not exist, in contrast to previous researches on the existence of such diffusions, on the generalized Sierpinski carpets and recently introduced unconstrained Sierpinski carpets.