2 papers
math.PR2026
Connective Constants on Nested Fractal Graphs
Hua Qiu, Yifan Wang
We study self-avoiding walks on the canonical one-sided graphs of Lindstrom nested fractals. We prove that the connective constant exists and identify with the critical…
math.DS2026
Self-similar Dirichlet form on pillow-type carpets--a short analytic construction
Shiping Cao, Hua Qiu, Yizhou Wang
We give a short, self-contained analytic proof of the existence of self-similar Dirichlet forms on pillow-type carpets, a family of infinitely ramified fractals that includes the S…