Uniqueness and convergence of resistance forms on unconstrained Sierpinski carpets

Shiping Cao, Hua Qiu

We prove the uniqueness of self-similar $D_4$-symmetric resistance forms on unconstrained Sierpinski carpets ($\mathcal{U}\mathcal{SC}$'s). Moreover, on a sequence of $\mathcal{U}\mathcal{SC}$'s $K_n,…