3 problems

Let $(X,d,m,\mathcal E,\mathcal F)$ be an MMD space, and let $d_m$ denote the martingale dimension of its associated diffusion. Suppose that $(X,d,m,\mathcal E,\mathcal F)$ satisfi…

Let $(X,d,m,\mathcal E,\mathcal F)$ be an MMD space. Suppose it satisfies sub-Gaussian heat kernel estimates with volume growth exponent $\alpha$ and walk dimension $\beta$, and le…

Let $(X,d,m,\mathcal E,\mathcal F)$ be an MMD space, meaning a metric measure Dirichlet space equipped with the associated diffusion. Suppose it satisfies sub-Gaussian heat kernel…