3 problems

Let $\boldsymbol{D}$ be the random metric object in the unimodular Frostman setting, let $\mathcal H^{\alpha}_{M}(\boldsymbol{D})$ denote its unimodular Hausdorff measure, and let…

Let $[\boldsymbol{T},\boldsymbol{o}]$ be a unimodular eternal Galton–Watson tree. Suppose its offspring distribution is in the domain of attraction of an $\alpha$-stable distributi…

Let $[\boldsymbol{T},\boldsymbol{o}]$ be a unimodular tree with infinitely many ends, endowed with its graph-distance metric. Infinite-dimensionality conjecture. One has … This is…