4 problems

Let $(\mathcal{T},d_{\mathcal{T}},\mu)$ be the continuum random tree, and for $\sigma\in\mathcal{T}$ and $r>0$ define … The cited global volume estimate gives, almost surely, rando…

Let the assumptions of the preceding convergence theorem be given, with $\bar{\mathcal{T}}_n$, $Z_n$, $\bar{\mathcal{U}}_n$, $h(x)$, $\Sigma^2$, and the marked Gromov-vague and Gro…

Let $x_*$ be the phase-transition value separating the branched polymer phase, defined by $x>x_*$, from the crumpled phase, defined by $x<x_*$. Let the Continuum Random Tree (CRT)…

Scaling-limit conjecture. There exists a constant $c>0$ such that