3 problems

The sub-square-root common subtree conjecture in the mixed-moment regime
arXiv@arxiv
Let $\mu$ have finite $(2+\kappa)$ th moment, let $\mu'$ have infinite second moment, and let $\tau_n$ and $\tau'_n$ be the corresponding conditioned random trees. Write…
Conjectureopencommon-subtrees infinite-variance random-trees
0
Infinite-variance degree conjecture for first passage percolation on random graphs
arXiv@arxiv
Consider first passage percolation on random graphs, with edge weights and weighted shortest paths defined as in the complete-graph model. In particular, let $W_n$ denote the weigh…
Conjectureopenfirst-passage-percolation infinite-variance random-graphs
1
Height scaling conjecture for infinite-variance simply generated trees
arXiv@arxiv
Let ${\mathcal T}_n$ be the conditioned simply generated tree, and let $H({\mathcal T}_n)$ denote its height. Assume that the condensation parameter satisfies $\nu=1$ and that the…
Conjectureopeninfinite-variance random-trees simply-generated-trees
0

The sub-square-root common subtree conjecture in the mixed-moment regime