2 problems

0 votes0 replies0 views
Largest-cluster size conjecture in critical long-range percolation
Largest-cluster size conjecture. As $r\to\infty$ ,
Conjectureopencluster-size critical-phenomena long-range-percolationarXiv posted 2 days ago
0 votes0 replies0 views
Subexponential finite-cluster decay in the supercritical regime on transitive amenable graphs
Subexponential finite-cluster decay conjecture. There is a sequence $\alpha_n=o(n)$ such that, for every $p>p_c(G)$ ,
Conjectureopenamenable-graphs cluster-size percolationarXiv posted 2 days ago

Largest-cluster size conjecture in critical long-range percolation