Manuscript Oai212-A@1 · Oai212-A.tex · section · 79323841

A constructive finite-volume tail bound

Classical first-passage process and finite-volume control › A constructive finite-volume tail bound · lines 219–227

Write

Λ_{L} = [- L, L]^{2} \cap Z^{2}, N_{L} = (2 L + 1)^{2}, M_{L} = 4 L (2 L + 1) .

Here $M_{L}$ counts undirected edges with both endpoints in $Λ_{L}$ .

Displayed formulas in this passage

unlabeled · line 222
$Λ_{L} = [- L, L]^{2} \cap Z^{2}, N_{L} = (2 L + 1)^{2}, M_{L} = 4 L (2 L + 1) .$