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 290–299

For $t = n t_{0}$ and $L = ⌈ an ⌉$ , choosing

a > \frac{s t _{0}}{- lo g r _{s}}

makes the escape allowance exponentially small in $n$ . This is an explicit finite-volume approximation, not an assertion that a finite circuit determines a continuum model.

Displayed formulas in this passage

unlabeled · line 293
$a > \frac{s t _{0}}{- lo g r _{s}}$

Nearby in this section

section: A constructive finite-volume tail bound
lemma: Lemma: Escape bound and non-explosion
remark: Remark: Gamma version
section: A constructive finite-volume tail bound
corollary: Corollary: Exact agreement on a confinement event