• Corpus ID: 49864507

Derandomizing the Lovasz Local Lemma via log-space statistical tests

  title={Derandomizing the Lovasz Local Lemma via log-space statistical tests},
  author={David G. Harris},
The Lov\'{a}sz Local Lemma (LLL) is a keystone principle in probability theory, guaranteeing the existence of configurations which avoid a collection $\mathcal B$ of "bad" events which are mostly independent and have low probability. In its simplest form, it asserts that whenever a bad-event has probability $p$ and affects at most $d$ other bad-events, and $e p (d+1) < 1$, then a configuration avoiding all $\mathcal B$ exists. A seminal algorithm of Moser & Tardos (2010) gives randomized… 
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