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Phase Transitions in the Dynamics of Slow Random Monads

✍ Scribed by A. D. Ramos; A. Toom

Publisher: Springer
Year: 2011
Tongue: English
Weight: 657 KB
Volume: 145
Category: Article
ISSN: 0022-4715
DOI: 10.1007/s10955-011-0373-x

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## Abstract Let \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop {\rm D}\limits^ \to $\end{document}(__n, M__) denote a digraph chosen at random from the family of all digraphs on __n__ vertices with __M__ arcs. We shall prove that if __M__/__n__ ≤ __c__ < 1 and ω(__n__) → ∞, then