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تسجيل مستخدم جديدMixing properties and the chromatic number of Ramanujan complexes
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Ramanujan complexes are high dimensional simplical complexes generalizing Ramanujan graphs. A result of Oh on quantitative property (T) for Lie groups over local fields is used to deduce a Mixing Lemma for such complexes. As an application we prove that non-partite Ramanujan complexes have high girth and high chromatic number, generalizing a well known result about Ramanujan graphs.
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