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math.PR 1

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2026 1

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Edge-averaging dynamics on finite graphs: moment dependence

math.PR · 2026-05-09 · unverdicted · novelty 7.0

The expected time until opinions on an n-vertex graph differ by at most ε is Õ(n^{max(3-p,2/p)}) when each initial opinion has L^p norm at most 1, and this scaling is tight on cycles.

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  • Edge-averaging dynamics on finite graphs: moment dependence math.PR · 2026-05-09 · unverdicted · none · ref 10

    The expected time until opinions on an n-vertex graph differ by at most ε is Õ(n^{max(3-p,2/p)}) when each initial opinion has L^p norm at most 1, and this scaling is tight on cycles.