Finitely generated groups are built that satisfy Burnside laws with limit probability 1 (or 0, or any partial limit in [0,1]) under ball measures and random walks, resolving open questions on sensitivity to generators and coexistence of laws.
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Asymptotic Burnside laws
Finitely generated groups are built that satisfy Burnside laws with limit probability 1 (or 0, or any partial limit in [0,1]) under ball measures and random walks, resolving open questions on sensitivity to generators and coexistence of laws.