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When one finite block of linked sites separates a three-sample genealogy from every panmictic history

X. Lee, N. Volkov

Palomar Registrypalomar/PALOMAR-2026-10-29-000031Oct 29, 2026q-bio.PEscore 0

This entry formalizes conditions under which a single finite block of linked sites separates a three-sample genealogy from every panmictic history. A law of the two coalescence-interval lengths and the tree shape of three sampled sequences is uniformly separated at mutation scale k > 0 when some block of L completely linked sites, observed under the equal-rates mutation model, has a law at ℓ1 distance at least a fixed ε > 0 from the block law of every panmictic history (any nonnegative, locally integrable, time-varying coalescence rate with a diverging integrated clock), at every mutation…

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