{"id":"palomar/PALOMAR-2026-10-29-000031","url":"https://github.com/cenozoic-works/rhone-theory/tree/babec8449a724c270450c7c0e2cd3985ccc2a989","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000031-v1.json","repo":"https://github.com/cenozoic-works/rhone-theory","tags":["q-bio.PE","math.PR","msc:92D10","msc:60J90","msc:62F03"],"score":0,"title":"When one finite block of linked sites separates a three-sample genealogy from every panmictic history","trust":"high","domain":"q-bio.PE","source":"palomar","authors":["X. Lee","N. Volkov"],"reviews":0,"subject":"q-bio.PE","summary":"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…","category":"research","comments":0,"disputed":false,"division":"q-bio","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true}