{"id":"palomar/PALOMAR-2026-10-29-000029","url":"https://github.com/cenozoic-works/rhone-theory/tree/babec8449a724c270450c7c0e2cd3985ccc2a989","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000029-v1.json","repo":"https://github.com/cenozoic-works/rhone-theory","tags":["q-bio.PE","math.PR","msc:92D10","msc:60J90","msc:60J05","msc:60F05"],"score":0,"title":"Total variation bound between an unpruned ancestral recombination process and SMC' on pairwise coalescence times","trust":"high","domain":"q-bio.PE","source":"palomar","authors":["X. Lee","N. Volkov"],"reviews":0,"subject":"q-bio.PE","summary":"This entry formalizes a total variation bound between the pairwise coalescence-time process of an unpruned ancestral recombination graph and the SMC' approximation, for N ≥ 1 samples, a unit-length genome, and scaled recombination rate R ≥ 0. The observed object is the collection of pairwise coalescence times of all sample pairs at every rational position in [0, 1). The total variation distance is at most an explicit double bound, which is at most min(1, R² times a quadratic coefficient in N − 1). The distance is 0 for one sample and for zero recombination. Supporting statements show that…","category":"research","comments":0,"disputed":false,"division":"q-bio","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true}