{"id":"palomar/PALOMAR-2026-11-01-000007","url":"https://github.com/igor-kortchemski/uniform-attachment-with-freezing/tree/48410b254fbc5d8c1a483acb8309338baa479a6f","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-11-01-000007-v1.json","repo":"https://github.com/igor-kortchemski/uniform-attachment-with-freezing","tags":["math.PR","math.CO","msc:60C05","msc:05C80","msc:60F05"],"score":0,"title":"Uniform attachment with freezing: SIR epidemic and infection-tree limits","trust":"high","domain":"math.PR","source":"palomar","authors":["Igor Kortchemski"],"reviews":0,"subject":"math.PR","summary":"Lean proofs of the local, fluid and terminal geometric limits of the SIR epidemic and its infection tree. The selected results include the finite-rate geometric Bienaymé limit, strong-rate non-tightness, the finite-rate fluid and height/distance survival mixtures, and the strong-rate fluid, height, distance and maximum-height limits. The physical model uses independent exponential recoveries and infection-age contact paths; existence for positive rates and the relevant clock-law identifications are proved. This entry covers T06–T07 and shares its proof repository with the other main-result…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-11-01","reactions":{},"formalized":true,"formalizes":[{"title":"Uniform attachment with freezing","identifier":"sha256:88953dd87165a14b0e643c5b3d0075d8ce5ec39cdcfc0c25d313570fc3ab00df","relationship":"formalizes"}]}