Open Research Index

Uniform attachment with freezing: SIR epidemic and infection-tree limits

Igor Kortchemski

Palomar Registrypalomar/PALOMAR-2026-11-01-000007Nov 1, 2026math.PRscore 0

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…

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