nucleation

LIT-1028: A cluster process representation of a self-exciting process

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StatusUnavailable — filed 2026-10-13, not read. Registered from the 2026-10-13 exchange on meaning operators and selfhood (the workbench entry of 2026-10-13, 21:29). No NOTE is filed, and it stays Unavailable until it is read, not on merit. Looked for a lawful full text on 2026-10-13 and found none: OpenAlex reports it closed (no open-access location, no repository full text) and Semantic Scholar gives no openAccessPdf; the Cambridge Core page (10.1017/S0021900200096273) offers only purchase or institutional access, and its PDF link returns the access page; the JSTOR copy (10.2307/3212693) is not free; web searches found no author-posted, institutional or course-hosted copy. Brémaud and Massoulié (LIT-1035, read in NOTE-728) describe its results: existence of the stationary linear excitatory process for ∫h < 1 by a cluster (branching) construction, and uniqueness and stability in distribution from an empty past.
Tagsprobabilistic-modeling, mathematical-statistics

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Hawkes, A. G., & Oakes, D. (1974). A cluster process representation of a self-exciting process. Journal of Applied Probability 11(3), 493–503. DOI 10.2307/3212693

Not read. The summary is drawn from the abstract where one was seen, and otherwise from what the work is standardly cited for or from the exchange’s description. A reading should check it first.

Why this is here

Registered with Hawkes (1971) as the source of the branching reading the exchange used for cascades (A6 §2). Method only.

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