Generalization of the Fundamental Theorem on Subadditive Functions.¶
Hammersley, J. M. (1962). Generalization of the Fundamental Theorem on Subadditive Functions. Proceedings of the Cambridge Philosophical Society, 235-238.
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Primes¶
- Subadditivity
- For a subadditive sequence \(a_{m+n}\leq a_m+a_n\), Fekete's lemma identifies a stable asymptotic rate, \(\lim_n a_n/n=\inf_n a_n/n\), and Hammersley and Kingman extend the limiting logic to broader and stochastic subadditive settings.
This sourceDevelops the limiting-rate theorem for broader subadditive functions.
- For a subadditive sequence \(a_{m+n}\leq a_m+a_n\), Fekete's lemma identifies a stable asymptotic rate, \(\lim_n a_n/n=\inf_n a_n/n\), and Hammersley and Kingman extend the limiting logic to broader and stochastic subadditive settings.
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