A self-similarity (renormalization-group) argument rederives the generalized central limit theorem and the three extreme value distributions.
(2000) Stable distributions, pseudorandom generators, embeddings and data stream computation
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An elementary renormalization-group approach to the Generalized Central Limit Theorem and Extreme Value Distributions
A self-similarity (renormalization-group) argument rederives the generalized central limit theorem and the three extreme value distributions.