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Published online by Cambridge University Press: 21 April 2021
Probability theory can be used to solve certain entirely deterministic functional equations, using a technique pioneered by Aubrun and Nechita. We give some background on moment generating functions, large deviations, and convex conjugates, then state Aubrun and Nechita’s multiplicative characterization of the p-norms (giving a variant of their proof). We then use this theorem on norms to give a multiplicative characterization of the power means.
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