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- W4313303071 abstract "We introduce a canonical notion of entropy for polynomials analogue to that of random variables in probability. We prove that entropy increases smoothly with respect to finite free addition. In particular we get the new inequality : $ Dis(p-tp')>Dis(p) $ for a polynomial $p$, its derivative $p'$ and t any non zero real." @default.
- W4313303071 created "2023-01-06" @default.
- W4313303071 creator A5018172862 @default.
- W4313303071 date "2019-07-30" @default.
- W4313303071 modified "2023-09-27" @default.
- W4313303071 title "A notion of entropy on the roots of polynomials" @default.
- W4313303071 doi "https://doi.org/10.48550/arxiv.1907.12826" @default.
- W4313303071 hasPublicationYear "2019" @default.
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