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- W4287646703 abstract "We consider paths of steepest descent, in the complex plane, for the norm of a non-constant one variable polynomial $f$. We show that such paths, starting from a zero of the logarithmic derivative of $f$ and ending in a root of $f$, draw a tree in the complex plane, and we give an upper bound estimate on their lengths. In some cases, we obtain a finer estimate that depends only on the set of roots of $f$, not on their multiplicity, and we wonder if this can be done in general. We also extend this question to finite Blaschke products for the unit disk." @default.
- W4287646703 created "2022-07-25" @default.
- W4287646703 creator A5057495325 @default.
- W4287646703 date "2020-10-04" @default.
- W4287646703 modified "2023-10-14" @default.
- W4287646703 title "On the paths of steepest descent for the norm of a one variable complex polynomial" @default.
- W4287646703 doi "https://doi.org/10.48550/arxiv.2010.01583" @default.
- W4287646703 hasPublicationYear "2020" @default.
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