Hardcover
Presents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier’s classification theorem, as well as results on wandering domains, repelling periodic points, and equilibrium measures. The Berkovich projective line is developed from the ground up, as are relev…
Dynamics in One Non-Archimedean Variable
$294.84
- Hardcover
418 pages
- Release Date
29 April 2019
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Summary
The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of \(p\)-adic dynamics in the late twentieth century, dynamics in one non-archimedean variable is the analogous theory over non-archimedean fields rather than over the complex numbers. It is also an essential component of the number-theoretic study of arithmetic dynamics.…
Book Details
| ISBN-13: | 9781470446888 |
|---|---|
| ISBN-10: | 147044688X |
| Series: | Graduate Studies in Mathematics |
| Author: | Robert L. Benedetto |
| Publisher: | American Mathematical Society |
| Imprint: | American Mathematical Society |
| Format: | Hardcover |
| Number of Pages: | 418 |
| Release Date: | 29 April 2019 |
| Weight: | 990g |
| Dimensions: | 254mm x 178mm |
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About The Author
Robert L. Benedetto
Robert L. Benedetto, Amherst College, MA.
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