Dynamics in One Non Archimedean Variable is popular PDF and ePub book, written by Robert L. Benedetto in 2019-03-05, it is a fantastic choice for those who relish reading online the Analytic spaces genre. Let's immerse ourselves in this engaging Analytic spaces book by exploring the summary and details provided below. Remember, Dynamics in One Non Archimedean Variable can be Read Online from any device for your convenience.
Dynamics in One Non Archimedean Variable Book PDF 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. This textbook 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, which is the appropriate setting for the associated Fatou and Julia sets, is developed from the ground up, as are relevant results in non-archimedean analysis. The presentation is accessible to graduate students with only first-year courses in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the p-adic numbers, is recommended. The book should also be a useful reference for more advanced students and researchers in arithmetic and non-archimedean dynamics.
Detail Book of Dynamics in One Non Archimedean Variable PDF
- Author : Robert L. Benedetto
- Release : 05 March 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470446888
- Genre : Analytic spaces
- Total Page : 463 pages
- Language : English
- PDF File Size : 10,7 Mb
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