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Dynamics in one non-archimedean variable /
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Catalogue Information
Field name
Details
Dewey Class
515/.39
Title
Dynamics in one non-archimedean variable / ([EBook] ) / Robert L. Benedetto.
Author
Benedetto, Robert L., , 1972-
Publication
Providence, Rhode Island : : American Mathematical Society, , [2019]
Physical Details
1 online resource (xviii, 463 pages : illustrations)
Series
Graduate studies in mathematics
; 198
ISBN
9781470451066 (online)
Contents note
Introduction: Basic dynamics on $\mathbb {P} 1(K)$: Some background on non-archimedean fields: Power series and Laurent series: Fundamentals of non-archimedean dynamics: Fatou and Julia sets: The Berkovich projective line: Rational functions and Berkovich space: Introduction to dynamics on Berkovich space: Classifying Berkovich Fatou components: Further results on periodic components: Wandering domains: Repelling points in Berkovich space: The equilibrium measure: Proofs of results from non-archimedean analysis: Proofs of Berkovich space results: Proofs of results on Berkovich maps: Fatou components without Berkovich space: Other constructions of Berkovich spaces:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2019
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/198
See Also
https://doi.org/10.1090/gsm/198
Links to Related Works
Subject References:
Analytic spaces
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Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spaces
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Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Height functions; Green functions; invariant measures
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Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Non-Archimedean Fatou and Julia sets
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Geometry, Analytic
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p-adic analysis
.
Authors:
author
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Benedetto, Robert L., 1972-
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Series:
Graduate studies in mathematics
.
Classification:
515/.39
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