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Catalogue Information
Nome campo	dettagli
Dewey Class	515/.39
Titolo	Dynamics in one non-archimedean variable / ([EBook] ) / Robert L. Benedetto.
Autore	Benedetto, Robert L., , 1972-
Pubblicazione	Providence, Rhode Island : : American Mathematical Society, , [2019]
Physical Details	1 online resource (xviii, 463 pages : illustrations)
Serie	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 acces to digital resource	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
Vedi Anche	https://doi.org/10.1090/gsm/198
Link alle Opere Legate	Riferimenti soggetto: . Analytic spaces . Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spaces . Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Height functions; Green functions; invariant measures . Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Non-Archimedean Fatou and Julia sets . Geometry, Analytic . p-adic analysis . Authors: author . Benedetto, Robert L., 1972- . Series: Graduate studies in mathematics . Classification: 515/.39 .

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Dynamics in one non-archimedean variable /

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