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Title: Dynamics in one non-archimedean variable / ([EBook] ) / Robert L. Benedetto. Dewey Class: 515/.39 Author: Benedetto, Robert L.,, 1972- author. 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) 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). 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: ------------------------------ *** Non c'è alcun posseduto per questo Record *** -----------------------------------------------
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