Dynamics in One Non-Archimedean Variable
Author:   Robert L. Benedetto
Publisher:   American Mathematical Society
ISBN:  

9781470446888


Pages:   418
Publication Date:   30 April 2019
Format:   Hardback
Availability:   In Print   Availability explained
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Dynamics in One Non-Archimedean Variable


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Author:   Robert L. Benedetto
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.990kg
ISBN:  

9781470446888


ISBN 10:   147044688
Pages:   418
Publication Date:   30 April 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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 Bibliography Index.

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Robert L. Benedetto, Amherst College, MA.

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