Potential Theory and Dynamics on the Berkovich Projective Line

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Potential Theory and Dynamics on the Berkovich Projective Line by Baker, Matthew; Rumely, Robert, 9780821849248
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  • ISBN: 9780821849248 | 0821849247
  • Cover: Hardcover
  • Copyright: 4/16/2010

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The Berkovich unit disc The Berkovich projective line Metrized graphs The Hsia kernel The Laplacian on the Berkovich projective line Capacity theory Harmonic functions Subharmonic functions Multiplicities Applications to the dynamics of rational maps Some results from analysis and topology $\mathbb{R}$-trees and Gromov hyperbolicity Brief overview of Berkovich's theory Bibliography Index