Potential Theory and Dynamics on the Berkovich Projective Line

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On the structure of nonarchimedean analytic curves (2014, background): “ of semistable models X→X′ if and only if VX′ ⊂VX. 1.4. In §5 we turn our attention to the metric nature of the analytic curve Xan. This is worked out ‘by hand’ in the case X = P1 by Baker and Rumely [BR10], but does not otherwise explicitly appear in the literature. We will prove that the metric gr”
Nonarchimedean geometry, tropicalization, and metrics on curves (2011, background): “Our notation follows [BR10] and reflects the fact that the metric on H(P1an) is 0-hyperbolic in the sense of Gromov.”
Valuations and asymptotic invariants for sequences of ideals (2010, background): “A function on VX,ξ is psh if and only if it satisfies certain convexity conditions [19, 2, 42, 28].”
Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta (2013, positive): “We define a partial ordering on B by declaring y ≤ z if y ∈[ x, z]; again see ([9], §1.”
On the structure of non-archimedean analytic curves (2013, background): “This is worked out ‘by hand’ in the case X = P1 by Baker and Rumely [3], but does not otherwise explicitly appear in the literature.”