Espace hyperbolique p-adique et dynamique des fonctions rationnelles

By J. Rivera-Letelier. Compositio Mathematica, 2003

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Topology and geometry of the Berkovich ramification locus for rational functions, I (2013, methodology): “This simplest first case has the benefit of being approachable by concrete (and often combinatorial) techniques, many of which were developed by Rivera-Letelier [9, 10, 11], Favre/Rivera-Letelier [7], and Baker/Rumely [2].”
Preperiodic points of polynomials over global fields (2005, background): “(That bound, if true, would be sharp, in light of the c = −29/16 example above.)”
A finiteness theorem for canonical heights attached to rational maps over function fields (2006, methodology): “The equivalence of (1) and (2) is originally due to Benedetto ([6], Theorem B), and the equivalence of (1) and (3) was first noted by Rivera-Letelier in [ 16 ], §4.1.”
Dynamics on Berkovich Spaces in Low Dimensions (2012, background): “ two elements. The remaining statements are easily veried. 5.5. Maps of simple reduction. By denition, the exceptional set consists of classical points only. The following result by Rivera-Letelier [Riv03b] characterizes totally invariant points in hyperbolic space. Proposition 5.4. If x0 2H is a to”
Potential Theory and Dynamics on the Berkovich Projective Line (2010, background): “The notation HBerk for the “Berkovich hyperbolic space” P(1)Berk\P(1)(K) is an adaptation of Rivera-Letelier’s notation in [79, 78].”