Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics
classification
🧮 math.DS
math.NT
keywords
non-archimedeanequidistributionlogarithmicperiodicpointsrepellinganswerberkovich
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It is an open problem whether repelling periodic points are dense in the classical Julia set of a non-archimedean rational function of degree more than one. We give a partial positive answer to this question based on a study of a logarithmic equidistribution on the Berkovich projective line over non-archimedean fields.
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