Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics

Details Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics

2011-06-16

arxiv.org/abs/1106.3363v2

Acta Arith. 152 (2012), 267--277

Mathematics

Dynamical Systems

To appear in Acta Arithmetica. For the preprint, please see <a href="http://yusuke.cajpn.org/">our home page</a>

Scientific paper

10.4064/aa152-3-3

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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