Complex dynamics, value distributions, and potential theory.
Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics
Adelic equidistribution, characterization of equidistribution, and a general equidistribution theorem in non-archimedean dynamics
We determine when the equidistribution property for possibly moving targets holds for a rational function of degree more than one on the projective line over an algebraically closed field of any characteristic and complete with respect to a non-trivial absolute value. This characterization could be useful in the positive characteristic case. Based on a variational argument, we give a purely local proof of the adelic equidistribution theorem for possibly moving targets, which is due to Favre and...
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