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20042024
most citedRepelling periodic points and logarithmic equidistribution in non-archimedean dynamics

17 citations · 77 across the 35 of their papers we have counts for

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7 papers · 1 filter

math.CV2016

Value distribution of the sequences of the derivatives of iterated polynomials

Yûsuke Okuyama

We establish the equidistribution of the sequence of the averaged pullbacks of a Dirac measure at any value in under the derivatives of the iterations of…

math.CV2012★ 3 cited

Rescaling principle for isolated essential singularities of quasiregular mappings

Yûsuke Okuyama, Pekka Pankka

We establish a rescaling theorem for isolated essential singularities of quasiregular mappings. As a consequence we show that the class of closed manifolds receiving a quasiregular…

math.CV2010★ 1 cited

Lyapunov exponents in complex dynamics and potential theory

Yûsuke Okuyama

This paper is superseded by arXiv:1106.3363.

math.CV2010

Fekete sequences in complex dynamics

Yûsuke Okuyama

This paper is superseded by arXiv:1106.3367

math.CV2010★ 4 cited

Potential theory and a characterization of polynomials in complex dynamics

Yûsuke Okuyama, Małgorzata Stawiska

We obtain a measure theoretical characterization of polynomials among rational functions on , which generalizes a theorem of Lopes. Our proof applies both classical a…

math.CV2007★ 1 cited

Singularities of Schröder maps and unhyperbolicity of rational functions

David Drasin, Yûsuke Okuyama

We study transcendental singularities of a Schröder map arising from a rational function , using results from complex dynamics and Nevanlinna theory. These maps are transcendent…

math.CV2004★ 7 cited

Linearization problem on structurally finite entire functions

Yûsuke Okuyama

We show that if a 1-hyperbolic structurally finite entire function of type , , is linearizable at an irrationally indifferent fixed point, then its multiplier satisf…