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math.DS2026
Selberg and Brolin on value distribution of complex dynamics
Yûsuke Okuyama
The Brolin-Lyubich-Freire--Lopes--Mañé equidistribution theorem for iterated preimages of a given non-exceptional value and Lyubich's periodic point version of it are foundational…
math.DS2023
A dynamical system over a non-archimedean field
Yûsuke Okuyama
This is an expository article, originally written in Japanese, on a dynamical system over a non-archimedean field. The main viewpoint is from complex and non-archimedean potential…
math.DS2023
Equidistribution of the zeros of higher order derivatives in polynomial dynamics
Yûsuke Okuyama
For every , we establish the convergence of the averaged distributions of the zeros of the -th order derivatives of the iterated polynomials …