5 citations · 8 across the 7 of their papers we have counts for
7 papers
Semistable reductions and minimalities of invariants for group scheme actions on projective schemes
Rin Gotou, Yûsuke Okuyama
Let be an algebraically closed and complete non-archimedean and non-trivially valued field, and let be a reductive group scheme acting on a flat projective scheme defin…
Intrinsic semistable reduction loci for the iterations of non-archimedean quadratic rational functions and moduli-theoretic applications
Yûsuke Okuyama
We study the intrinsic semistable reduction loci for the iterations of quadratic rational functions over algebraically closed complete non-archimedean fields. Using a reduction-the…
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…
The intrinsic reductions and the intrinsic depths in non-archimedean dynamics
Yûsuke Okuyama
In this short paper, we aim at giving a more conceptual and simpler proof of Rumely's moduli theoretic characterization of type II minimal locus of the resultant function $\operato…
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…
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 …
Equilibrium measures for uniformly quasiregular dynamics
Yûsuke Okuyama, Pekka Pankka
We establish the existence and fundamental properties of the equilibrium measure in uniformly quasiregular dynamics. We show that a uniformly quasiregular endomorphism of degre…