2 citations · 2 across the 4 of their papers we have counts for
10 papers
Uniform perfectness of the Berkovich Julia sets in non-archimedean dynamics
Yûsuke Okuyama
We show that a rational function of degree on the projective line over an algebraically closed field that is complete with respect to a non-trivial and non-archimedean abs…
Lehto--Virtanen-type and big Picard-type theorems for Berkovich analytic spaces
Yûsuke Okuyama
In non-archimedean setting, we establish a Lehto--Virtanen-type theorem for a morphism from the punctured Berkovich closed unit disk in the Be…
Value distribution of derivatives in polynomial dynamics
Yûsuke Okuyama, Gabriel Vigny
For every , we establish the equidistribution of the sequence of the averaged pull-backs of a Dirac measure at any given value in under t…
Entropy in uniformly quasiregular dynamics
Ilmari Kangasniemi, Yûsuke Okuyama, Pekka Pankka +1
Let be a closed, oriented, and connected Riemannian -manifold, for , which is not a rational homology sphere. We show that, for a non-constant and non-injective unif…
A generalization of the converse of Brolin's theorem
Yusuke Okuyama, Malgorzata Stawiska
We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.
An a priori bound of rational functions on the Berkovich projective line
Yûsuke Okuyama
We establish a locally uniform a priori bound on the dynamics of a rational function of degree on the Berkovich projective line over an algebraically closed field of any c…