17 citations · 77 across the 35 of their papers we have counts for
7 papers · 1 filter
Resultant measures and minimal resultant loci for non-archimedean polynomial dynamics
Hongming Nie, Yûsuke Okuyama
We compute the resultant measures for iterations , , of a polynomial of degree on the -th level Trucco's trees , , in the Berkovich projective…
Geometric formulas on Rumely's weight function and crucial measure in non-archimedean dynamics
Yûsuke Okuyama
We introduce the -crucial function associated to a rational function of degree over an algebraically closed field of possibly pos…
Adelically summable normalized weights and adelic equidistribution of effective divisors having small diagonals and small heights on the Berkovich projective lines
Yûsuke Okuyama
We introduce the notion of an adelically summable normalized weight , which is a family of normalized weights on the Berkovich projective lines satisfying a summability conditio…
A Mahler-type estimate of weighted Fekete sums on the Berkovich projective line
Yûsuke Okuyama
We establish a Mahler-type estimate of weighted Fekete sums on the Berkovich projective line over an algebraically closed field of possibly positive characteristic that is complete…
On a characterization of polynomials among rational functions in non-archimedean dynamics
Yûsuke Okuyama, Małgorzata Stawiska
We study a question on characterizing polynomials among rational functions of degree on the projective line over an algebraically closed field that is complete with respect to…
Algebraic zeros divisors on the projective line having small diagonals and small heights and their application to adelic dynamics
Yûsuke Okuyama
We establish a quantitative adelic equidistribution theorem for a sequence of algebraic zeros divisors on the projective line over the separable closure of a product formula field…
Approximation of Lyapunov exponents in non-archimedean and complex dynamics
Yûsuke Okuyama
We give two kinds of approximation of Lyapunov exponents of rational functions of degree more than one on the projective line over more general fields than that of complex numbers.