3 citations · 5 across the 6 of their papers we have counts for
6 papers
Dynamics of superattracting skew products on the attracting basins: Böttcher coordinates and plurisubharmonic functions
Kohei Ueno
We study the dynamics of a superattracting skew product on the attracting basin. As the first strategy, we find out forward -invariant wedge-shaped regions in the basin, on…
A construction of Böttcher coordinates for holomorphic skew products
Kohei Ueno
Let be a holomorphic skew product with a superattracting fixed point at the origin. Under one or two assumptions, we prove that is conjugate to a monomia…
Böttcher coordinates at superattracting fixed points of holomorphic skew products
Kohei Ueno
Let be a germ of holomorphic skew product with a superattracting fixed point at the origin. If it has a suitable weight, then we can c…
Green functions and weights of polynomial skew products on C^2
Kohei Ueno
We study the dynamics of polynomial skew products on C^2. By using suitable weights, we prove the existence of several types of Green functions. Largely, continuity and plurisubhar…
Polynomial skew products whose Julia sets have infinitely many symmetries
Kohei Ueno
We consider the symmetries of Julia sets of polynomial skew products on C^2, which are birationally conjugate to rotational products. Our main results give the classification of th…
Dynamics of symmetric holomorphic maps on projective spaces
Kohei Ueno
We consider complex dynamics of a critically finite holomorphic map from P^k to P^k, which has symmetries associated with the symmetric group S_{k+2} acting on P^k, for each k \ge…