4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.DS2022
Dynamics of Chebyshev endomorphisms on some affine algebraic varieties
Keisuke Uchimura
Chebyshev polynomials in one variable are typical chaotic maps on the complex 1-space. Chebyshev endomorphisms f on the complex n-space A are also chaotic. The endomorphisms f indu…
math.CV2017
Discriminants of a Class of Self-inversive Polynomials and Real Binary Forms
Keisuke Uchimura
A class of self-inversive polynomials includes all the self-reciprocal polynomials. Let A denote the set of all self-reciprocal polynomials with n+1 coefficients. Let B denote the…
math.DS2016★ 4 cited
Holomorphic endomorphisms of P^3(C) related to a Lie algebra of type A_3 and catastrophe theory
Keisuke Uchimura
Chebyshev maps in the complex plane are typical chaotic maps. Veselov generalized these map. We consider a class of those maps and view them as holomorphic endomorphisms on the 3-d…