Institute for Mathematical Sciences

Preprint ims98-3

E. Bedford and M. Jonsson
Regular Polynomial Endomorphisms of C^k

Abstract: We study the dynamics of polynomial mappings $f:{\bf C}^k\to{\bf C}^k$ of degree $d\ge2$ that extend continuously to projective space ${\bf P}^k$. Our approach is to study the dynamics near the hyperplane at infinity and then making a descent to $K$ --- the set of points with bounded orbits --- via external rays.
View ims98-3 (PDF format)