Search
Now showing items 1-10 of 15
Quasiconformal Isotopies
(Springer, 1988)
Automorphisms of Rational Maps
(Springer, 1988)
Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems
(Wiley-Blackwell, 1989)
Braiding of the Attractor and the Failure of Iterative Algorithms
(Springer Verlag, 1988)
Solving the Quintic by Iteration
(Springer Verlag, 1989)
Area and Hausdorff Dimension of Julia Sets of Entire Functions
(American Mathematical Society, 1987)
We show the Julia set of \(\lambda\sin(z)\) has positive area and the action of \(\lambda\sin(z)\) on its Julia set is not ergodic; the Julia set of \(\lambda\exp(z)\) has Hausdorff dimension two but in the presence of ...
Families of Rational Maps and Iterative Root-Finding Algorithms
(Princeton University, 1987)
In this paper we develop a rigidity theorem for algebraic families of rational maps and apply it to the study of iterative root-finding algorithms. We answer a question of Smale's by showing there is no generally convergent ...
Amenability, Poincaré Series and Quasiconformal Maps
(Springer Verlag, 1989)
Any covering \(Y \rightarrow X\) of a hyperbolic Riemann surface\(X\) of finite area determines an inclusion of Teichmüller spaces \(Teich(X) \hookrightarrow Teich(Y)\). We show this map is an isometry for the Teichmüller ...
On the Kodaira Dimension of the Moduli Space of Curves
(Springer Verlag, 1982)