494 citations · 806 across the 17 of their papers we have counts for
6 papers · 2 filters
Remarks on quadratic rational maps
John W. Milnor
This will is an expository description of quadratic rational maps. Sections 2 through 6 are concerned with the geometry and topology of such maps. Sections 7--10 survey of some top…
Local connectivity of Julia sets: expository lectures
John W. Milnor
The following notes provide an introduction to recent work of Branner, Hubbard and Yoccoz on the geometry of polynomial Julia sets. They are an expanded version of lectures given i…
Hyperbolic components in spaces of polynomial maps
John W. Milnor, Alfredo Poirier
We consider polynomial maps $f:\C\to\C$ of degree , or more generally polynomial maps from a finite union of copies of $\C$ to itself which have degree two or more on each…
The Fibonacci unimodal map
Mikhail Lyubich, John W. Milnor
This paper will study topological, geometrical and measure-theoretical properties of the real Fibonacci map. Our goal was to figure out if this type of recurrence really gives any…
Remarks on iterated cubic maps
John W. Milnor
This note will discuss the dynamics of iterated cubic maps from the real or complex line to itself, and will describe the geography of the parameter space for such maps. It is a ro…
Dynamics in one complex variable: introductory lectures
John W. Milnor
These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. They a…