Description
Book SynopsisThis volume is the seventh in the series
Collected Papers of John Milnor. Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, up to the year 2012. The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field.
Trade ReviewThis is a remarkable collection of contributions, which has been carefully and thoroughly edited and updated, with much mathematics of great importance. I hope it finds its home not in the dustier parts of libraries with bound volumes of collected works that simply comprise collated papers but in the shelves and on the desks of active researchers interested in dynamics, where it belongs." - Thomas B. Ward,
Zentralblatt MATHTable of Contents
- Introduction
- Notes on surjective cellular automaton-maps (Unpublished manuscript of 1984)
- Tsujii's monotonicity proof for real quadratic maps (Unpublished manuscript of 2000)
- Local connectivity of Julia sets: Expository lectures (2000)
- On rational maps with two critical points (2000)
- Periodic orbits, external rays and the Mandelbrot set: An expository account (2000)
- Pasting together Julia sets--A worked out example of mating (2004)
- On Lattès maps (2006)
- with A. Bonifant and M. Dabija, Elliptic curves as attractors in P 2, Part I: Dynamics (2007)
- with A. Bonifant, Schwarzian derivatives and cylinder maps (2008)
- Cubic polynomial maps with periodic critical orbit, Part I (2009)
- with A. Bonifant and J. Kiwi, Cubic polynomial maps with periodic critical orbit, Part II: Escape regions (2010)
- with A. Bonifant and J. Kiwi, Errata for "Cubic polynomial maps with periodic critical orbit, Part II: Escape regions" (2010)
- with an appendix by A. Poirier, Hyperbolic components (2012)
- Index
