Dynamical systems /
xii, 546 p. : illustrations ; 26 cm.
xvi, 592 p. : illustrations (some color) ; 26 cm. - (Collected papers of John Milnor ; VI, VII.) VI: 1953-2000
VII: 1984-2012 Content notes : VI:
pt. I REAL DYNAMICS --
Introduction --
The characteristics of a vector field on the two-sphere (1953) --
On the concept of attractor (1985) --
On the concept of attractor: correction and remarks (1985) --
Directional entropies of cellular automaton-maps (1986) --
On the entropy geometry of cellular automata (1988) --
Non-expansive Henon maps (1988) --
On iterated maps of the interval (1988) / W. Thurston --
A monotonicity conjecture for real cubic maps (1995) / C. Tresser --
On entropy and monotonicity for real cubic maps (2000) / P. Sentenac --
Fubini foiled: Katok's paradoxical example in measure theory (1997) --
pt. II COMPLEX DYNAMICS --
Introduction --
Dynamical properties of plane polynomial automorphisms (1989) / S. Friedland --
Self-similarity and hairiness in the Mandelbrot set (1989) --
Remarks on iterated cubic maps (1992) --
Geometry and dynamics of quadratic rational maps (1993) / Tan Lei --
The Fibonacci unimodal map (1993) / M. Lyubich --
Fixed points of polynomial maps. Part II: Fixed point portraits (1993) / L. Goldberg --
The mathematical work of Curt McMullen (1999). VII:
Preface --
Dedication --
Acknowledgments --
Addendum: updated references --
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Notes on surjective cellular automaton-maps (unpublished manuscript of 1984) --
Tsujii's monotonicity proof for real quadratic maps (unpublished manuscript of 2000) --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) --
Elliptic curves as attractors in P², Part I: dynamics (2007) / with A. Bonifant and M. Dabija --Schwarzian derivatives and cylinder maps (2008) / with A. Bonifant --
Cubic polynomial maps with periodic critical orbit, Part I (2009) --
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 A. Bonifant and J. Kiwi --
Hyperbolic components (2012) / with an appendix by A. Poirier. Topological entropy. Iterative methods (Mathematics) Dynamics. Ergodic theory.
