TY - BOOK AU - Milnor,John AU - Bonifant,Araceli TI - Dynamical systems T2 - Collected papers of John Milnor SN - 9780821891391 (vi) U1 - 515.39 23 PY - 2012///. (VI) PY - 2014///. (VII) CY - Providence PB - American Mathematical Society KW - Topological dynamics KW - Topological entropy KW - Iterative methods (Mathematics) KW - Dynamics. KW - Ergodic theory. N1 - VI: 1953-2000 VII: 1984-2012; Includes bibliographical references and indexes; 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-- Acknowledgments -- Addendum: updated references -- Introduction -- Notes on surjective cellular automaton-maps (unpublished manuscript of 1984) -- Tsujii's monotonicity proof for real quadratic maps (unpublished manuscript of 2000) -- Local connectivity of Julia sets: expository lectures (2000) -- On rational maps with two critical points (2000) -- Periodic orbits,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 ER -