Dynamical systems (1984-2012)

Dynamical systems (1984-2012)

by Milnor, John W., (John Willard)

Type Book
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This 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, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time. The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, a…

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Title Statements

  • Full title :Dynamical systems (1984-2012) / Araceli Bonifant, editor.

Summary

This 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, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time. 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. Some of the questions addressed here continue to be i.

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Edition Statements

  • Publication Date:©2014

Publication Statements

The Physical Object

  • Description:1 online resource.

Edition Identifiers

  • ISBN:9781470417154, 1470417154
  • oclc:on1151237736
  • LC Classification:QA845.M55 2014
  • Dewey Decimal:515.39

Table of Contents

Cover -- Frontispiece -- Title page -- Copyright page -- Contents -- Preface -- Dedicated to Adrien Douady (1935-2006) -- Acknowledgments -- Addendum: Updated References -- Introduction -- Notes on surjective cellular automaton-maps (Unpublished manuscript of 1984) -- Tsujii's monotonicity proof for real quadratic maps (Unpublished manuscript of 2000) -- Local connectivity of julia sets: Expository lectures -- On rational maps with two critical points -- Periodic orbits, external rays and the Mandelbrot set: An expository account -- Pasting together Julia sets-A worked out example of mating

On Lattés maps -- Elliptic curves as attractors in ℙ², Part 1: Dynamics -- Schwarzian derivatives and cylinder maps -- Cubic polynomial maps with periodic critical orbit, part I -- Cubic polynomial maps with periodic critical orbit, part II: Escape regions -- Errata to "Cubic polynomial maps with periodic critical orbit, Part II: Escape regions" -- Hyperbolic components with an appendix by A. Poirier -- Index -- Back Cover

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