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Collected Papers of John Milnor, Volume VI: Dynamical Systems (1953-2000) [Kietas viršelis]

  • Formatas: Hardback, 535 pages, weight: 1109 g
  • Serija: Collected Works
  • Išleidimo metai: 28-May-2013
  • Leidėjas: American Mathematical Society
  • ISBN-10: 0821891391
  • ISBN-13: 9780821891391
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 535 pages, weight: 1109 g
  • Serija: Collected Works
  • Išleidimo metai: 28-May-2013
  • Leidėjas: American Mathematical Society
  • ISBN-10: 0821891391
  • ISBN-13: 9780821891391
Kitos knygos pagal šią temą:
This book, the sixth in the series ``Collected Papers of John Milnor'', contains all of Milnor's work on Real and Complex Dynamics from 1953 to 1999, plus one paper from 2000. These papers provide important and fundamental material in real and complex dynamical systems. Many of them have become classics in the field. Several questions addressed in them continue to be important in current research. Having them together in the same volume gives readers a taste of all the great mathematics developed by the author in the different areas of dynamics. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. John Milnor's papers are accompanied by introductions that put them in perspective with respect to the current state of the field. There is also an index to facilitate searching the book for specific topics.
Preface vii
Dedication ix
Acknowledgments xi
PART I REAL DYNAMICS
1(236)
Introduction
3(12)
The characteristics of a vector field on the two-sphere (1953)
15(6)
On the concept of attractor (1985)
21(22)
On the concept of attractor: correction and remarks (1985)
43(4)
Directional entropies of cellular automaton-maps (1986)
47(4)
On the entropy geometry of cellular automata (1988)
51(30)
Non-expansive Henon maps (1988)
81(6)
On iterated maps of the interval (1988)
87(70)
W. Thurston
A monotonicity conjecture for real cubic maps (1995)
157(20)
S. P. Dawson
R. Galeeva
C. Tresser
On entropy and monotonicity for real cubic maps (2000)
177(56)
C. Tresser
A. Douady
P. Sentenac
Fubini foiled: Katok's paradoxical example in measure theory (1997)
233(4)
PART II COMPLEX DYNAMICS
237(294)
Introduction
239(16)
Dynamical properties of plane polynomial automorphisms (1989)
255(34)
S. Friedland
Self-similarity and hairiness in the Mandelbrot set (1989)
289(48)
Remarks on iterated cubic maps (1992)
337(34)
Geometry and dynamics of quadratic rational maps (1993)
371(68)
Tan Lei
The Fibonacci unimodal map (1993)
439(34)
M. Lyubich
Fixed points of polynomial maps. Part II: Fixed point portraits (1993)
473(48)
L. Goldberg
The mathematical work of Curt McMullen (1999)
521(10)
Index of Symbols 531(6)
Main Index 537