Complex dynamics : families and friends
著者
書誌事項
Complex dynamics : families and friends
A K Peters, c2009
大学図書館所蔵 全10件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston. Some of the chapters, including an introduction by Thurston to the general subject of complex dynamics, are classic manuscripts that were never published before but have influenced the field for more than two decades. Other chapters contain fresh, original work and bring readers to the current frontier of research. The title reflects the fruitful interplay between diverse mathematical fields bound together by the common theme of complex dynamics, including hyperbolic geometry, number theory, group theory, combinatorics, general dynamics, and many more. At the same time, the title alludes to the spirit of mathematical friendship among the researchers in this area. This book is a tribute to John Hubbard, one of the most inspiring pioneers in the field of complex dynamics.
目次
Polynomial Dynamics from Combinatorics to Topology. On the Geometry and Dynamics of Iterated Rational Maps. Appendix: Laminations, Julia Sets, and the Mandelbrot Set. Wandering Gaps for Weakly Hyperbolic Polynomials. Combinatorics of Polynomial Iterations. The Unicritical Branner-Hubbard Conjecture. A Priori Bounds for Some Infinitely Renormalizable Quadratics, III: Molecules. Beyond Polynomials: Rational and Transcendental Dynamics. The Connectivity of the Julia Set and Fixed Points. The Rabbit and Other Julia Sets Wrapped in Sierpinski Carpets. The Teichmuller Space of an Entire Function. Two Complex Dimensions. Cubic Polynomial Maps with Periodic Critical Orbit, Part I. Analytic Coordinates Recording Cubic Dynamics. Cubic Polynomials: A Measurable View of Parameter Space. Bifurcation Measure and Postcritically Finite Rational Maps. Real Dynamics of a Family of Plane Birational Maps: Trapping Regions and Entropy Zero. Making New Friends. The Hunt for Julia Sets with Positive Measure. On Thurston's Pullback Map. On the Boundary Behavior of Thurston's Pullback Map. Computing Arithmetic Invariants for Hyperbolic Reflection Groups.
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