Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday

Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday
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复杂动力学前沿:庆祝约翰·米尔诺诞辰 80 周年

DOI:
10.1515/9781400851317
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发表时间:
2014
期刊:
arXiv: Dynamical Systems
影响因子:
--
通讯作者:
S. Sutherland
S. Sutherland
中科院分区:
--
文献类型:
--
作者:
Araceli Bonifant;M. Lyubich;S. Sutherland

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约翰·米尔诺以其在微分拓扑学、K-理论和动力系统方面的研究而闻名,他是获得菲尔兹奖、阿贝尔奖和沃尔夫奖的三位数学家之一,也是唯一一位同时获得勒罗伊·P·斯蒂尔奖的数学家。在荣誉,他的八十岁生日,这本书汇集了调查和论文的启发米尔诺的工作,从杰出的专家不仅研究全纯动力学的一个和几个变量,而且微分几何,熵理论,组合群论。这本书包含了威廉·瑟斯顿写的最后一篇论文,以及约翰·米尔诺本人的一篇短文。介绍部分把论文在数学和历史的角度来看,彩色数字包括在内,和一个索引方便浏览。这些收集将在未来几十年对学生和研究人员有用。贡献者是Marco Abate,Marco Arizzi,亚历山大Blokh,Thierry Bousch,Xavier Buff,Serge Cantat,Tao Chen,Robert Devaney,Alexandre Dezotti,Tien-Cuong Dinh,Romain Dujardin,Hugo Garcia-Comfort,William Goldman,Rotislav Grigorchuk,John Hubbard,Yunping Jiang,琳达Keen,Jan Kiwi,Genadi Levin,丹尼尔迈耶,约翰米尔诺,卡洛斯莫雷拉,Vincente Munoz,Viet-Anh Nguyen,Lex Oversteegen,Ricardo Perez-Marco、Ross Ptacek、Jasmin Raissy、Pascale Roesch、Roberto Santos-Silva、Dierk Schleicher、Nessim Sibony、丹尼尔斯马尼亚、Tan Lei、William Thurston、Vladlen Timorin、塞巴斯蒂安货车Strien和Alberto Verjovsky。
John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo Garcia-Compean, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Munoz, Viet-Anh Nguyen, Lex Oversteegen, Ricardo Perez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.