Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday (PMS-51): 43 (Princeton Mathematical Series, 43) - Hardcover

Bonifant, Araceli; Lyubich, Misha; Sutherland, Scott

Hardcover

ISBN 10: 0691159297 ISBN 13: 9780691159294

Verlag: Princeton University Press, 2014

Inhaltsangabe

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 GARCÍA-COMPEÁN, WILLIAM GOLDMAN, ROTISLAV GRIGORCHUK, JOHN HUBBARD, YUNPING JIANG, LINDA KEEN, JAN KIWI, GENADI LEVIN, DANIEL MEYER, JOHN MILNOR, CARLOS MOREIRA, VINCENTE MUÑOZ, VIET-ANH NGUYÊN, LEX OVERSTEEGEN, RICARDO PÉREZ-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.

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Reseña del editor:

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.

Biografía del autor:

Araceli Bonifant is associate professor of mathematics at the University of Rhode Island. Misha Lyubich is director of the Institute for Mathematical Sciences and professor of mathematics at Stony Brook University. Scott Sutherland is associate professor of mathematics at Stony Brook University.

Über diese Auflage

• Verlag: Princeton University Press
• Erscheinungsdatum: 2014
• ISBN 10: 0691159297
• ISBN 13: 9780691159294
• Einband: Tapa dura
• Anzahl der Seiten: 800