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

Araceli Bonifant, Misha Lyubich, and Scott Sutherland

Abstract

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 writt ... More

Keywords: John Milnor, differential topology, K-theory, dynamical systems, holomorphic dynamics, differential geometry, entropy theory, combinatorial group theory, William Thurston

Bibliographic Information

Print publication date: 2014 Print ISBN-13: 9780691159294
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691159294.001.0001

Authors

Affiliations are at time of print publication.

Araceli Bonifant, author
University of Rhode Island

Misha Lyubich, author
Stony Brook University

Scott Sutherland, author
Stony Brook University

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Contents

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Front Matter

Part I One Complex Variable

Dynamical cores of topological polynomials

Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin

Multicorns are not path connected

John Hamal Hubbard and Dierk Schleicher

On (non-)local connectivity of some Julia sets

Alexandre Dezotti and Pascale Roesch

Part II One Real Variable

Entropy in dimension one

William P. Thurston

Part III Several Complex Variables

Part IV Laminations and Foliations

Entropy for hyperbolic Riemann surface laminations I

Tien-Cuong Dinh, Viet-Anh Nguyên, and Nessim Sibony

Entropy for hyperbolic Riemann surface laminations II

Tien-Cuong Dinh, Viet-Anh Nguyên, and Nessim Sibony

Intersection theory for ergodic solenoids

Vicente Muñoz and Ricardo Pèrez-Marco

Invariants of four-manifolds with flows via cohomological field theory

Hugo García-Compeán, Roberto Santos-Silva, and Alberto Verjovsky

Part V Geometry and Algebra

End Matter