WorldCat Identities

McMullen, Curtis T.

Overview
Works: 9 works in 47 publications in 2 languages and 1,926 library holdings
Roles: Author
Classifications: QC20.7.R43, 530.1430151
Publication Timeline
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Most widely held works by Curtis T McMullen
Complex dynamics and renormalization by Curtis T McMullen( Book )

11 editions published in 1994 in English and held by 429 WorldCat member libraries worldwide

Renormalization and 3-manifolds which fiber over the circle by Curtis T McMullen( Book )

16 editions published between 1996 and 2014 in English and held by 362 WorldCat member libraries worldwide

Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quantitative proof of convergence of renormalization
Logic minimization algorithms for VLSI synthesis by Robert King Brayton( Book )

6 editions published between 1984 and 1990 in English and held by 19 WorldCat member libraries worldwide

Commensurations of Out(F n). Dynamics on blowups of the projective plane / by Curtis T. McMullen [u.a.] by Benson Farb( Book )

5 editions published in 2007 in English and held by 7 WorldCat member libraries worldwide

Un critère d'extension des foncteurs définis sur les schémas lisses. Invariants l 2 de relations d'équivalence et de groupes / par Damien Gaboriau [u.a.] by Francisco Guillén( Book )

2 editions published in 2002 in French and held by 3 WorldCat member libraries worldwide

Renormalization and 3-Manifolds Which Fiber Over the Circle (AM-142) by Curtis T McMullen( Book )

1 edition published in 2014 in Undetermined and held by 1 WorldCat member library worldwide

The geometry of 3-manifolds by Curtis T McMullen( Visual )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Complex Dynamics and Renormalization (AM-135) by Curtis T McMullen( )

2 editions published between 1995 and 2016 in English and held by 0 WorldCat member libraries worldwide

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps
Coxeter groups, Salem numbers and the Hilbert metric by Curtis T McMullen( )

in English and held by 0 WorldCat member libraries worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.41 (from 0.21 for Renormaliz ... to 1.00 for Coxeter gr ...)

Complex dynamics and renormalization
Alternative Names
Curtis McMullen Amerikaans wiskundige

Curtis McMullen US-amerikanischer Mathematiker

Curtis T. McMullen amerikansk matematikar

Curtis T. McMullen amerikansk matematiker

Curtis T. McMullen matematico statunitense

Curtis T. McMullen mathématicien américain

Curtis Tracy McMullen

Mac Mullen, Curtis T.

Mac Mullen Curtis T. 1958-....

MacMullen, Curtis T.

MacMullen Curtis T. 1958-....

Mc Mullen, Curtis T.

Mc Mullen Curtis T. 1958-....

McMullen, Curtis T.

McMullen, Curtis Tracy.

Кёртис Макмуллен

Кертіс МакМаллен

Քըրթիս ՄակՄյուլեն

קרטיס מקמולן

كورتيس مكمولن

کرٹس مکملن

کورتیس تی مولن ریاضی‌دان آمریکایی

কার্টিস টি. ম্যাক্‌মালেন

ကားတစ် တီ မက်မောလန်

커티스 맥멀린

カーティス・マクマレン

柯蒂斯·麥克馬倫

Languages
English (42)

French (2)

Covers
Renormalization and 3-manifolds which fiber over the circleLogic minimization algorithms for VLSI synthesis