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
.
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
11 editions published in 1994 in English and held by 429 WorldCat member libraries worldwide
Renormalization and 3manifolds 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 fixedpoints 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 quadraticlike maps, and leads to a quantitative proof of convergence of renormalization
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 fixedpoints 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 quadraticlike 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
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
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
2 editions published in 2002 in French and held by 3 WorldCat member libraries worldwide
Renormalization and 3Manifolds Which Fiber Over the Circle (AM142) by
Curtis T McMullen(
Book
)
1 edition published in 2014 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 2014 in Undetermined and held by 1 WorldCat member library worldwide
The geometry of 3manifolds by
Curtis T McMullen(
Visual
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Complex Dynamics and Renormalization (AM135) 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
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
in English and held by 0 WorldCat member libraries worldwide
Audience Level
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Associated Subjects
Algebra, Homological Algorithms Automorphisms Computeraided design Computer engineering Computer science Computer scienceMathematics Coxeter groups Differentiable dynamical systems Dynamics Geometry, Algebraic Geometry, Differential Group theory Integrated circuitsDesign and constructionData processing Integrated circuitsVery large scale integration Logic design Mathematical physics Polynomials Renormalization (Physics) Series Threemanifolds (Topology) Topology
Alternative Names
Curtis McMullen Amerikaans wiskundige
Curtis McMullen USamerikanischer 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
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