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The Hausdorff dimension of general Sierpiński carpets

- C. McMullen
- Mathematics
- 1 December 1984

In this note we determine the Hausdorff dimension of a family of planar sets which are generalizations of the classical Cantor set.

Complex Dynamics and Renormalization

- C. McMullen
- Mathematics
- 29 November 1994

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… Expand

Renormalization and 3-Manifolds Which Fiber over the Circle

- C. McMullen
- Mathematics
- 8 July 1996

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… Expand

Logic Minimization Algorithms for VLSI Synthesis

- R. Brayton, G. Hachtel, C. McMullen, A. Sangiovanni-Vincentelli
- Mathematics, Computer Science
- The Kluwer International Series in Engineering…
- 31 August 1984

1. Introduction.- 1.1 Design Styles for VLSI Systems.- 1.2 Automatic Logic Synthesis.- 1.3 PLA Implementation.- 1.4 History of Logic Minimization.- 1.5 ESPRESSO-II.- 1.6 Organization of the Book.- 2.… Expand

Area and Hausdorff dimension of Julia sets of entire functions

- C. McMullen
- Mathematics
- 1987

We show the Julia set of A sin(z) has positive area and the action of A sin(z) on its Julia set is not ergodic; the Julia set of A exp(z) has Hausdorff dimension two but in the presence of an… Expand

Dynamics on K3 Surfaces: Salem Numbers and Siegel Disks

- C. McMullen
- Mathematics
- 8 January 2002

This paper presents the first examples of K3 surface automorphisms \(f : X \rightarrow X\) with Siegel disks (domains on which f acts by an irrational rotation). The set of such examples is… Expand

The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology

- C. McMullen
- Mathematics
- 2002

Let M be a connected, compact, orientable 3-manifold with b1(M) > 1, whose boundary (if any) is a union of tori. Our main result is the inequality kk A ≤ kk T between the Alexander norm on H 1 (M,… Expand

Complex Earthquakes and Teichmuller Theory

- C. McMullen
- Mathematics
- 1998

It is known that any two points in Teichmuller space are joined by an earthquake path. In this paper we show any earthquake path R → T (S) extends to a proper holomorphic mapping of a simplyconnected… Expand

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