Papers by Curtis McMullen
Acta Mathematica, 1989
According to Dickson, Euler believed every algebraic equation was solvable by radi-cals [2]. The ... more According to Dickson, Euler believed every algebraic equation was solvable by radi-cals [2]. The quadratic formula was known to the Babylonians; solutions of cubic and quartic polynomials by radicals were given by Scipione del Ferro, Tartaglia, Cardano and Ferrari in the mid-...
The roots of the project which culminates with the writing of this book can be traced to the work... more The roots of the project which culminates with the writing of this book can be traced to the work on logic synthesis started in 1979 at the IBM Watson Research Center and at University of California, Berkeley. During the preliminary phases of these projects, the importance of logic minimization for the synthesis of area and performance effective circuits clearly emerged. In 1980, Richard Newton stirred our interest by pointing out new heuristic algorithms for two-level logic minimization and the potential for improving upon existing ...
Solid-State Circuits IEEE International Conference, 1980
Mobile carrier transport in semiconductors, simulated in three dimensions, using the finite eleme... more Mobile carrier transport in semiconductors, simulated in three dimensions, using the finite element method, will be reported. The algorithm has been used to model the combined effect of short channel lengths and narrow channel widths on the threshold of an IGFET.
Eprint Arxiv Math 9205209, May 1, 1992
Contents: 1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in quasiconformal ... more Contents: 1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in quasiconformal surgery; Curt McMullen, Rational maps and Teichm\"uller space; John Milnor, Thurston's algorithm without critical finiteness; Mary Rees, A possible approach to a complex renormalization problem. 2. Geometry of Julia Sets: Lennart Carleson, Geometry of Julia sets; John Milnor, Problems on local connectivity. 3. Measurable Dynamics: Mikhail Lyubich, Measure and Dimension of Julia Sets; Feliks Przytycki, On invariant measures for iterations of holomorphic maps. 4. Iterates of Entire Functions: Robert Devaney, Open questions in non-rational complex dynamics; Alexandre Eremenko and Mikhail Lyubich, Wandering domains for holomorphic maps. 5. Newton's Method: Scott Sutherland, Bad polynomials for Newton's method
IEEE International Symposium on Circuits and Systems, 1985
Annales Academiae Scientiarum Fennicae Mathematica, Apr 6, 1998
A 3-manifold is tame if it is homeomorphic to the interior of a compact manifold with boundary. M... more A 3-manifold is tame if it is homeomorphic to the interior of a compact manifold with boundary. Marden's conjecture asserts that any hyperbolic 3-manifold M = H 3 /Γ with π 1 (M ) finitely-generated is tame.
The Kluwer International Series in Engineering and Computer Science, 1984
The roots of the project which culminates with the writing of this book can be traced to the work... more The roots of the project which culminates with the writing of this book can be traced to the work on logic synthesis started in 1979 at the IBM Watson Research Center and at University of California, Berkeley. During the preliminary phases of these projects, the importance of logic minimization for the synthesis of area and performance effective circuits clearly emerged. In 1980, Richard Newton stirred our interest by pointing out new heuristic algorithms for two-level logic minimization and the potential for improving upon existing ...
The Kluwer International Series in Engineering and Computer Science, 1984
The Kluwer International Series in Engineering and Computer Science, 1984
Proceedings of the 1998 IEEE International Symposium on Electronics and the Environment. ISEE - 1998 (Cat. No.98CH36145), 1998
Abstract This joint study between Environment Canada and Northern Telecom aimed at carrying out a... more Abstract This joint study between Environment Canada and Northern Telecom aimed at carrying out an LCA on a manufactured product, the Nortel M7310 business telephone, in order to identify improvement strategies. The telephone, invented a century ago, by Alexander Graham Bell in Canada, is emblematic of a sophisticated but common everyday product. As such, this study provides an excellent demonstration of the benefits of design-for-environment. This paper describes the details of the methodology
The basin of infinity of a polynomial map $f : {\bf C} \arrow {\bf C}$ carries a natural foliatio... more The basin of infinity of a polynomial map $f : {\bf C} \arrow {\bf C}$ carries a natural foliation and a flat metric with singularities, making it into a metrized Riemann surface $X(f)$. As $f$ diverges in the moduli space of polynomials, the surface $X(f)$ collapses along its foliation to yield a metrized simplicial tree $(T,\eta)$, with limiting dynamics $F
HOT TAMALE (T. Turner) -When questioned regarding the disappointing performance, rider advised th... more HOT TAMALE (T. Turner) -When questioned regarding the disappointing performance, rider advised that the filly had raced in its customary position and had failed to finish the race off as anticipated. A post race Veterinary examination revealed no abnormalities. DE TROY ROY (C. Harvey) -Over-raced in the middle stages getting its head in the air. Returned having cast its off fore plate during running. THE PUPSTER (S. McGruddy) -Slow to begin. Raced wide from the 500m. Trainer Mr S. Wolfe advised that consideration would now be given to placing blinkers on the gelding for its next start. BUNGARRA (T. Ikenushi) -Trainer Mr S. Wolfe advised that the gelding would now be sent for a spell. RACE 2: THE GATE BAR & BISTRO HANDICAP -1600M DANGEROUS DANE (K. Yuill) -Brushed the running rail near the 500m. BEYOND REPUTE (B. Parnham) -Steadied passing the 1500m. ESCAPE VELOCITY (W. Pike) -Raced keenly in the early stages and brushed passing the 1500m ARCTIC WATERS (J. Noske) -Raced wide in the early stages and from the 500m. A post race Veterinary examination revealed no abnormalities. RACE 3: THE CARLTON DRAUGHT HANDICAP -1600M CARBINEER (W. Pike) -A post race Veterinary examination revealed no abnormalities. Trainer Ms E.
Journal of Algebra, 2002
In this paper we study the characteristic polynomials
Acta Mathematica, 1989
Equations that can be solved using iterated rational maps are characterized: an equation is 'comp... more Equations that can be solved using iterated rational maps are characterized: an equation is 'computable' if and only if its Galois group is within A 5 of solvable. We give explicitly a new solution to the quintic polynomial, in which the transcendental inversion of the icosahedral map (due to Hermite and Kronecker) is replaced by a purely iterative algorithm. The algorithm requires a rational map with icosahedral symmetries; we show all rational maps with given symmetries can be described using the classical theory of invariant polynomials.
Journal of Number Theory, 2009
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Papers by Curtis McMullen