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Dynamics on the Unit Disk: Short Geodesics and Simple Cycles

McMullen, Curtis T. (European Mathematical Society, 2010)

Winning Sets, Quasiconformal Maps and Diophantine Approximation

McMullen, Curtis T. (Springer, 2010)

This paper describes two new types of winning sets in \(\mathbb{R}^n\), defined using variants of Schmidt’s game. These strong and absolute winning sets include many Diophantine sets of measure zero and first category, and ...

Rational Maps and \(Teichm\ddot{u}ller\) Space

McMullen, Curtis T. (Springer, 1994)

Riemann Surfaces and the Geometrization of 3-Manifolds

McMullen, Curtis T. (American Mathematical Society, 1992)

Rational Maps and Kleinian Groups

McMullen, Curtis T. (Springer, 1991)

Quasiconformal Isotopies

Earle, Clifford J.; McMullen, Curtis T. (Springer, 1988)

Automorphisms of Rational Maps

McMullen, Curtis T. (Springer, 1988)

Braid Groups and Hodge theory

McMullen, Curtis T. (Springer, 2012)

This paper gives an account of the unitary representations of the braid group that arise via the Hodge theory of cyclic branched coverings of \(\mathbb{P}^1\) , highlighting their connections with ergodic theory, complex ...

Navigating Moduli Space with Complex Twists

McMullen, Curtis T. (European Mathematical Society, 2012-11-16)

Dynamics on Algebraic Surfaces

McMullen, Curtis T. (Max-Planck Institut, 2007)

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