Contents of Volume 22, Number 1

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Counting faces of randomly projected polytopes when the projection radically lowers dimension

David L. Donoho; Jared Tanner
J. Amer. Math. Soc. 22 (2009), 1-53.
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MathSciNet review: 2449053

Analytic projections, Corona problem and geometry of holomorphic vector bundles

Sergei Treil; Brett D. Wick
J. Amer. Math. Soc. 22 (2009), 55-76.
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MathSciNet review: 2449054

Exponential Thurston maps and limits of quadratic differentials

John Hubbard; Dierk Schleicher; Mitsuhiro Shishikura
J. Amer. Math. Soc. 22 (2009), 77-117.
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MathSciNet review: 2449055

The structure of locally finite varieties with polynomially many models

Paweł Idziak; Ralph McKenzie; Matthew Valeriote
J. Amer. Math. Soc. 22 (2009), 119-165.
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MathSciNet review: 2449056

Tug-of-war and the infinity Laplacian

Yuval Peres; Oded Schramm; Scott Sheffield; David B. Wilson
J. Amer. Math. Soc. 22 (2009), 167-210.
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MathSciNet review: 2449057

Compressed sensing and best $k$-term approximation

Albert Cohen; Wolfgang Dahmen; Ronald DeVore
J. Amer. Math. Soc. 22 (2009), 211-231.
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MathSciNet review: 2449058

Constructible sheaves and the Fukaya category

David Nadler; Eric Zaslow
J. Amer. Math. Soc. 22 (2009), 233-286.
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MathSciNet review: 2449059

Manifolds with $1/4$-pinched curvature are space forms

Simon Brendle; Richard Schoen
J. Amer. Math. Soc. 22 (2009), 287-307.
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MathSciNet review: 2449060