Contents of Volume 22, Number 1

All articles in this issue are freely accessible.

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

David L. Donoho and Jared Tanner.
J. Amer. Math. Soc. 22 (2009), 1-53
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Analytic projections, Corona problem and geometry of holomorphic vector bundles

Sergei Treil and Brett D. Wick.
J. Amer. Math. Soc. 22 (2009), 55-76
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Exponential Thurston maps and limits of quadratic differentials

John Hubbard, Dierk Schleicher and Mitsuhiro Shishikura.
J. Amer. Math. Soc. 22 (2009), 77-117
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The structure of locally finite varieties with polynomially many models

Paweł Idziak, Ralph McKenzie and Matthew Valeriote.
J. Amer. Math. Soc. 22 (2009), 119-165
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Tug-of-war and the infinity Laplacian

Yuval Peres, Oded Schramm, Scott Sheffield and 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 and Ronald DeVore.
J. Amer. Math. Soc. 22 (2009), 211-231
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Constructible sheaves and the Fukaya category

David Nadler and Eric Zaslow.
J. Amer. Math. Soc. 22 (2009), 233-286
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Manifolds with $1/4$-pinched curvature are space forms

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