Volume 167 Issue 2 – March 2008

## Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses

Pages 325-348 by Kuo-Chang Chen

## Toward a theory of rank one attractors

Pages 349-480 by Qiudong Wang, Lai-Sang Young

## The primes contain arbitrarily long arithmetic progressions

Pages 481-547 by Ben Green, Terence Tao

## Cyclic homology, cdh-cohomology and negative $K$-theory

Pages 549-573 by Guillermo Cortiñas, Christian Haesemeyer, Marco Schlichting, Charles Weibel

## The Poincaré inequality is an open ended condition

Pages 575-599 by Stephen Keith, Xiao Zhong

## Growth and generation in $\mathrm{SL}_2(\mathbb{Z}/p \mathbb{Z})$

Pages 601-623 by Harald A. Helfgott

## Uniform expansion bounds for Cayley graphs of $\mathrm{SL}_2(F_p)$

Pages 625-642 by Jean Bourgain, Alex Gamburd

## Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents

Pages 643-680 by Marcelo Viana