Volume 155 Issue 1 – January 2002

## Deviation of ergodic averages for area-preserving flows on surfaces of high genus

Pages 1-103 by Giovanni Forni

## Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry

Pages 105-129 by Alexandre Eremenko, Andrei Gabrielov

## Braid groups are linear

Pages 131-156 by Daan Krammer

## Entropy waves, the zig-zag graph product, and new constant-degree expanders

Pages 157-187 by Omer Reingold, Salil Vadhan, Avi Wigderson

## Discrete analogues in harmonic analysis: Spherical averages

Pages 189-208 by Akos Magyar, Elias M. Stein, Stefan Wainger

## Embeddedness of minimal surfaces with total boundary curvature at most $4\pi$

Pages 209-234 by Tobias Ekholm, Brian White, Daniel Wienholtz

## Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation

Pages 235-280 by Yvan Martel, Frank Merle