Volume 158 Issue 2 – September 2003

A $C^1$-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources

Pages 355-418 by Christian Bonatti, Lorenzo Díaz, Enrique R. Pujals

Pair correlation densities of inhomogeneous quadratic forms

Pages 419-471 by Jens Marklof

Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements

Pages 473-507 by Alexandru Dimca, Stefan Papadima

The ionization conjecture in Hartree-Fock theory

Pages 509-576 by Jan Philip Solovej

Moduli spaces of surfaces and real structures

Pages 577-592 by Fabrizio Catanese

Deligne’s conjecture on 1-motives

Pages 593-633 by Luca Barbieri-Viale, Andreas Rosenschon, Morihiko Saito

Hochschild cohomology of factors with property $\Gamma$

Pages 635-659 by Erik Christensen, Florin Pop, Allan M. Sinclair, Roger R. Smith

Hausdorff dimension of the set of nonergodic directions (with an Appendix by M. Boshernitzan)

Pages 661-678 by Yitwah Cheung, Michael Boshernitzan

Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order

Pages 679-710 by Ingrid Daubechies, Ron DeVore