Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 119, Number 1

#### Publication Date: 15 July 2003

On a geometric description of ${\rm Gal}(\overline {\mathbf {Q}}\sb p/\mathbf {Q}\sb {p})$ and a p-adic avatar of $\widehat{GT}$

Yves André; 1-39

Entropy jumps in the presence of a spectral gap

Keith Ball, Franck Barthe and Assaf Naor; 41-63

Propagation in Hamiltonian dynamics and relative symplectic homology

Paul Biran, Leonid Polterovich and Dietmar Salamon; 65-118

Singularities and Chern-Weil theory, II: Geometric atomicity

F. Reese Harvey and H. Blaine Lawson; 119-158

Ellipsoids and matrix-valued valuations

Monika Ludwig; 159-188

Siegel disks with critical points in their boundaries

Jacek Graczyk and Grzegorz Świątek; 189-196