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 66, Number 3

#### Publication Date: June 1992

Families of Galois representations—increasing the ramification

Nigel Boston; 357-367

Squares in arithmetic progressions

Enrico Bombieri, Andrew Granville and János Pintz; 369-385

Hausdorff dimension of the set of nonergodic foliations of a quadratic differential

Howard Masur; 387-442

Operators on weighted Bergman spaces $(0 < p \leq 1)$ and applications

Oscar Blasco; 443-467

Spectral convergence on degenerating surfaces

Lizhen Ji and Richard Wentworth; 469-501

Bourgain algebras of the disk, polydisk, and ball algebras

Keiji Izuchi; 503-519

Directional differentiability of the rotation number for the almost-periodic Schrödinger equation

Rafael Obaya and Miguel Paramio; 521-552