Volume 118, Issue 3 – November 1983

## Stability of parametrized families of gradient vector fields

Pages 338-421 by Jacob Palis, Floris Takens

## The structure of the Torelli group I. A finite set of generators for $\mathcal{J}$

Pages 423-442 by Dennis Johnson

## A criterion for analytic hypoellipticity of a class of differential operators with polynomial coefficients

Pages 443-460 by Alain Grigis, Linda Preiss Rothschild

## On virtual representations of symmetric spaces and their analytic continuation

Pages 461-489 by Jürg Fröhlich, Konrad Osterwalder, Erhard Seiler

## On the homology of the moduli space of stable curves

Pages 491-523 by Scott Wolpert

## Asymptotics for a class of non-linear evolution equations, with applications to geometric problems

Pages 525-571 by Leon Simon

## An analogue of the prime number theorem for closed orbits of Axiom A flows

Pages 573-591 by William Parry, Mark Pollicott

## $L^2$-cohomology and index theorem for the Bergmann metric

Pages 593-618 by Harold Donnelly, Charles Fefferman