Volume 122, Issue 3 – November 1985

## Tate’s conjecture for $K3$ surfaces of finite height

Pages 461-507 by Niels Nygaard, Arthur Ogus

## The metric entropy of diffeomorphisms. Part I. Characterization of measures satisfying Pesin’s entropy formula

Pages 509-539 by François Ledrappier, Lai-Sang Young

## The metric entropy of diffeomorphisms. Part II. Relations between entropy, exponents and dimension

Pages 540-574 by François Ledrappier, Lai-Sang Young

## Hilbert transforms along curves I. Nilpotent groups

Pages 575-596 by Michael Christ

## Nonpositively curved manifolds of higher rank

Pages 597-609 by Werner Ballmann