viii

CONTENTS

Part II. Applications and Other Dynamical Results

Idempotent measures associated to a locally compact topological group

D. DOKKEN

169

Another proof of Moore's ergodicity theorem for

S£(2,

JR)

S. ADAMS

183

Multiple recurrence and doubly minimal systems

B. WEISS

189

Subset dynamics and van der Waerden's theorem

H.

FURSTENBERG AND

E.

GLASNER

197

Recurrence for semigroup actions and a non-commutative Schur theorem

V.

BERGELSON AND R. MCCUTCHEON

205

A note on Livsic's periodic point theorem

Z.

COELHO, W. PARRY, AND

R.

WILLIAMS

223

A zero-one law for dynamical properties

E.

GLASNER AND J.

L.

KING

231

Residuality and orbit equivalence

D. RUDOLPH

243

Uncountably many Vershik-inequivalent group actions of equal entropy

J. FELDMAN

255

Part III. Applications to Differential Equations

Positive exponents for a dense set of continuous

S£(2,

R) valued cocycles

which arise

as

solutions to strongly accessible linear differential systems

M. NERURKAR

265

Topological dynamics and differential equations

G. SELL, W. SHEN, AND Y. YI

279

An ergodic and topological approach to almost periodic bidimensional linear

systems

S. Novo AND R. OBAYA

An application of topological dynamics to bifurcation theory

R. JOHNSON

299

323