TOPICS IN DYNAMICS AND ERGODIC THEORY

By PATRICIA HARRIS

CONTENTS INTRODUCTORY TALK AT THE OPENING OF THE CONFERENCE MINIMAL IDEMPOTENTS AND ERGODIC RAMSEY THEORY SYMBOLIC DYNAMICS AND TOPOLOGICAL MODELS IN DIMENSIONS 1 AND 2 MARKOV ODOMETERS GEOMETRIC PROOFS OF MATHER’S CONNECTING AND ACCELERATING THEOREMS STRUCTURAL STABILITY IN ONE DIMENSIONAL DYNAMICS PERIODIC POINTS OF NONEXPANSIVE MAPS:A SURVEY ARITHMETIC DYNAMICS THE DEFECT OF FACTOR MAPS AND FINITE EQUIVALENCE OF DYNAMICAL SYSTEMS ACTIONS OF AMENABLE GROUPS