This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by

Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exc

The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence pr

This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to u

This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dyn