**MATH 404T(F) Ergodic Theory**** (Q)**

Ergodic theory studies the probabilistic behavior of dynamical systems as they
evolve through time. This course will be an introduction to the basic notions in
ergodic theory. The course will start with an introduction to the necessary topics
from measure theory: sigma-algebras, measurable sets and measurable transformations. Then we will cover ergodic, weak mixing, mixing, and Bernoulli
transformations, and transformations admitting and not admitting an invariant
measure. There will be an emphasis on specific examples such as group rotations, the binary odometer transformations, and rank-one constructions.

Format: tutorial. Evaluation will be based on presentations, problem assignments and exams.

Prerequisites: Mathematics 301* or* 305 *or *permission of instructor. *No enrollment limit (expected: 10).*

Tutorial meetings to be arranged. SILVA