MAT-8810 PhD matematikk - Measure theory. Ergodic theory and applications.

Syllabus: The course will very briefly cover the essence of measure
and integration theories. Then it will go to thermodynamic formalism
and applications to dynamical systems. The finishing point maybe
the spectrum theory of differentiable transformations.
The middle part will be a crash-course read by professor Y. Pesin
from Penn State University.

Work Load: 10 credits (ECTS)

Lectures:
Monday 12:15-14:00 - U1 (A228);
Thursday 12:15-14:00 - U1 (A228).

Begining of the course: Monday 22.08. kl. 12.12, U.rom 1.

Exercises:
upon agreement.

Exam: Oral. December 2005.

Literature:
P.R. Halmosh "Measure Theory";
J.C. Oxtoby "Measure and category";
D. Ruelle "Thermodynamic formalism".