1

General measure theory

2

General measure theory (cont.)

3

Ergodic theorems

4

Ergodicity, unique ergodicity, and equidistribution

5

Hausdorff measure and Hausdorff dimension

6

Examples; self similar sets and their dimensions

7

self similar sets (cont.) and space filling curves

8

Besicovitch sets and regularity

9

Besicovitch sets in two dimensions

10

Projections of subsets of R^2

11

Bernoulli convolutions

12

Review; further topics; etc.