Text M. Brin and G. Stuck, Introduction to Dynamical Systems
Hk refers to problems from homework fileSection | Problems | Extra credit Problems | Due |
1.2 Circle Rotations | 1.2.1, 1.2.2, 1.2.3 | 1.2.4 | Sept. 14 |
1.3 Expanding Maps | 1.3.2, 1.3.3, 1.3.4 | 1.3.5 | Sept. 14 |
1.3 Expanding Maps | H1 | Sept. 18 | |
1.7 Toral automorhisms | 1.7. 1, H2 | H3 | Sept. 18 |
1.4 Shifts and subshifts | 1.4. 1, 1.4.4, 1.4.5 | Sept. 28 | |
1.6 Gauss map | H4, H6 | H5 | Sept. 28 |
1.5 Quadratic maps | 1.5.4, 1.5.5, 1.5.6 | Oct. 2 | |
1.11 Suspension and cross section | 1.11.2, H7 | 1.11.3 | Oct. 2 |
2.1 Recurrence | 2.1.3 | 2.1.11 | Oct. 9 |
2.2 Topological Transitivity | 2.2.3, 2.2.5 | 2.2.6 | Oct. 9 |
2.2 Topological Mixing | 2.3.2, 2.3.3 | Oct. 9 | |
2.4 Expansive transformations. | H8, H9 | Oct. 16 | |
2.5 Topological entropy | 2.5.4, 2.5.6 | 2.5.7 | Oct. 16 |
2.6 Computing topological entropy | 2.6.1, H10 | Oct. 16 | |
3.1 Subshifts and codes | 3.1.1, 3.1.3 | Oct. 26 | |
3.2 Subshifts of finite type | 3.2.1, 3.2.4 | 3.2.2 | Oct. 26 |
3.3 Perron-Frobenius Theorem | 3. 3.2, H11, H12, H13 | Oct. 26 | |
3.4 Dynamical zeta function | 3.4.3, 3.4.4, 3.4.5, 3.4.6 | 3.4.7 | Oct. 30 |
3.6 Substitutions | H14 | Nov. 6 | |
3.7 Sofic shifts | H15, 3.7.1 | Nov. 6 | |
4.1 Measure Theory | H16 | H17 | Nov. 6 |
4.2 Recurrence | 4.2.3, H18 | Nov. 13 | |
4.5 Ergodic Theorems | 4.5.1, 4.5.2, 4.5.5, 4.5.6 | Nov. 13 | |
4.3 Mixing | 4.3.2, 4.3.3, 4.3.5, H19, 4.3.6, 4.3.7 | Nov. 20 | 4.4 Examples | 4.4 | Nov. 20 |
4.6 Invariant measures | 4.6.3, 4.6.4 | 4.6.5 | Nov. 30 |
4.7 Unique Ergodicity | 4.7.5, 4.7.6, 4.7.8, 4.7.9 | Nov. 30 |