Note: the starting times (note change!!) are modified as following:

MONDAYs: Lecture start at

8.15

(with a 10 minutes break 9.00-9.10)

TUESDAYs: Lecture start at 10.20 (with a 10 minutes break 10.05-11.15)

Recordings are NOT Recordings are NOT available for this class.   Only the first class is recorded (link above). The lecture notes (available under the Downloads Tab) cover quite systematically the lecture content. A list of topics covered and references to the notes is available here below.

List of Topics covered (with references to Lecture notes Sections):

• Lecture 1 (Monday, 16/2): Introduction and overview (Section 1.1)
• Lecture 2 (Tuesday, 17.2): The logistic family; graphical analysis, attracting and repelling fixed points (Section 1.2, with all subsections)
• Lecture 3 (Monday 23/2) Rotations of the circle: dichotomy for rotations and Weyl equidistribution (Section 1.3)
• Lecture 4 (Tuesday, 24/2) The doubling map: periodic points, shift map and (semi)-conjugacies (beginning of Section 1.5, Sec 1.5.1, Sect. 1.5.2 until Prop.1).
• Lecture 5 (Monday 2/3 The doubling map continued: itineraries and coding (Sec 1.5.2, existence of dense orbits (completed Sec 1.5), definition of baker map (beginning of Sec. 1.7)
• Lecture 6 (Tuesday 3/3 Itineraries and conjugaces for the baker map (completed Sec. 1.7), definition of the CAT map (beginning Sec. 1.8)