How to prepare for the second class test on 22 November

The test will concern the following material:

Class notes of 18 October and 1 November concerning topological dynamics (starting at page 21 of the 18/11 class notes).

• attractors
• topological conjugacy
• symbolic dynamics 
• topological markov chains 
• topological entropy
• Problem sheet #2: questions 1(a,b), 2(a,b), 3, 4, 5
• Problem sheet #3: questions 1,2,3,5,6

Please note that you while not being the focus of the test, you will of course be expected to be familiar with the elementary notions of topological dynamics introduced earlier in the course.

Relevant lecture notes (see Blackboard)

• [HK] chap 7; section 7.3 (not section 7.3.3), section 7.4 1 (not sections 7.4.4 and 7.4.5)
• [MR] Dynamical systems lecture notes 2017: chapter 3 section 4 (topological entropy)
• [VG] Dynamical systems lecture notes 2013: chapter 4 (topological entropy) and chapter 5 (topological Markov chains)

The aim of the test is to get an impression of understanding, not whether you know the notes by heart. Please keep this in mind...