How to study for the exam

I have now posted some detailed notes on Blackboard, on how to best prepare for the exam. In this note I detail in particular material that you need not study in detail and I provide a description of the material that will feature in the exam.

Master's exam question material

As earlier flagged, the material of the last lecture forms the basis for the final question (5) of the exam, which is not to be answered by M3 students. The relevant handwritten notes for this lecture have now been posted on Blackboard under the name "Symbolic Dynamics 2D".

Solutions to exercises of chapter 5.

I have now posted the answers to the chapter 5 exercises on Blackboard. I had inadvertently forgotten to do so earlier. Thanks to one of you for pointing this out. The model solutions are now on blackboard.

Final lecture 11/12 about Master's exam question

The last lecture of the course will be entirely dedicated to the material that covers the Master's exam question (the 5th exam question, for MSci and MSc students only). This material will concern some examples of chaotic dynamics in two dimensions: horseshoes and hyperbolic total automorphisms.

Relevant handouts will be posted in due course.

Exercise class 7/12 about Chapter 5 exercises

The lecture of Fri 7/12 will be an exercise class (moderated by Andrew Clarke) about the exercises of chapter 5 in the course notes by Dr Rasmussen.

There is an opportunity to get feedback on your own work on these exercises (not for credit) if you hand in your work by wed 5/12, 5pm in my mailbox in the staff mailroom on Huxley 6th floor.

Exercise class 30/11 about the exercises on the "symbolic dynamics" notes

The lecture of Fri 30/11 will be an exercise class about the exercises of chapter four on my notes on symbolic dynamics.

There is an opportunity to get feedback on your own work on these exercises (not for credit) if you hand in your work by wed 28/11, 5pm in my mailbox in the staff mailroom on Huxley 6th floor.

Model answers for these exercises have now been posted on blackboard (if you do not have access but would like to get them, drop me an e-mail at jswlamb@ic.ac.uk).

Dynamics of (sub)shifts

In the lectures we skipped section 3 of chapter 4 of Martin Rasmussen's notes (on Chaos in 2 dimensions: the horseshoe mapping) and instead discussed one-dimensional dynamics
(semi-)conjugate to subshifts associated to topological Markov Chains. You find relevant notes (by me) on Blackboard, as well as part of Chapter 7 from Hasselblatt and Katok (broadly dealing with the same matter).