Saturday, December 1, 2018

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).

Thursday, November 15, 2018

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). 

Tuesday, November 6, 2018

Exercise class 16/11 about Chapter 4 exercises

The lecture of Fri 16/11 will be an exercise class (moderated by Andrew Clarke) about the exercises of chapter four 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 14/11, 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).

Tuesday, October 23, 2018

Exercise class 2/11 about Chapter 3 exercises

The lecture of Fri 2/11 will be an exercise class (moderated by Andrew Clarke) about the exercises of chapter three (p42) 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 31/10, 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).

Tuesday, October 16, 2018

Exercise class 19/10 about Chapter 2 exercises

The lecture of Fri 19/10 will be an exercise class (moderated by Andrew Clarke) about the exercises of chapter two (p22-23) 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 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).

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...