Assessment

For those who want to take this course for credit, my suggestion is to prepare a 5+ page document discussing in detail (aspects of ):
- synchronisation of random circle homeomorphisms
- Oseledets theorem
- synchronisation of random diffeomorphisms of the interval (in the Gharaei & Homburg setting)

Please send me this before 8 January. Then I will arrange a brief discussion of your document on skype or in person.

I am also open to alternative suggestions for assessment, let me know if you would like to propose such.

Random interval diffeomorphisms

The final topic of this course concerns random interval diffeomorphisms. We follow M. Gharaei, A.J. Homburg. Random interval diffeomorphisms. Discrete Contin. Dyn. Syst. Ser. S(10), 241-272.

Lyapunov exponents

We discuss this topic in detail in the one- an two-dimensional setting.  For the two-dimensional setting, we follow lecture notes of Marcelo Viana (attached in the right hand side margin).

Synchronisation in random circle maps

Julian Newman speaks in more detail about synchronisation in random circle maps on 1 and 8 November. Accompanying lecture notes can be found in the right hand side margin.