Downey, Five lectures on algorithmic randomness, published in "Computational Prospects of Infinity", Lecture Notes Series of the Institute for Mathematical Sciences, NUS, vol. 14, World Scientific (2008).
Descriptive set theory and its interaction with analysis and dynamical systems:
The audience is encouraged to familiarise themselves with basic notions of descriptive set theory, such as Borel and analytic sets; and with the basics of model theory, in particular with Fraisse limits. Among the possible sources are
Kechris, Classical Descriptive Set Theory (Springer, 1995)