NZMRI 2009


The following are readings, suggested by some of the speakers.

Computability of Julia sets:

Survey papers on algortihmic randomness:

Probabilistic computation:

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)
  • Hodges, Model Theory (Cambridge UP, 1993)

For further reading, look at:
  • Kechris, Set theory and uniqueness for trigonometric series, preprint, 1997.
  • Hjorth and Kechris, New dichotomies for Borel equivalence relations, Bull. Symb. Logic 3(3) (1997), 329-346.
  • Hjorth and Kechris, Rigidity theorems for actions of product groups and countable Borel equivalence relations, Memoirs of the Amer. Math. Soc., 177, No. 833, 2005.
  • Kechris, Set theory and dynamical systems, to appear in the Proceedings of the 13th International Congress of Logic, Methodology and Philosophy of Science, Beijing 2007.
  • Kechris, Pestov and Todorcevic, Fra\xEFss\xE9 limits, Ramsey theory and topological dynamics of automorphism groups, Geometric and Functional Analysis 15 (1) (2005), 106-189.
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