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Timeline for Decomposition of a dynamical system into ergodic componenents

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Jul 5, 2011 at 19:58 comment added Mark Another nice reference is the recent book by Einsiedler & Ward, which proves the ergodic decomposition in the case of $\sigma$-compact metrizable groups acting continuously on $\sigma$-compact metric spaces endowed with a Borel probability measure which is invariant under the group action.
Jul 5, 2011 at 17:23 vote accept Łukasz Grabowski
Nov 6, 2010 at 18:52 vote accept Łukasz Grabowski
Jul 5, 2011 at 17:23
Nov 6, 2010 at 18:52 vote accept Łukasz Grabowski
Nov 6, 2010 at 18:52
Nov 6, 2010 at 18:08 comment added coudy I edited my answer, following RW remarks. Hope this helps.
Nov 6, 2010 at 18:07 history edited coudy CC BY-SA 2.5
RW comments taken into account, both for clarity and completeness.
Nov 5, 2010 at 12:45 comment added Łukasz Grabowski Let me add a precise reference for future generations :-). Theorem 3.22 in Glasner's book. Once again thanks!
Nov 5, 2010 at 12:42 vote accept Łukasz Grabowski
Nov 6, 2010 at 18:52
Nov 4, 2010 at 14:42 comment added coudy There are a lot of books that state the ergodic decomposition theorem for countable group actions, but few actually prove it. A recent reference is Glasner, "Ergodic theory via joinings". The original articles of Rohlin ("On the fundamental ideas of measure theory", 1952 english translation) and Varadarajan (1963, jstor.org/stable/1993903) are well written.
Nov 4, 2010 at 12:56 comment added Łukasz Grabowski Big thanks! Do you know if similar results hold for actions of arbitrary groups? Also, can you give a erference for the measurable partiotion $C_i$ and the fact that measure on the whole space is an integral?
Nov 4, 2010 at 11:09 history answered coudy CC BY-SA 2.5