Department of

September 2019 October 2019 November 2019 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 1 2 3 4 5 1 2 8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9 15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16 22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23 29 30 27 28 29 30 31 24 25 26 27 28 29 30

Wednesday, October 30, 2019

**Abstract:** We will prove Farrell–Varadarajan's uniform ergodic decomposition theorem for countable Borel equivalence relations. The proof we give is based on using the Becker–Kechris comparability lemma to construct uniform conditional probability functions for Borel sets.