An application of number theory to ergodic theory and the construction of uniquely ergodic models

Using a combinatorial result of N. Hindman one can extend Jewett’s method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett’s argument. To the memory of Shlomo Horowitz The research of this author was supported by the National Science Foundation (USA).