Ergodic averaging sequences

By M. Boshernitzan, G. Kolesnik, Anthony Quas, M. Wierdl. 2005

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Some open problems on multiple ergodic averages (2011, background): “, 43, 44, 52, 53, 54, 55, 58, 61, 62, 70, 74, 77, 79, 82, 83, 85, 87, 101, 108, 116, 124, 137, 142, 150, 156, 158, 168, 185]. Other sequences (smooth, random, prime numbers, generalized polynomials): [30, 31, 38, 42, 47, 50, 51, 72, 79, 80, 81, 88, 90, 104, 105, 125, 136, 148, 160, 161, 183, 189, 19”
Discrete maximal functions in higher dimensions and applications to ergodic theory (2014, background): “[1, 9, 12, 16, 24, 25, 40]) and investigations of discrete analogues of classical operators with arithmetic features (see e.”
Multiple recurrence and convergence for hardy sequences of polynomial growth (2009, background): “The necessity of the conditions was proved in [12] by using examples of rational rotations on the circle.”