1. U. Krengel, “On the speed of convergence in the ergodic theorem,” Monatsh. Math. 86 (1), 3–6 (1978).
2. I. V. Podvigin, “On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem,” Sibirsk. Mat. Zh. 63 (2), 379–390 (2022).
3. S. Alpern, “Return times and conjugates of an antiperiodic transformation,” Ergodic Theory Dynam. Systems 1 (2), 135–143 (1981).
4. A. A. Prikhod’ko and V. V. Ryzhikov, “The Rokhlin–Halmos–Alpern maximal lemma,” Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., No. 3, 37–41 (1996).