Sets of Bounded Remainder for The Billiard on A Square

[1] BECK, J.: From Khinchin’s conjecture on strong uniformity to superuniform motions, Mathematika 61 (2015), 591–707.10.1112/S0025579314000242Search in Google Scholar

[2] _____ Strong uniformity, in: Radon Ser. Comput. Appl. Math. 15, Uniform Distribution and Quasi-Monte Carlo Methods, Vol. 15 De Gruyter, Berlin, 2014 pp. 17–44.10.1515/9783110317930.17Search in Google Scholar

[3] DRMOTA, M.: Irregularities of continuous distributions, Ann. Inst. Fourier 39 (1989), 501–527.10.5802/aif.1175Search in Google Scholar

[4] DRMOTA, M.—TICHY, R.: Sequences, Discrepancies and Applications. In: Springer Lecture Notes in Mathematics Vol 1651, Springer-Verlag, Berllin 1997.10.1007/BFb0093404Search in Google Scholar

[5] GREPSTAD, S.—LARCHER, G.: Sets of bounded remainder for the continuous irrational rotation on [0,1]², Acta Arith. 176 (2016), 365–395.10.4064/aa8453-8-2016Search in Google Scholar

[6] KESTEN, H.: On a conjecture of Erdos and Szüsz related to uniform distribution mod 1, Acta Arith. 12 (1966), 193–212.10.4064/aa-12-2-193-212Search in Google Scholar

[7] KUIPERS, L.—NIEDERREITER, H.: : Uniform Distribution of Sequences, Wiley, New York, 1974.Search in Google Scholar