MICHAEL BOSHERNITZAN RECENT PUBLICATIONS

(since 1992)

  • Billiards and rational periodic directions in polygons, Amer.Math.Monthly 99(6), 1992, 522-529
  • A condition for unique ergodicity of minimal symbolic flow, Erg.Theory & Dynam.Sys.(1992) 12, 425-428
  • Dense orbits of rationals, Proc. AMS, vol.117, 4 (1993), 1201-1203
  • Quantitative recurrence results, Invent. Math. 113 (1993), 617-632
  • (with V.Bergelson and J.Bourgain) Some results on non-linear recurrence, J.d'Analyse Math., 62 (1994), 30-46
  • Uniform distribution and Hardy fields, J.d'Analyse Math.62(1994), 225-240
  • (with D.Berend) On a result of Mahler on the decimal expansion of (nx), Acta Arithm., 66(1994), 315-322.
  • Elementary proof of Furstenberg's diophantine result, Proc.AMS, 122(1994), 67-70
  • Density modulo 1 of dilations of sublacunary sequences, Advances in Mathematics, 108 (1994), 104-117
  • (with D.Berend) On sequences of reals with complicate decimal expansions, Acta Math.Hungar.66 (1994), 97-104
  • (with D.Berend) Densing sets, Advances in Mathematics 115(1995), 286-299
  • (with I.Kornfeld) Interval translation maps, Erg.Theory & Dynam.Sys., 15(1995), 821-831.
  • (with D.Berend and G.Kolesnik) Distribution modulo 1 of some oscillating sequences II, Israel J.of Math. 92(1995), 125-147.
  • (with R.Jones and M.Wierdl) Good and bad sequences in ergodic theory, Proceedings of Conference on Ergodic Theory & Probability, June 1993, Ohio State University, to appear
  • (with G.Galperin, T.Kruger, S.Troubetzkoy) Some remarks on periodic billiard orbits in rational polygons, preprint.
  • w-minimal sets and expansive maps, preprint
  • On recurrence and spread in dynamical systems, preprint
  • A dichotomy for projections of planar sets, preprint
  • (with M.Wierdl) Ergodic Theorems Along Sequences and Hardy field, preprint (solicited announcement).
  • (with C.R.Carroll) A generalization of Lagrange's theorem to interval exchange tranformations, preprint