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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2005, Volume 322, Pages 83–106 (Mi znsl395)

Rauzy tilings and bounded remainder sets on the torus
V. G. Zhuravlev

This publication is cited in the following articles:
  1. V. G. Zhuravlev, “Lokalnye pravila dlya kvaziperiodicheskikh razbienii”, Algebra i teoriya chisel. 7, Zap. nauchn. sem. POMI, 538, POMI, SPb., 2024, 102–128  mathnet
  2. V. G. Zhuravlev, “Inflyatsiya i deflyatsiya yadernykh razbienii”, Algebra i teoriya chisel. 6, Zap. nauchn. sem. POMI, 523, POMI, SPb., 2023, 53–82  mathnet
  3. V. G. Zhuravlev, “Samopodobiya i podstanovki yadernykh razbienii”, Algebra i teoriya chisel. 6, Zap. nauchn. sem. POMI, 523, POMI, SPb., 2023, 83–120  mathnet
  4. V. G. Zhuravlev, “Differentsirovanie yadernykh razbienii”, Algebra i teoriya chisel. 5, Zap. nauchn. sem. POMI, 511, POMI, SPb., 2022, 28–53  mathnet
  5. V. G. Zhuravlev, “Kombinatorika yadernykh razbienii”, Algebra i teoriya chisel. 5, Zap. nauchn. sem. POMI, 511, POMI, SPb., 2022, 54–99  mathnet
  6. V. G. Zhuravlev, “Simmetrii universalnykh yadernykh razbienii”, Algebra i teoriya chisel. 5, Zap. nauchn. sem. POMI, 511, POMI, SPb., 2022, 100–136  mathnet
  7. V. G. Zhuravlev, “Local Structure of Karyon Tilings”, J Math Sci, 264:2 (2022), 122  crossref
  8. V. G. Zhuravlev, “Symmetry Properties of Karyon Tilings”, J Math Sci, 264:2 (2022), 150  crossref
  9. V. G. Zhuravlev, “Lokalnaya struktura yadernykh razbienii”, Algebra i teoriya chisel. 4, Zap. nauchn. sem. POMI, 502, POMI, SPb., 2021, 32–73  mathnet
  10. V. G. Zhuravlev, “Simmetrii yadernykh razbienii”, Algebra i teoriya chisel. 4, Zap. nauchn. sem. POMI, 502, POMI, SPb., 2021, 74–121  mathnet
  11. A. V. Shutov, “Obobschennye razbieniya Rozi i lineinye rekurrentnye posledovatelnosti”, Chebyshevskii sb., 22:2 (2021), 313–333  mathnet  crossref
  12. V. G. Zhuravlev, “Universalnye yadernye razbieniya”, Algebra i teoriya chisel. 3, Zap. nauchn. sem. POMI, 490, POMI, SPb., 2020, 49–93  mathnet
  13. A. A. Zhukova, A. V. Shutov, “Additivnaya zadacha s $k$ chislami spetsialnogo vida”, Materialy IV Mezhdunarodnoi nauchnoi konferentsii “Aktualnye problemy prikladnoi matematiki”. Kabardino-Balkarskaya respublika, Nalchik, Prielbruse, 22–26 maya 2018 g. Chast II, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 166, VINITI RAN, M., 2019, 10–21  mathnet  crossref
  14. A. V. Shutov, “Fraktaly Rozi i ikh teoretiko-chislovye prilozheniya”, Materialy IV Mezhdunarodnoi nauchnoi konferentsii “Aktualnye problemy prikladnoi matematiki”. Kabardino-Balkarskaya respublika, Nalchik, Prielbruse, 22–26 maya 2018 g. Chast II, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 166, VINITI RAN, M., 2019, 110–119  mathnet  crossref
  15. V. G. Zhuravlev, “Lokalnyi algoritm postroeniya proizvodnykh razbienii dvumernogo tora”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 85–120  mathnet
  16. A. A. Zhukova, A. V. Shutov, “$n$-korony v razbieniyakh tora na mnozhestva ogranichennogo ostatka”, Chebyshevskii sb., 20:3 (2019), 246–260  mathnet  crossref
  17. A. V. Shutov, “Obobschennye razbieniya Rozi i mnozhestva ogranichennogo ostatka”, Chebyshevskii sb., 20:3 (2019), 372–389  mathnet  crossref
  18. Joanna Furno, Alan Haynes, Henna Koivusalo, “Bounded remainder sets for rotations on the adelic torus”, Proc. Amer. Math. Soc., 147:12 (2019), 5105  crossref
  19. V. G. Zhuravlev, “The karyon algorithm for decomposition into multidimensional continued fractions”, J. Math. Sci. (N. Y.), 242:4 (2019), 487–508  mathnet  crossref  mathscinet
  20. V. G. Zhuravlev, “The unimodularity of the induced toric tilings”, J. Math. Sci. (N. Y.), 242:4 (2019), 509–530  mathnet  crossref  mathscinet
  21. V. G. Zhuravlev, “Unimodular invariance of karyon decompositions of algebraic numbers in multidimensional continued fractions”, J. Math. Sci. (N. Y.), 242:4 (2019), 531–559  mathnet  crossref  mathscinet
  22. A. V. Shutov, “Podstanovki i mnozhestva ogranichennogo ostatka”, Chebyshevskii sb., 19:2 (2018), 501–522  mathnet  crossref  mathscinet  elib
  23. A. A. Osipova, “Vypuklye rombododekaedry i parametricheskie BR-mnozhestva”, Chebyshevskii sb., 17:1 (2016), 160–170  mathnet  elib
  24. V. G. Zhuravlev, “Symmetrization of bounded remainder sets”, St. Petersburg Math. J., 28:4 (2017), 491–506  mathnet  crossref  mathscinet  isi  elib
  25. V. G. Zhuravlev, “Differentiation of induced toric tilings and multi-dimensional approximations of algebraic numbers”, J. Math. Sci. (N. Y.), 222:5 (2017), 544–584  mathnet  crossref  mathscinet
  26. V. G. Zhuravlev, “Bounded remainder sets”, J. Math. Sci. (N. Y.), 222:5 (2017), 585–640  mathnet  crossref  mathscinet
  27. V. G. Zhuravlev, “Periodic karyon expansions of cubic irrationals in continued fractions”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 36–60  mathnet  crossref  crossref  isi  elib
  28. V. G. Zhuravlev, “Karyon expansions of Pisot numbers in multidimensional continued fractions”, J. Math. Sci. (N. Y.), 225:6 (2017), 950–968  mathnet  crossref  mathscinet
  29. V. G. Zhuravlev, “Induced bounded remainder sets”, St. Petersburg Math. J., 28:5 (2017), 671–688  mathnet  crossref  mathscinet  isi  elib
  30. A. A. Abrosimova, “$\mathrm{BR}$-mnozhestva”, Chebyshevskii sb., 16:2 (2015), 8–22  mathnet  elib
  31. V. G. Zhuravlev, “Multi-colour dynamical tilings of tori into bounded remainder sets”, Izv. Math., 79:5 (2015), 919–954  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  32. A. A. Zhukova, A. V. Shutov, “Binarnaya additivnaya zadacha s chislami spetsialnogo vida”, Chebyshevskii sb., 16:3 (2015), 246–275  mathnet  elib
  33. V. G. Zhuravlev, “Bounded remainder sets with respect to toric exchange transformations”, St. Petersburg Math. J., 27:2 (2016), 245–271  mathnet  crossref  mathscinet  isi  elib
  34. D. V. Kuznetsova, A. V. Shutov, “Exchanged Toric Tilings, Rauzy Substitution, and Bounded Remainder Sets”, Math. Notes, 98:6 (2015), 932–948  mathnet  crossref  crossref  mathscinet  isi  elib
  35. V. G. Zhuravlev, “Dividing toric tilings and bounded remainder sets”, J. Math. Sci. (N. Y.), 217:1 (2016), 65–80  mathnet  crossref  mathscinet
  36. V. G. Zhuravlev, “Imbedding of circular orbits and the distribution of fractional parts”, St. Petersburg Math. J., 26:6 (2015), 881–909  mathnet  crossref  mathscinet  isi  elib  elib
  37. V. G. Zhuravlev, “Bounded remainder sets on the double covering of the Klein bottle”, J. Math. Sci. (N. Y.), 207:6 (2015), 857–873  mathnet  crossref
  38. A. A. Abrosimova, D. A. Blinov, T. V. Polyakova, “Optimizatsiya granits otklonenii dlya mnozhestv ogranichennogo ostatka na dvumernom tore”, Chebyshevskii sb., 14:1 (2013), 9–17  mathnet
  39. V. G. Zhuravlev, “Multi-dimensional Hecke theorem on the distribution of fractional parts”, St. Petersburg Math. J., 24:1 (2013), 71–97  mathnet  crossref  mathscinet  zmath  isi  elib  elib
  40. V. G. Zhuravlev, “Moduli of toric tilings into bounded remainder sets and balanced words”, St. Petersburg Math. J., 24:4 (2013), 601–629  mathnet  crossref  mathscinet  zmath  isi  elib  elib
  41. V. G. Zhuravlev, “Bounded Remainder Polyhedra”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S71–S90  mathnet  crossref  crossref  zmath  isi  elib
  42. Abrosimova A.A., “Srednie znacheniya otklonenii dlya raspredeleniya tochek na tore”, Nauchnye vedomosti belgorodskogo gosudarstvennogo universiteta. seriya: matematika. fizika, 26:5 (2012), 5–11  elib
  43. V. G. Zhuravlev, “Teorema Gekke: forma i ideya”, Chebyshevskii sb., 12:1 (2011), 79–92  mathnet  mathscinet
  44. A. A. Abrosimova, “Mnozhestva ogranichennogo ostatka na dvumernom tore”, Chebyshevskii sb., 12:4 (2011), 15–23  mathnet  mathscinet
  45. A. V. Shutov, “Ob odnom semeistve dvumernykh mnozhestv ogranichennogo ostatka”, Chebyshevskii sb., 12:4 (2011), 264–271  mathnet  mathscinet
  46. Shutov A.V., Maleev A.V., Zhuravlev V.G., “Complex quasiperiodic self-similar tilings: their parameterization, boundaries, complexity, growth and symmetry”, Acta Crystallogr. Sect. A, 66:3 (2010), 427–437  crossref  mathscinet  adsnasa  isi  elib  scopus
  47. V. G. Zhuravlev, “Parametrization of a two-dimensional quasiperiodic Rauzy tiling”, St. Petersburg Math. J., 22:4 (2011), 529–555  mathnet  crossref  mathscinet  zmath  isi
  48. V. V. Krasil'shchikov, A. V. Shutov, V. G. Zhuravlev, “One-dimensional quasiperiodic tilings admitting progressions enclosure”, Russian Math. (Iz. VUZ), 53:7 (2009), 1–6  mathnet  crossref  mathscinet  zmath  elib
  49. Zhuravlev V.G., Maleev A.V., “Construction of 2D quasi-periodic Rauzy tiling by similarity transformation”, Crystallography Reports, 54:3, 359–369  crossref  adsnasa  isi  elib  scopus
  50. Zhuravlev V.G., Maleev A.V., “Similarity symmetry of a 2D quasi-periodic Rauzy tiling”, Crystallography Reports, 54:3, 370–378  crossref  adsnasa  isi  elib  scopus
  51. V. G. Zhuravlev, “Even Fibonacci numbers: the binary additive problem, the distribution over progressions, and the spectrum”, St. Petersburg Math. J., 20:3 (2009), 339–360  mathnet  crossref  mathscinet  zmath  isi  elib
  52. Zhuravlev V.G., Maleev A.V., “Quasi–periods of layer–by–layer growth of Rauzy tiling”, Crystallography Reports, 53:1 (2008), 1–8  crossref  adsnasa  isi  elib  scopus
  53. Zhuravlev V.G., Maleev A.V., “Diffraction on the 2D Quasi-Periodic Rauzy Tiling”, Crystallography Reports, 53:6 (2008), 921–929  crossref  adsnasa  isi  elib  scopus
  54. V. G. Zhuravlev, “One-dimensional Fibonacci tilings”, Izv. Math., 71:2 (2007), 307–340  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
  55. Zhuravlev V.G., Maleev A.V., “Complexity function and forcing in the 2D quasi-periodic rauzy tiling”, Crystallography Reports, 52:4 (2007), 582–588  crossref  mathscinet  adsnasa  isi  elib  scopus
  56. Zhuravlev V.G., Maleev A.V., “Layer-by-layer growth of quasi-periodic Rauzy tiling”, Crystallography Reports, 52:2 (2007), 180–186  crossref  adsnasa  isi  elib  scopus
  57. Shutov A.V., “New estimates in the Hecke-Kesten problem”, Analytic and Probabilistic Methods in Number Theory, 2007, 190–203  mathscinet  zmath  isi
  58. Zhuravlev V.G., “On additivity property of the complexity function related to rauzy tiling”, Analytic and Probabilistic Methods in Number Theory, 2007, 240–254  mathscinet  zmath  isi


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