RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2023, Volume 523, Pages 83–120 (Mi znsl7346)

Self-similarity and substitutions of the karyon tilings
V. G. Zhuravlev

References

1. V. G. Zhuravlev, Yadernye tsepnye drobi, VlGU, Vladimir, 2019
2. V. G. Zhuravlev, “Universalnye yadernye razbieniya”, Zap. nauchn. semin. POMI, 490, 2020, 49–93  mathnet
3. V. G. Zhuravlev, “Odnomernye razbieniya Fibonachchi”, Izv. RAN, ser. matem., 71:2 (2007), 89–122  mathnet  crossref  mathscinet  zmath
4. G. Rauzy, “Nombres algèbriques et substitutions”, Bull. Soc. Math. France, 110 (1982), 147–178  crossref  mathscinet  zmath
5. V. G. Zhuravlev, “Razbieniya Rozi i mnozhestva ogranichennogo ostatka na tore”, Zap. nauchn. semin. POMI, 322, 2005, 83–106  mathnet  zmath
6. V. G. Zhuravlev, “Differentsirovanie indutsirovannykh razbienii tora i mnogomernye priblizheniya algebraicheskikh chisel”, Zap. nauchn. semin. POMI, 445, 2016, 33–92  mathnet
7. V. G. Zhuravlev, “Differentsirovanie yadernykh razbienii”, Zap. nauchn. semin. POMI, 511, 2022, 28–53  mathnet
8. V. G. Zhuravlev, “Yadernye razbieniya i mnogomernye tsepnye drobi”, Vtoraya konferentsiya matematicheskikh tsentrov (07.11–11.11, Moskva, 2022), 90–92  zmath
9. V. G. Zhuravlev, “Inflyatsiya i deflyatsiya yadernykh razbienii”, Zap. nauch. semin. POMI, 523, 2023, 53–82  mathnet
10. V. G. Zhuravlev, “Lokalnyi algoritm postroeniya proizvodnykh razbienii dvumernogo tora”, Zap. nauchn. semin. POMI, 479, 2019, 85–120  mathnet
11. P. Arnoux, V. Berthé, S. Ito, “Discrete planes, $\mathbb{Z}^2$-actions, Jacobi-Perron algorithm and substitutions”, Ann. Inst. Fourier (Grenoble), 52:2 (2002), 305–349  crossref  mathscinet  zmath
12. V. Berthé, L. Vuillon, “Tilings and rotations on the torus: a two-dimensional generalization of Sturmian sequences”, Discrete Math., 223 (2000), 27–53  crossref  mathscinet  zmath
13. P. Arnoux, S. Ito, “Pisot Substitutions and Rauzy fractals”, Bulletin of the Belgian Mathematical Society, 8:2 (2001), 1–27  mathscinet
14. S. Ito, “Diophantine approximations, substitutions, and fractals”, Substitutions in Dynamics, Arithmetics and Combinatorics, Lecture Notes in Mathematics, 1794, ed. N.P. Fogg, Springer, Berlin–Heidelberg, 2002  mathscinet
15. V. G. Zhuravlev, “Simpleks-yadernyi algoritm razlozheniya v mnogomernye tsepnye drobi”, Sovremennye problemy matematiki, 299, MIAN, 2017, 283–303
16. V. G. Zhuravlev, “Perekladyvayuschiesya toricheskie razvertki i mnozhestva ogranichennogo ostatka”, Zap. nauchn. semin. POMI, 392, 2011, 95–145  mathnet
17. V. G. Zhuravlev, “Mnogogranniki ogranichennogo ostatka”, Matematika i informatika, K 75-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, v. 1, Sovr. probl. matem., 16, MIAN, M., 2012, 82–102  mathnet  crossref


© Steklov Math. Inst. of RAS, 2026