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Russian Mathematical Surveys, 2002, Volume 57, Issue 3, Pages 592–594
DOI: https://doi.org/10.1070/RM2002v057n03ABEH000519
(Mi rm519)
 

This article is cited in 42 scientific papers (total in 42 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

On a Yang–Baxter map and the Dehornoy ordering

I. A. Dynnikov

M. V. Lomonosov Moscow State University
References:
Accepted: 25.03.2002
Bibliographic databases:
Document Type: Article
MSC: 20F36, 20F10, 57M07
Language: English
Original paper language: Russian
Citation: I. A. Dynnikov, “On a Yang–Baxter map and the Dehornoy ordering”, Russian Math. Surveys, 57:3 (2002), 592–594
Citation in format AMSBIB
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\by I.~A.~Dynnikov
\paper On a Yang--Baxter map and the Dehornoy ordering
\jour Russian Math. Surveys
\yr 2002
\vol 57
\issue 3
\pages 592--594
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Linking options:
  • https://www.mathnet.ru/eng/rm519
  • https://doi.org/10.1070/RM2002v057n03ABEH000519
  • https://www.mathnet.ru/eng/rm/v57/i3/p151
  • This publication is cited in the following 42 articles:
    1. V. G. Bardakov, B. B. Chuzinov, I. A. Emelyanenkov, M. E. Ivanov, T. A. Kozlovskaya, V. È. Leshkov, “Set theoretical solutions of equations of n – simplexes”, Siberian Adv. Math., 34:1 (2024), 1–40  mathnet  crossref  crossref
    2. Abdullah BAYKAL, Ferihe ATALAN, Saadet Öykü YURTTAŞ, “RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND”, Middle East Journal of Science, 9:1 (2023), 16  crossref
    3. Alev Dülger, “Multiple curves on punctured orientable surfaces”, Filomat, 36:20 (2022), 6929  crossref
    4. Alev Dülger, “Geometric intersection numbers between multiple and elementary curves on punctured torus”, Filomat, 36:20 (2022), 7043  crossref
    5. Jean-Luc Thiffeault, Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 9, Braids and Dynamics, 2022, 79  crossref
    6. Jean-Luc Thiffeault, Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 9, Braids and Dynamics, 2022, 95  crossref
    7. Manturov V.O., Fedoseev D.A., Kim S., Nikonov I.M., “On Groups G(N)(K) and Gamma(K)(N) a Study of Manifolds, Dynamics, and Invariants”, Bull. Math. Sci., 11:02 (2021), 2150004  crossref  mathscinet  isi
    8. Meral A., “Dynnikov Coordinates on Punctured Torus”, Turk. J. Math., 45:2 (2021), 661–677  crossref  mathscinet  isi  scopus
    9. Alev MERAL, “Ölçülen Yapraklanmalar{\i}n Genelleştirilmiş Dynnikov Koordinat Sistemi”, European Journal of Science and Technology, 2021  crossref
    10. Saadet Oyku YURTTAS, Arife ATAY, “Pseudo-Anosov Örgülerin Topolojik Entropisi ve Çekici Matrisler”, Iğd{\i}r Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 11:3 (2021), 2278  crossref
    11. Saadet Oyku YURTTAS, “Intersections of Multicurves on Small Genus Non–Orientable Surfaces”, Journal of Mathematical Sciences and Modelling, 4:3 (2021), 110  crossref
    12. V. G. Gorbunov, C. Korff, C. Stroppel, “Yang–Baxter algebras, convolution algebras, and Grassmannians”, Russian Math. Surveys, 75:5 (2020), 791–842  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    13. Filippi M., Budisic M., Allshouse M.R., Atis S., Thiffeault J.-L., Peacock T., “Using Braids to Quantify Interface Growth and Coherence in a Rotor-Oscillator Flow”, Phys. Rev. Fluids, 5:5 (2020), 054504  crossref  isi
    14. Buchstaber V.M. Igonin S. Konstantinou-Rizos S. Preobrazhenskaia M.M., “Yang-Baxter Maps, Darboux Transformations, and Linear Approximations of Refactorisation Problems”, J. Phys. A-Math. Theor., 53:50 (2020), 504002  crossref  mathscinet  isi
    15. Alev MERAL, Meryem DEMİRTAŞ, “Sonlu NoktasıÇ{\i}kar{\i}lmış Disk Üzerindeki Örgüler”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 9:3 (2020), 1460  crossref
    16. Kim S., Manturov V.O., “Artin'S Braids, Braids For Three Space, and Groups Gamma(4 )(N)and G(N)(K)”, J. Knot Theory Ramifications, 28:10 (2019), 1950063  crossref  mathscinet  isi
    17. Saadet oyku Yurttas, Umut Gungorur, “Dynnikov koordinatlarıve π_1–train track grafikleri”, Academic Platform Journal of Engineering and Science, 7:2 (2019), 316  crossref
    18. Oyku Yurttas S., Pamuk M., “Integral Laminations on Nonorientable Surfaces”, Turk. J. Math., 42:1 (2018), 69–82  crossref  mathscinet  isi  scopus  scopus
    19. Yurttas S.O., Hall T., “Intersections of Multicurves From Dynnikov Coordinates”, Bull. Aust. Math. Soc., 98:1 (2018), 149–158  crossref  mathscinet  zmath  isi  scopus  scopus
    20. Akpulat M., Ekinci M., “Observing the Entropy of Crowd Movements”, 2017 25Th Signal Processing and Communications Applications Conference (Siu), Signal Processing and Communications Applications Conference, IEEE, 2017  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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