A generalization of Cobham's theorem

被引：34
|
作者：
Durand, F [1 ]
机构：
[1] Inst Math Luminy, UPR 9016 CNRS, F-13288 Marseille 9, France
来源：
THEORY OF COMPUTING SYSTEMS | 1998年 / 31卷 / 02期
关键词：
D O I：
10.1007/s002240000084
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
If a nonperiodic sequence X is the image by a morphism of a fixed point of both a primitive substitution sigma and a primitive substitution tau, then the dominant eigenvalues of the matrices of sigma and tau are multiplicatively dependent. This is the way we propose to generalize Cobham's theorem.
引用
收藏
页码：169 / 185
页数：17
相关论文
共 50 条
  • [41] On a generalization of Polya's theorem
    Rochev, I. P.
    MATHEMATICAL NOTES, 2007, 81 (1-2) : 247 - 259
  • [42] A generalization of Obata’s theorem
    Akhil Ranjan
    G. Santhanam
    The Journal of Geometric Analysis, 1997, 7 (3): : 357 - 375
  • [43] On a Generalization of Voronin's Theorem
    Laurincikas, A.
    MATHEMATICAL NOTES, 2020, 107 (3-4) : 442 - 451
  • [44] A Generalization of Schatunowsky's Theorem
    Kaneko, Yuto
    Nakai, Hirofumi
    AMERICAN MATHEMATICAL MONTHLY, 2025,
  • [45] Cauchy's theorem and generalization
    Reuss, Paul
    EPJ NUCLEAR SCIENCES & TECHNOLOGIES, 2018, 4
  • [46] GENERALIZATION OF A THEOREM OF KULLBACK,S
    RECOULES, R
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 284 (12): : 691 - 694
  • [47] A generalization of the Opial's theorem
    Cegielski, Andrzej
    CONTROL AND CYBERNETICS, 2007, 36 (03): : 601 - 610
  • [48] On a generalization of Lyapounov's theorem
    vanMill, J
    Ran, A
    INDAGATIONES MATHEMATICAE-NEW SERIES, 1996, 7 (02): : 227 - 242
  • [49] A generalization of Niho's theorem
    Rosendahl, P
    DESIGNS CODES AND CRYPTOGRAPHY, 2006, 38 (03) : 331 - 336
  • [50] A generalization of Aronszajn's theorem
    Filippov, VV
    DIFFERENTIAL EQUATIONS, 1997, 33 (01) : 75 - 79
12345