메뉴 건너뛰기




Volumn 26, Issue 8-10, 1997, Pages 13-26

The entropy of square-free words

Author keywords

Combinatorics on words; Entropy; Random tilings; Substitution rules

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; RANDOM PROCESSES;

EID: 0031259289     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00196-9     Document Type: Conference Paper
Times cited : (13)

References (25)
  • 1
    • 0012468920 scopus 로고
    • Entropy in deterministic and random systems
    • Edited by F. Axel and D. Gratias, Springer, Berlin
    • V. Berthé, Entropy in deterministic and random systems, In Beyond Quasicrystals, (Edited by F. Axel and D. Gratias), pp. 441-463, Springer, Berlin, (1995).
    • (1995) Beyond Quasicrystals , pp. 441-463
    • Berthé, V.1
  • 2
    • 0004208396 scopus 로고
    • Clarendon Press, Oxford
    • nd edition, Clarendon Press, Oxford, (1994).
    • (1994) nd Edition
    • Janot, C.1
  • 3
    • 0000227845 scopus 로고
    • Electron microscopy of quasicrystals and the validity of the tiling approach
    • H.-U. Nissen and C. Beeli, Electron microscopy of quasicrystals and the validity of the tiling approach, Int. J. Mod. Phys. B7, 1387-1413 (1993).
    • (1993) Int. J. Mod. Phys. , vol.B7 , pp. 1387-1413
    • Nissen, H.-U.1    Beeli, C.2
  • 4
    • 0002754401 scopus 로고
    • Random tiling models
    • Edited by D.P. DiVincenzo and P.J. Steinhardt, World Scientific, Singapore
    • C.L. Henley, Random tiling models, In Quasicrystals - The State of the Art, (Edited by D.P. DiVincenzo and P.J. Steinhardt), pp. 429-524, World Scientific, Singapore, (1991).
    • (1991) Quasicrystals - The State of the Art , pp. 429-524
    • Henley, C.L.1
  • 5
    • 0003831421 scopus 로고
    • Cambridge University Press, Cambridge
    • K. Petersen, Ergodic Theory, Cambridge University Press, Cambridge, (1983).
    • (1983) Ergodic Theory
    • Petersen, K.1
  • 7
    • 21344488272 scopus 로고
    • The square-triangle random-tiling model in the thermodynamic limit
    • P.A. Kalugin, The square-triangle random-tiling model in the thermodynamic limit, J. Phys. A27, 3599-3614 (1994).
    • (1994) J. Phys. , vol.A27 , pp. 3599-3614
    • Kalugin, P.A.1
  • 8
    • 0002684397 scopus 로고
    • Automata and automatic sequences
    • Edited by F. Axel and D. Gratias, Springer, Berlin
    • J.-P. Allouche and M. Mendès France, Automata and automatic sequences, In Beyond Quasicrystals, (Edited by F. Axel and D. Gratias), pp. 293-367, Springer, Berlin, (1995).
    • (1995) Beyond Quasicrystals , pp. 293-367
    • Allouche, J.-P.1    Mendès France, M.2
  • 9
    • 0002647236 scopus 로고
    • Über unendliche zeichenreihen
    • A. Thue, Über unendliche Zeichenreihen, Norske Vid. Selsk. Skr. I, Mat. Nat. Kl. Christiana 7, 1-22 (1906); Reprinted in Selected Mathematical Papers of Axel Thue, (Edited by T. Nagell, A. Selberg, S. Selberg and K. Thalberg), pp. 139-158, Universitetsforlaget, Oslo, (1977).
    • (1906) Norske Vid. Selsk. Skr. I, Mat. Nat. Kl. Christiana , vol.7 , pp. 1-22
    • Thue, A.1
  • 11
    • 0002647237 scopus 로고
    • Über die gegenseitige lage gleicher teile gewisser zeichenreihen
    • A. Thue, Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen, Norske Vid. Selsk. Skr. I, Mat. Nat. Kl. Christiana l, 1-67 (1912); Reprinted in Selected Mathematical Papers of Axel Thue, (Edited by T. Nagell, A. Selberg, S. Selberg and K. Thalberg), pp. 413-477, Universitetsforlaget, Oslo, (1977).
    • (1912) Norske Vid. Selsk. Skr. I, Mat. Nat. Kl. Christiana , vol.50 , pp. 1-67
    • Thue, A.1
  • 12
    • 0003535421 scopus 로고
    • Universitetsforlaget, Oslo
    • A. Thue, Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen, Norske Vid. Selsk. Skr. I, Mat. Nat. Kl. Christiana l, 1-67 (1912); Reprinted in Selected Mathematical Papers of Axel Thue, (Edited by T. Nagell, A. Selberg, S. Selberg and K. Thalberg), pp. 413-477, Universitetsforlaget, Oslo, (1977).
    • (1977) Selected Mathematical Papers of Axel Thue , pp. 413-477
    • Nagell, T.1    Selberg, A.2    Selberg, S.3    Thalberg, K.4
  • 15
    • 0000813621 scopus 로고
    • Sharp characterizations of squarefree morphisms
    • M. Crochemore, Sharp characterizations of squarefree morphisms, Theor. Comp. Sci. 18, 221-226 (1982).
    • (1982) Theor. Comp. Sci. , vol.18 , pp. 221-226
    • Crochemore, M.1
  • 16
    • 0343852298 scopus 로고
    • Square-free words and idempotent semigroups
    • Combinatorics on Words, Edited by M. Lothaire, Addison-Wesley, Reading, MA
    • J. Berstel and C. Reutenauer, Square-free words and idempotent semigroups, In Combinatorics on Words, (Edited by M. Lothaire), Encyclopedia of Mathematics and Its Applications, Vol. 17, pp. 18-38, Addison-Wesley, Reading, MA, (1983).
    • (1983) Encyclopedia of Mathematics and its Applications , vol.17 , pp. 18-38
    • Berstel, J.1    Reutenauer, C.2
  • 17
    • 0343852299 scopus 로고
    • Tests sur les morphismes faiblement sans carré
    • Edited by L.J. Cummings, Academic Press, Toronto
    • M. Crochemore, Tests sur les morphismes faiblement sans carré, In Combinatorics on Words, (Edited by L.J. Cummings), pp. 63-89, Academic Press, Toronto, (1983).
    • (1983) Combinatorics on Words , pp. 63-89
    • Crochemore, M.1
  • 18
    • 0009961377 scopus 로고
    • On the structure and extendability of square-free words
    • Edited by L.J. Cummings, Academic Press, Toronto
    • R.O. Shelton, On the structure and extendability of square-free words, In Combinatorics on Words, (Edited by L.J. Cummings), pp. 101-118, Academic Press, Toronto, (1983).
    • (1983) Combinatorics on Words , pp. 101-118
    • Shelton, R.O.1
  • 19
    • 0343416339 scopus 로고
    • Preprint LBL-16632, Lawrence Berkeley Laboratory
    • V. Elser, Repeat-free sequences, Preprint LBL-16632, Lawrence Berkeley Laboratory, (1983).
    • (1983) Repeat-Free Sequences
    • Elser, V.1
  • 21
    • 0007132916 scopus 로고
    • Non-repetitive sequences on three symbols
    • J. Brinkhuis, Non-repetitive sequences on three symbols, Quart. J. Math. Oxford 34, 145-149 (1983).
    • (1983) Quart. J. Math. Oxford , vol.34 , pp. 145-149
    • Brinkhuis, J.1
  • 23
  • 24
    • 0022913820 scopus 로고
    • Repetition-free words
    • Y. Kobayashi, Repetition-free words, Theor. Comp. Sci. 44, 175-197 (1986).
    • (1986) Theor. Comp. Sci. , vol.44 , pp. 175-197
    • Kobayashi, Y.1
  • 25
    • 0342546602 scopus 로고    scopus 로고
    • Entropies of sequences with the same language (in preparation), and private communication
    • P.A.B. Pleasants, Entropies of sequences with the same language (in preparation), and private communication.
    • Pleasants, P.A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.