La chaine d'Ising imaginaire ou la suite de Rudin Shapiro

Michel Mendès France

Groupe d'étude en théorie analytique des nombres (1984-1985)

  • Volume: 1, page 1-7

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Mendès France, Michel. "La chaine d'Ising imaginaire ou la suite de Rudin Shapiro." Groupe d'étude en théorie analytique des nombres 1 (1984-1985): 1-7. <http://eudml.org/doc/114200>.

@article{MendèsFrance1984-1985,
author = {Mendès France, Michel},
journal = {Groupe d'étude en théorie analytique des nombres},
keywords = {Rudin-Shapiro sequence; extremal; property; Thue-Morse sequence; Weyl sum; binary representation; one-dimensional cyclic Ising model},
language = {fre},
pages = {1-7},
publisher = {Secrétariat mathématique},
title = {La chaine d'Ising imaginaire ou la suite de Rudin Shapiro},
url = {http://eudml.org/doc/114200},
volume = {1},
year = {1984-1985},
}

TY - JOUR
AU - Mendès France, Michel
TI - La chaine d'Ising imaginaire ou la suite de Rudin Shapiro
JO - Groupe d'étude en théorie analytique des nombres
PY - 1984-1985
PB - Secrétariat mathématique
VL - 1
SP - 1
EP - 7
LA - fre
KW - Rudin-Shapiro sequence; extremal; property; Thue-Morse sequence; Weyl sum; binary representation; one-dimensional cyclic Ising model
UR - http://eudml.org/doc/114200
ER -

References

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  1. [1] Allouche ( J.P.) et Mendès France ( M.). - Suite de Rudin-Shapiro et modèle d'Ising, Bull. Soc. Math. France (à paraître). Zbl0592.10049
  2. [2] Allouche ( J.P.) and Mendès France ( M.). - On an extremal property of the Rudin-Shapiro sequence, Mathematika, London, 1985 (à paraître). Zbl0561.10025MR817104
  3. [3] Brillhart ( J.) and Carlitz ( L.). - Note on the Shapiro polynomials, Proc. Amer. math. Soc., t. 25, 1970, p. 114-118. Zbl0191.35101MR260955
  4. [4] Gelfond ( A.O.). - Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arithm., Warszawa, t. 13, 1968, p. 259-265. Zbl0155.09003MR220693
  5. [5] Kramers ( H.A.) and Wannier ( G.H.). - Statistics of the two-dimensional Ferromagnet. Part I and II, Phys. Rev., 2nd series, t. 60, 1941, p. 252-262 ; p. 263-276. Zbl0027.28505JFM67.0964.01
  6. [6] Mendès France ( M.) et Tenenbaum ( G.). - Dimension des courbes planes, papiers pliés et suites de Rudin-Shapiro, Bull. Soc. math. France, t. 109, 1981, p. 207-215. Zbl0468.10033MR623789
  7. [7] Rudin ( W.). - Some theorems on Fourier coefficients, Proc. Amer. math. Soc., t, 10, 1959, p. 855-859. Zbl0091.05706MR116184
  8. [8] Shapiro ( H.S.).- Extremal problems for polynomials and power series (Thesis, Massachussetts Institute of Technology, 1951). 
  9. [9] Thompson ( C.J.). - Mathematical statistical mechanics. - Princeton, Princeton University Press, 1979. Zbl0417.60096MR548873

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