Suite de Rudin-Shapiro et modèle d'Ising

Jean-Paul Allouche; Michel Mendès France

Bulletin de la Société Mathématique de France (1985)

  • Volume: 113, page 273-283
  • ISSN: 0037-9484

How to cite

top

Allouche, Jean-Paul, and Mendès France, Michel. "Suite de Rudin-Shapiro et modèle d'Ising." Bulletin de la Société Mathématique de France 113 (1985): 273-283. <http://eudml.org/doc/87487>.

@article{Allouche1985,
author = {Allouche, Jean-Paul, Mendès France, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Rudin-Shapiro sequence; binary representation; Weyl sum; partition function; one-dimensional cyclic Ising model},
language = {fre},
pages = {273-283},
publisher = {Société mathématique de France},
title = {Suite de Rudin-Shapiro et modèle d'Ising},
url = {http://eudml.org/doc/87487},
volume = {113},
year = {1985},
}

TY - JOUR
AU - Allouche, Jean-Paul
AU - Mendès France, Michel
TI - Suite de Rudin-Shapiro et modèle d'Ising
JO - Bulletin de la Société Mathématique de France
PY - 1985
PB - Société mathématique de France
VL - 113
SP - 273
EP - 283
LA - fre
KW - Rudin-Shapiro sequence; binary representation; Weyl sum; partition function; one-dimensional cyclic Ising model
UR - http://eudml.org/doc/87487
ER -

References

top
  1. [1] BAXTER (R. J.). — Exactly solved models in statistical Mechanics, 1982, Academic Press. Zbl0538.60093MR86i:82002a
  2. [2] BRILHART (J.) and CARLITZ (L.). — Note on the Shapiro polynomials, Proc. Amer. Math. Soc., vol. 25, 1970, p. 114-118. Zbl0191.35101MR41 #5575
  3. [3] CHRISTOL (G.), KAMAE (T.), MENDES FRANCE (M.) et RAUZY (G.). — Suite algébriques, automates et substitutions, Bull. Soc. Math. Fr., vol. 108, 1980, p. 401-419. Zbl0472.10035MR82e:10092
  4. [4] HUANG (K.). — Statistical mechanics, 1963, John Wiley and sons. Zbl1041.82500MR27 #4605
  5. [5] KRAMERS (H. A.) and WANNIER (G. H.). — Statistics on the two-dimensional ferromagnet, I et II, Physic Rev., vol. 60, 1941, p. 252-262, 263. Zbl0027.28505MR3,63iJFM67.0964.01
  6. [6] MCCOY (B. M.) and WU (T. T.). — The two-dimensional Ising model, 1973, Harvard University Press, Cambridge Massachusetts. Zbl1094.82500
  7. [7] MAUDUIT (C.). — Automates finis et équirépartition modulo 1, C.R. Acad. Sc., t. 299, série I, n° 5, 1984. Zbl0565.10030MR85i:11066
  8. [8] RUDIN (W.). — Some theorems on Fourier coefficients, Proc. Amer. Math. Soc., vol. 10, 1959, p. 855-859. Zbl0091.05706MR22 #6979
  9. [9] SHAPIRO (H. S.). — Extremal problems for polynomials and power series, Thesis M.I.T., 1951. 
  10. [10] THOMPSON (C. J.). — Mathematical Statistical Mechanics, 1979, Princeton University Press. Zbl0417.60096MR80h:82001

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.