Marches pseudo-aléatoires issues de substitutions : aspects statistiques
B. Jeannet; T. Huillet; K. Choukri
Annales de l'I.H.P. Physique théorique (1997)
- Volume: 67, Issue: 1, page 77-89
- ISSN: 0246-0211
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topJeannet, B., Huillet, T., and Choukri, K.. "Marches pseudo-aléatoires issues de substitutions : aspects statistiques." Annales de l'I.H.P. Physique théorique 67.1 (1997): 77-89. <http://eudml.org/doc/76763>.
@article{Jeannet1997,
author = {Jeannet, B., Huillet, T., Choukri, K.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {abstract substitutions; representation; random fractal curves; thermodynamic formalism},
language = {fre},
number = {1},
pages = {77-89},
publisher = {Gauthier-Villars},
title = {Marches pseudo-aléatoires issues de substitutions : aspects statistiques},
url = {http://eudml.org/doc/76763},
volume = {67},
year = {1997},
}
TY - JOUR
AU - Jeannet, B.
AU - Huillet, T.
AU - Choukri, K.
TI - Marches pseudo-aléatoires issues de substitutions : aspects statistiques
JO - Annales de l'I.H.P. Physique théorique
PY - 1997
PB - Gauthier-Villars
VL - 67
IS - 1
SP - 77
EP - 89
LA - fre
KW - abstract substitutions; representation; random fractal curves; thermodynamic formalism
UR - http://eudml.org/doc/76763
ER -
References
top- [1] J.-P. Allouche et M. Mendès France, Automata and automatic sequences. Beyond quasicrystals, Éd. F. AXEL, D. GRATIAS, Springer, Les Éditions de Physique, 1995, p. 293-367. Zbl0881.11026MR1420422
- [2] F. Barnsley, J.H. Elton et D. Hardin, Recurrent iterated functions systems., Constr. Approx., vol. 5, 1989, p. 3-39. Zbl0659.60045MR982722
- [3] F. Dekking, Substitutions, branching processes and fractal sets. Fractal Geometry and Analysis, Ed. J. Bélair and S. Dubuc. Kluwer Academic Pub., 1991, p. 99-119. Zbl0739.58039MR1140721
- [4] F. Dekking, Recurrent sets, Adv. in Math., vol. 44, 1982, p. 78-104. Zbl0495.51017MR654549
- [5] F. Dekking, M. Mendès France, et A. Van Der Poorten, Folds! (I,II,III), The Mathematical Intelligencer-Springer-Verlag, vol. 4, 1982, number 3 et 4. MR684028
- [6] F. Dekking, Marches automatiques, Journal de théorie des nombres de Bordeaux, vol. 5, 1993, p. 93-100. Zbl0795.11011MR1251229
- [7] R.S. Ellis, Entropy, large deviations and statistical mechanics, New York, Springer, 1985. Zbl0566.60097MR793553
- [8] T. Huillet et B. Jeannet, On statistical aspects of deterministic tree-like fractals, J. of Physics A. Math. Gen., vol. 27, 1994, p. 1191-1198. Zbl0803.60098MR1269043
- [9] T. Huillet et B. Jeannet, On a class of skewed self-similar and hyperbolic fractals, J. of Mathematical Physics, vol. 35, (12), 1994, p. 6510-6524. Zbl0820.60072MR1303059
- [10] M. Lothaire, Combinatorics on words, Encyclopedia of Mathematics and its applications, Addison-Wesley Publishing Company, 1983. Zbl0514.20045MR675953
- [11] R.D. Mauldin et S.C. Williams, Hausdorff dimensions in graph directed constructions, Trans. Amer. Math. Soc., vol. 309, 1988, p. 811-829. Zbl0706.28007MR961615
- [12] G. Michon et J. Peyrière, Thermodynamique des ensembles de Cantor autosimilaires, Chinese Annals of Math., vol. 15B, 1994, p. 253-272. Zbl0848.54023MR1303208
- [13] J. Peyrière, Substitutions aléatoires itérées, Séminaire de théorie des nombres de Bordeaux, vol. 80-81, 1981, p. 1701-1709. Zbl0474.60070
- [14] M. Queffélec, Substitution dynamical systems-spectral analysis, Lecture Notes in Mathematics, vol. 1294, 1987. Zbl0642.28013MR924156
- [15] D. Ruelle, Thermodynamic formalism, Encyclopedia of Mathematics and its applications, Addison-Wesley Publishing Company, Massachusetts, 1978. Zbl0401.28016MR511655
- [16] Z.-X. Wen et Z.-Y. Wen, Mots infinis et produits de matrices à coefficients polynômiaux, RAIRO Info. Théor. et Applic., vol. 26, 1992, p. 319-343. Zbl0758.11016MR1173173
- [17] Z.-X. Wen, Marches sur les arbres homogènes suivant une suite substitutive, Thèse, Université Paris-Sud, Juin, 1991.
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