Mesures de Gibbs sur les Cantor réguliers

G. Michon

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 3, page 267-285
  • ISSN: 0246-0211

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Michon, G.. "Mesures de Gibbs sur les Cantor réguliers." Annales de l'I.H.P. Physique théorique 58.3 (1993): 267-285. <http://eudml.org/doc/76606>.

@article{Michon1993,
author = {Michon, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Gibbs measures; regular Cantor sets; entropy; statistical mechanics},
language = {fre},
number = {3},
pages = {267-285},
publisher = {Gauthier-Villars},
title = {Mesures de Gibbs sur les Cantor réguliers},
url = {http://eudml.org/doc/76606},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Michon, G.
TI - Mesures de Gibbs sur les Cantor réguliers
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 3
SP - 267
EP - 285
LA - fre
KW - Gibbs measures; regular Cantor sets; entropy; statistical mechanics
UR - http://eudml.org/doc/76606
ER -

References

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  1. [1] R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lectures Notes in Mathematics, n° 470, Springer-Verlag, Berlin, 1975. Zbl0308.28010MR442989
  2. [2] T. Bohr et D. Rand, The Entropy Function for characteristic Exponents, Physica, 25 D, North-Holland, Amsterdam, 1987. Zbl0643.58006MR887471
  3. [3] P. Collet, J. Lebowitz et A. Porzio, The Dimension Spectrum of some Dynamical Systems, J. Statistical Physics, vol. 47, 1987, p. 609-644. Zbl0683.58023MR912493
  4. [4] R.S. Ellis, Entropy, Large Deviations and Statistical Mechanics, Grundlehren der Math. Wiss., Springer-Verlag, New York. 1985. Zbl0566.60097MR793553
  5. [5] G. Michon, Les Cantors réguliers, C. R. Acad. Sci. Paris, 300, Séries I, 1987, p. 673- 675. Zbl0582.54019MR802649
  6. [6] G. Michon, Arbre, Cantor, Dimension, Preprint, Dijon, 1988, 122 p. 
  7. [7] G. Michon, Preprint, Dijon, 1988. 
  8. [8] G. Michon, Sur la dimension de Bouligand du Cookie-cutter Cantor set, Preprint, Dijon, 1988. 
  9. [9] G. Pólya et G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Grundlehren der Math. Wiss., Springer-Verlag, Berlin, 1964. Zbl0122.29704
  10. [10] D. Rand, The singularity Spectrum f (α) for Cookie-Cutters, Ergodic Theory and Dynamical Systems, vol. 9, 1989, p. 527-541. Zbl0664.58022MR1016670

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