Entropie, dimension et thermodynamique des courbes planes
Séminaire de Philosophie et Mathématiques, no. 5 (1983), pp. 1-25.
@article{SPHM_1983___5_A1_0,
     author = {Mend\`es France, M.},
     title = {Entropie, dimension et thermodynamique des courbes planes},
     journal = {S\'eminaire de Philosophie et Math\'ematiques},
     pages = {1--25},
     publisher = {Institut des Hautes \'Etudes Scientifiques~; \'Ecole Normale Sup\'erieure},
     number = {5},
     year = {1983},
     zbl = {0529.10051},
     language = {fr},
     url = {http://www.numdam.org/item/SPHM_1983___5_A1_0/}
}
TY  - JOUR
AU  - Mendès France, M.
TI  - Entropie, dimension et thermodynamique des courbes planes
JO  - Séminaire de Philosophie et Mathématiques
PY  - 1983
SP  - 1
EP  - 25
IS  - 5
PB  - Institut des Hautes Études Scientifiques ; École Normale Supérieure
UR  - http://www.numdam.org/item/SPHM_1983___5_A1_0/
LA  - fr
ID  - SPHM_1983___5_A1_0
ER  - 
%0 Journal Article
%A Mendès France, M.
%T Entropie, dimension et thermodynamique des courbes planes
%J Séminaire de Philosophie et Mathématiques
%D 1983
%P 1-25
%N 5
%I Institut des Hautes Études Scientifiques ; École Normale Supérieure
%U http://www.numdam.org/item/SPHM_1983___5_A1_0/
%G fr
%F SPHM_1983___5_A1_0
Mendès France, M. Entropie, dimension et thermodynamique des courbes planes. Séminaire de Philosophie et Mathématiques, no. 5 (1983), pp. 1-25. http://www.numdam.org/item/SPHM_1983___5_A1_0/

[1] F.M. Dekking, M. Mendes France. Uniform distribution modulo one : a geometrical viewpoint, Jour. fur die reine und angewandt Math. 329, 1981, 143-153. | MR | Zbl

[2] J.S. Dugdale. Entropy and low temperature physics, Hutchinson University Library 1966, réimprimé 1970.

[3] Y. Dupain, M. Mendes France. Dimensions des spirales, Bull. Soc. Math. France, Bull. Soc. Math. France, à paraître. | Numdam | Zbl

[4] A. Einstein. Annalen der Physik 22, 1907, 180. | JFM

[5] R. Feynman. La nature de la physique, Collection Points Seuil 1980.

[6] D.S. Jones. Elementary Information Theory, Oxford applied mathematics and computing science series, Clarendon Press, Oxford 1979. | MR | Zbl

[7] M. Kac. Some mathematical problems in statistical mechanics, Studies in probability édité par M. Rosenblatt, Studies in Mathematics, Mathematics association of America, 18, 1978, 180-228. | MR | Zbl

[9] B.B. Mandelbrot. Fractals, Freeman San Francisco 1977. | MR | Zbl

[10] N.F. Martin, J.W. England. Mathematical Theory of Entropy, Encyclopedia of Math, and its applicat. 12, Addison Wesley 1981. | MR | Zbl

[11] M. Mendes France, G. Tenenbaum. Dimension des courbes planes, papiers pliés et suites de Rudin-Shapiro, Bull. Soc. Math. France, 109, 1981, 207-215. | Numdam | MR | Zbl

[12] D. Ruelle. Thermodynamic Formalism. Encyclopedia of Math. and its appl. 5, Addison Wesley 1978. | MR | Zbl

[13] L.A. Santalo. Integral geometry and geometric probability. Encyclopedia of Math. and its appl. 1, Addison Wesley 1976. | MR | Zbl

[14] H. Steinhaus. Length shape and area, Colloq. Math. 3, 1954, 1-13. | MR | Zbl

[15] C.J. Thompson. Mathematical Statistical Mechanics, Princeton University Press 1979. | MR | Zbl