@article{AIHPB_1998__34_3_309_0,
author = {Heurteaux, Yanick},
title = {Estimations de la dimension inf\'erieure et de la dimension sup\'erieure des mesures},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {309--338},
year = {1998},
publisher = {Gauthier-Villars},
volume = {34},
number = {3},
mrnumber = {1625871},
zbl = {0903.28005},
language = {fr},
url = {https://www.numdam.org/item/AIHPB_1998__34_3_309_0/}
}
TY - JOUR AU - Heurteaux, Yanick TI - Estimations de la dimension inférieure et de la dimension supérieure des mesures JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1998 SP - 309 EP - 338 VL - 34 IS - 3 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1998__34_3_309_0/ LA - fr ID - AIHPB_1998__34_3_309_0 ER -
%0 Journal Article %A Heurteaux, Yanick %T Estimations de la dimension inférieure et de la dimension supérieure des mesures %J Annales de l'I.H.P. Probabilités et statistiques %D 1998 %P 309-338 %V 34 %N 3 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_1998__34_3_309_0/ %G fr %F AIHPB_1998__34_3_309_0
Heurteaux, Yanick. Estimations de la dimension inférieure et de la dimension supérieure des mesures. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 3, pp. 309-338. https://www.numdam.org/item/AIHPB_1998__34_3_309_0/
[1] , Harmonic measure of some Cantor type sets, Ann. Acad. Sci. Fenn., vol. 21, 1996, p. 255-270. | Zbl | MR
[2] et , The boundary correspondance under quasiconformal mappings, Acta Math., vol. 96, 1956, p. 125-142. | Zbl | MR
[3] , On the sum of digits of real numbers represented in the dyadic system, Math. Annalen, vol. 110, 1934-35, p. 321-330. | Zbl | JFM
[4] , Ergodic theory and information, J. Wiley & Sons, Inc., New York, 1965. | Zbl
[5] , A multifractal analysis of an interesting class of measures, Colloq. Math., vol. 69, 1995, p. 37-42. | Zbl | MR
[6] et , On the Hausdorff dimension of Rademacher Riesz products, Monatsh. Math., vol. 110, 1990, p. 15-21. | Zbl | MR
[7] , On the Hausdorff dimension of harmonic measure in higher dimension, Invent. Math., vol. 87, 1987, p. 477-483. | Zbl | MR
[8] , et , On the Multifractal Analysis of Measures, J. Stat. Phys., vol. 66, 1992, p. 775-790. | Zbl | MR
[9] , et , Completely singular elliptic-harmonic measures, Ind. U. Math. J., vol. 30, 1981, p. 917-924. | Zbl | MR
[10] , On the support of harmonic for sets of cantor type, Ann. Acad. Sci. Fenn., vol. 10, 1985, p. 113-123. | Zbl | MR
[ 11 ] , The fractional dimension of a set defined by decimal properties, Quart. J. Math. Oxford, Ser. (2), vol. 20, 1949, p. 31-46. | Zbl | MR
[12] , Fractal Geometry, Mathematical Foundations and Applications, J. Wiley & Sons Ltd., New York, 1990. | Zbl
[13] , Décompositions de mesures et recouvrements aléatoires, Publication d'Orsay 89-03, 1989. | Zbl
[14] , Sur la dimension des mesures, Studia Math., vol. 111, 1994, p. 1-17. | Zbl | EuDML
[15] , et , The theory of weights and the Dirichlet problem for elliptic equations, Ann. of Math. (2), vol. 134, 1991, p. 65-124. | Zbl | MR
[16] et , Distorsion estimates for quasisymmetric functions, Ann. Univ. Mariae Curie-Sklodowska Sect. A, vol. 36-37, 1982-83, p. 51-67. | Zbl | MR
[17] , Sur la comparaison des mesures avec les mesures de Hausdorff, C.R. Acad. Sci., Paris, t. 321, série 1, 1995, p. 61-65. | Zbl | MR
[18] et , Two problems on doubling measures, Rev. Mat. Iberoamericana, vol. 11, 1995, p. 527-545. | Zbl | MR | EuDML
[19] et , On the harmonic measure of discontinous fractals, preprint LOMI E-6-86, Lenningrad, 1986.
[20] , The dimension of the maximal measure for a polynomial map, Ann. of Maths. (2), vol. 119, 1984, p. 425-430. | Zbl | MR
[21] , Mesures de Gibbs sur les cantor réguliers, Ann. Inst. H. Poincaré, Phys. Théor., vol. 58, 1983, p. 267-285. | Zbl | MR | Numdam | EuDML
[22] , A dimension result arising from the Lq spectrum of a measure, Proc. Amer. Math. Soc., vol. 125, 1997, p. 2943-2951. | Zbl | MR
[23] , An introduction to fractal measures and dimensions, Lectures at Xiangfan, 1995.
[24] , Sur la classification des ensembles boréliens de mesure de Lebesgue nulle, Thèse, Faculté des Sciences de l'Université de Genève, 1980.
[25] Jr, Two definitions of fractional dimension, Math. Proc. Camb. Phil. Soc., vol. 91, 1982, p. 57-74. | Zbl | MR
[26] , Hausdorff dimension and quasisymmetric mappings, Math. Scand., vol. 65, 1989, p. 152-160. | Zbl | MR | EuDML
[27] , Dimension, entropy and Lyapunov exponents, Ergod. Th. & Dynam. Sys., vol. 2, 1982, p. 109-124. | Zbl






