On dimension of porous measures

Mathematische Annalen

Volumn 323, Issue 1, 2002, Pages 123-141

  Beliaev, D B ^a   Smirnov, S K ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036016699     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080100299     Document Type: Article

References (10)

1. [Bou] Jean Bourgain, On the Hausdorff dimension of harmonic measure in higher dimension, Invent. Math. 87 (1987), no. 3, 477-483
2. [Bow] Rufus Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., 470, Springer, Berlin, 1975
3. [EJJ] Jean-Pierre Eckmann, Esa Järvenpää, and Maarit Järvenpää, Porosities and dimensions of measures, Nonlinearity, 13 (2000), 1-18
4. [F] Kenneth Falconer, Techniques in fractal geometry. John Wiley & Sons, Ltd., Chichester, 1997
5. n: local structure and dimensional properties, preprint
6. [JM] Peter Jones, Nikolai Makarov, Density properties of harmonic measure, Ann. of Math. (2) 142 (1995), no. 3, 427-455
7. [KR] Pekka Koskela, Steffen Rohde, Hausdorff Dimension and mean porosity, Math. Ann. 309 (1997), 593-609
8. [Mak] Nikolai Makarov, Fine structure of harmonic measure, St. Petersburg Math. J. 10 (1999), no. 2, 217-268
9. [Mat] Pertti Mattila, Distribution of sets and measures along planes. J. London Math. Soc. (2) 38 (1988), no. 1, 125-132
10. n, Proc. London Math. Soc. (3) 62 (1991), 353-372