Besicovitch subsets of self-similar sets

Annales de l'Institut Fourier

Volumn 52, Issue 4, 2002, Pages

  Ma, J H ^a   Wen, Z Y ^b   Wu, J ^a  

^a WUHAN UNIVERSITY   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

Bescovitch set; Gauge functions; Perturbation measures

Indexed keywords

EID: 0037492141     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1911     Document Type: Article

References (8)

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5. M. MORAN and J. REY, Singularity of self-similar measures with respect to Hausdorff measures, Trans. of Amer. Math. Soc., 350-6 (1998), 2297-2310.
6. Y. PERES, The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure, Math. Proc. Camb. Phil. Soc., 116 (1994), 513-526.
7. A.N. SHIRYAYEV, Probability, Springer-Verlag, New York, 1984.
8. J. TAYLOR, The measure theory of random fractals, Math. Proc. Cambridge Philo. Soc., 100 (1986), 383-408.