Order-two density and the strong law of large numbers

Mathematika

Volumn 43, Issue 1, 1996, Pages 1-22

  Marstrand, J M ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344467427     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0025579300011554     Document Type: Article

References (14)

1. T. Bedford and A. M. Fisher. Analogues of the Lebesgue density theorem for fractal sets of reals and integers. Proc. London Math. Soc. (3), 64 (1992), 95-124.
2. A. S. Besicovitch. On the fundamental geometrical properties of linearly measurable sets of points. Math. Annalen, 98 (1928), 422-464.
3. A. S. Besicovitch. On the fundamental geometrical properties of linearly measurable sets of points. II. Math. Annalen, 115 (1938), 296-329.
4. A. S. Besicovitch. On the fundemental geometric properties of linearly measurable sets of points. III. Math. Annalen, 116 (1939), 349-357.
5. K. J. Falconer. The Geometry of Fractal Sets. Cambridge Tracts in Mathematics, 85 (Cambridge University Press, 1985).
6. K. J. Falconer. Wavelet transforms and order-two densities of fractals. J. Stat. Physics, 67 (1992), 781-793.
7. K. J. Falconer and O. B. Springer. Order-two density of sets and measures with non-integral dimensions. Mathematika, 42 (1995), 1-14.
8. H. Federer. Geometric Measure Theory. Grundlehren math. Wiss., 153 (Springer, 1969).
9. G. R. Grimmett and D. R. Stirzaker. Probability and Random Processes (Clarendon Press, Oxford, 1992).
10. J. M. Marstrand. The (Ø, n)-regular subsets of n-space. Trans. Amer. Math. Soc., 113 (1964), 369-392.
11. P. Mattila. Geometry of Sets and Measures in Euclidean Spaces (Cambridge University Press, 1995).
12. T. C. O'Neil. A local version of the projection theorem and other results in Geometric Measure Theory. Ph.D. Thesis (University College London, 1994).
13. D. Preiss. Geometry of measures in R": Distribution, rectifiability and densities. Annals of Math., 125 (1987), 537-643.
14. O. B. Springer. Order-two Density and Self-conformal Sets. Ph.D. Thesis (University of Bristol, 1994).