Random recursive construction of Salem sets

Arkiv for Matematik

Volumn 34, Issue 1, 1996, Pages 51-63

  Bluhm, Christian ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039338601     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02559506     Document Type: Article

References (14)

1. BLUHM, C., Zufällige Salem-Mengen, Master's thesis, Erlangen, 1994.
2. BLUHM, C., Zur Konstruktion von Salem-Mengen, Forthcoming doctoral thesis, Erlangen, 1996.
3. FALCONER, K. J., Fractal Geometry. Mathematical Foundations and Applications, J. Wiley & Sons, Chichester, 1990.
4. FROSTMAN, O., Potential d'équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Medd. Lunds Univ. Math. Sem. 3 (1935), 1-118.
5. GRAF, S., Statistically self-similar fractals, Probab. Theor. Relat. Fields 74 (1987), 357-392.
6. HUREWICZ, W. and WALLMAN, H., Dimension Theory, Princeton University Press, Princeton, N. J., 1941.
7. KAHANE, J.-P., Brownian motion and classical analysis, Bull. London Math. Soc. 8 (1976), 145-155.
8. KAHANE, J.-P., Some Random Series of Functions, Cambridge University Press, 2nd ed., Cambridge, 1985.
9. KECHRIS, A. S. and LOUVEAU, A., Descriptive set theory and harmonic analysis, J. Symbolic Logic 57 (1992), 413-441.
10. MATHERON, G., Random Sets and Integral Geometry, J. Wiley & Sons, New York -London, 1975.
11. MAULDIN, R. D. and WILLIAMS, S. C., Random recursive constructions: asymptotic geometric and topological properties, Trans. Amer. Math. Soc. 295 (1986), 325-346.
12. SALEM, R., Sets of uniqueness and sets of multiplicity, Trans. Amer. Math. Soc. 54 (1943), 218-228.
13. SALEM, R., On singular monotonic functions whose spectrum has a given Hausdorff dimension, Ark. Mat. 1 (1950), 353-365.
14. STEINHAUS, H., Sur la probabilité de la convergence de séries, Studia Math. 2 (1930), 21-39.