Abstract
We give a formula for the Hausdorff dimension of fractals which are the support of certain Riesz-product type measures.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Billingsley, P.: Ergodic Theory and Information. New York: Wiley. 1965.
Brown, G., Moran, W., Pearce, C. E. M.: Riesz products, Hausdorff dimension and normal numbers. Math. Proc. Camb. Phil. Soc.101, 529–540 (1987).
Eggleston, H.: The fractional dimension of a set defined by decimal properties. Quart. J. Math.20, 31–36 (1949).
Falconer, K. J.. The Geometry of Fractal Sets. Cambridge: Univ. Press. 1985.
Peyrière, J.: Sur les produits de Riesz. C. R. Acad. Sci., Paris276, 1417–1419 (1973).
Peyrière, J.: Étude de quelques propriétés des produits de Riesz. Ann. Inst. Fourier, Grenoble25, 127–169 (1975).
Shiryayev, A. N.: Probability. Berlin-Heidelberg-New York: Springer. 1984.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bisbas, A., Karanikas, C. On the Hausdorff dimension of rademacher Riesz products. Monatshefte für Mathematik 110, 15–21 (1990). https://doi.org/10.1007/BF01571273
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01571273