Bibliographical references


Bandt, C., Deterministic Fractals and Fractal Measures, Lecture Notes of the School on Measure Theory and Real Analysis, Grado, Italy, 1991.

Barnsley, M., Fractals Everywhere, Academic Press, 1988.

Besicovitch, A.S., "On the Sum of Digits of Real Numbers Represented in the Dyadic System", Math. Annalen, 110 (1934), 321-30.

Billingsley, P., Hausdorff Dimension in Probability Theory, Illinois J. Math. 4 (1960), 187-209.

Deliu, A.; Geronimo, J.S.; Shonkwiler, R. and Hardin, D., Dimensions Associated with Recurrent Self-similar Sets, Math. Proc. Cambo Phil. Soc. 110 (1991), 327-36.

Egglestone, H.G., The Fractional Dimension of a Set Defined by Decimal Properties, Quart. J. of Math. Oxford Ser. 20 (1949), 31-6.

Hutchinson, J.E., Fractals and self similarity, Indiana Univ. Math. J. 30 (1981), 713-47.

Martín, M.A. and Mattila, P., k-Dimensional Regularity Classifications for s-Fractals, Trans. Amer. Math. Soc. 305 (1988), 293-315.

Morán, M., Self-Similar Sets Generated by Infinite Systems of Similitudes, preprint.

Raghunathan, M.S., A Proof of Oseledec's Multiplicative Ergodic Theorem, Israel J. Math., 32, 4 (1978) 356-362.

Rogers, C.A. and S.J. Taylor, Functions Continuous and Singular with respect to a Hausdorff Measure, Mathematika, 8 (1961), 1-31.

Schief, A., SOSC and OSC are Equivalent, preprint.

Tricot, C., Two Definitions of Fractional Dimension, Math. Prac. Cambo Phil. Soc. 91 (1982), 57-74.

Walters, P., An Introduction to Ergodic Theory, Springer-Verlag, 1982.

Young, L.S., Dimension, Entropy and Liapunov Exponents, Ergodic Theory & Dynamical Systems 2 (1982), 109-24.