The Cantor function (Q2489557)

This is an excellent (survey) article focused on the Cantor ternary function. The authors summarize and discuss its various properties in the Chapters: 2. Singularity, measurability and representability by absolutely continuous function; 3. Subadditivity, the points of local convexity; 4. Characterizations by means of functional equations; 5. The Cantor function as a distribution function; 6. Calculations of moments and the length of the graph; 7. Some topological properties; 8. Dini's derivatives; 9. Lebesgue's derivatives; 10. Hölder continuity, distortion of Hausdorff dimension, \(s_c\)-densities.