Ferrera Cuesta, JuanGómez Gil, JavierLlorente Márquez, Jesús2023-06-162023-06-162021-11-221877-053310.1007/s11228-021-00620-1https://hdl.handle.net/20.500.14352/4668CRUE-CSIC (Acuerdos Transformativos 2021)In this work we completely describe the superdifferential of the Takagi-Van der Waerden functions and, as a consequence, the local maxima of these functions are characterized. Regarding the set of points where the superdifferential is not empty, we calculate its Hausdorff dimension as well as its corresponding Hausdorff measure. To do so, for any even integer greater than or equal to two we determine the 1/2-dimensional Hausdorff measure of the set of points where Takagi-Van der Waerden functions attain their global maximum.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.1007/s11228-021-00620-1open accessTakagi-Van der Waerden functionsSuperdifferentialLocal maxima setGlobal maxima setHausdorff dimensionHausdorff measureAnálisis matemáticoProbabilidades (Matemáticas)Teoría de números1202 Análisis y Análisis Funcional1205 Teoría de Números