Hausdorff dimension of level sets of generalized Takagi functions
Hausdorff dimension of level sets of generalized Takagi functions
This paper examines level sets of two families of continuous, nowhere differentiable functions (one a subfamily of the other) defined in terms of the "tent map". The well-known Takagi function is a special case. Sharp upper bounds are given for the Hausdorff dimension of the level sets of functions in …