The Assouad dimension of the graph of every generalized Takagi function with limsup b^n|c_n| < ∞ is 1, and for T_{a,b} this happens exactly when a ≤ 1/b.
Bara´ nski.Dimension of the graphs of the Weierstrass-type functions
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Assouad dimension of the Takagi function
The Assouad dimension of the graph of every generalized Takagi function with limsup b^n|c_n| < ∞ is 1, and for T_{a,b} this happens exactly when a ≤ 1/b.