Proves local modulus of continuity of weighted Takagi-van der Waerden class functions is described by standard Brownian motion via strong approximation of elephant random walks with variable step length.
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An almost sure invariance principle for the Takagi-van der Waerden class functions
Proves local modulus of continuity of weighted Takagi-van der Waerden class functions is described by standard Brownian motion via strong approximation of elephant random walks with variable step length.