Develops a martingale framework for sum-of-digits difference measures μ_t via stopped random walks on binary trees, reducing the Cusick conjecture to a general claim on asymmetric tree evolution with numerical support.
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The martingale evolution of probability measures defined via the sum-of-digits functions
Develops a martingale framework for sum-of-digits difference measures μ_t via stopped random walks on binary trees, reducing the Cusick conjecture to a general claim on asymmetric tree evolution with numerical support.