most citedBenford's Law from Turing Ensembles and Integer Partitions

1 citations

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2 papers

cs.IT2025

Lagrangians, Renormalization, and Quantization in Prefix Coding

Alexander Kolpakov, Aidan Rocke

We develop a statistical mechanics framework for prefix coding based on variational principles, renormalization, and quantization. A Lagrangian formulation of entropy-optimal encod…

cs.IT2025★ 1 cited

Benford's Law from Turing Ensembles and Integer Partitions

Alexander Kolpakov, Aidan Rocke

We develop two complementary generative mechanisms that explain when and why Benford's first-digit law arises. First, a probabilistic Turing machine (PTM) ensemble induces a geomet…