4 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
3 papers
cs.IT2025
Multiplicative Turing Ensembles, Pareto's Law, and Creativity
Alexander Kolpakov, Aidan Rocke
We study integer-valued multiplicative dynamics driven by i.i.d. prime multipliers and connect their macroscopic statistics to universal codelengths. We introduce the Multiplicativ…
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…
q-alg1997★ 4 cited
Noncommutative analogues of q-special polynomials and q-integral on a quantum sphere
D. Gurevich, L. Vainerman
The q-Legendre polynomials can be treated as some special "functions in the quantum double cosets ". They form a family (depending on a parameter ) o…