2 papers
math.PR2024
Rank fluctuations of matrix products and a moment method for growing groups
Hoi H. Nguyen, Roger Van Peski
We consider the cokernel of a product of independent random integer matrices with iid entries from generic nondegenerate dis…
math.CO2024
Symmetric functions and the explicit moment problem for abelian groups
Roger Van Peski
Recently, Sawin and Wood (arXiv:math/2210.06279) proved a formula for the distribution of a random abelian group in terms of its -moments $\mathbb{E} [\#\operatorname{Sur}(G…