3 papers
math.PR2026
On the satisfaction frequency of spectral characterization conditions
Nikita Lvov, Alexander Van Werde
We give the first specific conjectures on how frequently graphs satisfy sufficient conditions for being uniquely characterized by spectral information. These conjectures arise from…
math.PR2026
Universality results for random matrices over finite local rings
Nikita Lvov
Let be a finite local ring. We prove a quantitative universality statement for the cokernel of random matrices with i.i.d. entries valued in . Rather than use the moment met…
math.PR2024
A random walk on the category of finite abelian -groups
Nikita Lvov
We study an irreducible Markov chain on the category of finite abelian -groups, whose stationary measure is the Cohen-Lenstra distribution. This Markov chain arises when one stu…