6 papers · 1 filter
Quantitative universality for products of i.i.d. random matrices
Nikita Lvov
Using estimates established in a previous paper, we prove quantitative universality results for cokernels of products of i.i.d. random matrices and for flags associated to k-tuples…
A dynamic point of view on universality for random matrices over finite local rings
Nikita Lvov
We consider the cokernel corners process for an i.i.d. matrix with entries in a finite local ring. When the distribution of the entries is uniform, this process is a Markov chain,…
A random walk on p-groups with a symmetric perfect pairing
Nikita Lvov
The kernel of a random symmetric p-adic matrix is a random abelian group, equipped with a symmetric pairing. If we consider not only the matrix but also its top-left corners, we ge…
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…
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…
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…