Author

N. Lvov

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Preprint Sep 2026

A dynamic point of view on universality for random matrices over finite local rings

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, and hence the ergodic theorem for Markov chains can be applied. This implies, in particular, that for uniformly distributed p-adic random ma...

N. Lvov · 0 citations

Preprint Sep 2026

Markov chains arising in the study of random matrices over pro-finite rings

Recent work of the author investigates certain random processes, valued in abelian p-groups, that naturally arise in the study of Haar random matrices over $\mathbb{Z}_p$. It was found, somewhat surprisingly, that these processes are reversible Markov chains. In this short note, we give a simple alternative derivation...

N. Lvov · 1 citation