András Mészáros

most citedA phase transition for the cokernels of random band matrices over the p-adic integers

1 citations · 1 across the 4 of their papers we have counts for

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math.CO2026

Persistence diagrams of random triangular matrices over finite fields

András Mészáros

Let us consider a random infinite lower triangular matrix, where the entries on and below the diagonal are i.i.d. uniform random elements of a fixed finite field. We investigate th…

math.CO2025

Using dense graph limit theory to count cocycles of random simplicial complexes

András Mészáros

We develop a limit theory for $1$ -cochains of complete graphs with coefficients from a finite abelian group. We prove an analogue of the large deviation principle of Chatterjee and…

math.CO2025

The homology torsion growth of determinantal hypertrees

András Mészáros

Fix a dimension $d \geq 2$ , and let $T_{n}$ be a random $d$ -dimensional determinantal hypertree on $n$ vertices. We prove that \[\frac{\log|H_{d-1}(T_n,\mathbb{Z})|}{n\choose {d}}\] co…