András Mészáros

activity

20232026

most citedThe

2

-torsion of determinantal hypertrees is not Cohen-Lenstra

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.CO2026

Cocycles of determinantal hypertrees with small support

András Mészáros

Let $T_{n}$ be a random $2$ -dimensional determinantal hypertree on $n$ vertices. Given any prime $p$ , we answer the following question: If a cocycle in $Z^{1} (T_{n}, F_{p})$ ha…

math.CO2024★ 1 cited

The $2$ -torsion of determinantal hypertrees is not Cohen-Lenstra

András Mészáros

Let $T_{n}$ be a $2$ -dimensional determinantal hypertree on $n$ vertices. Kahle and Newman conjectured that the $p$ -torsion of $H_{1} (T_{n}, Z)$ asymptotically follows the Cohen-…

math.CO2024

Bounds on the mod 2 homology of random 2-dimensional determinantal hypertrees

András Mészáros

As a first step towards a conjecture of Kahle and Newman, we prove that if $T_{n}$ is a random $2$ -dimensional determinantal hypertree on $n$ vertices, then \[\frac{\dim H_1(T_n,\mat…

math.CO2023

Coboundary expansion for the union of determinantal hypertrees

András Mészáros

We prove that for any large enough constant $k$ , the union of $k$ independent $d$ -dimensional determinantal hypertrees is a coboundary expander with high probability.

math.PR2023

Last passage percolation in a product-type random environment

Yuri Bakhtin, Konstantin Khanin, András Mészáros +1

We consider a last passage percolation model in dimension $1 + 1$ with potential given by the product of a spatial i.i.d. potential with symmetric bounded distribution and an indepen…

Cocycles of determinantal hypertrees with small support

The 2-torsion of determinantal hypertrees is not Cohen-Lenstra

Bounds on the mod 2 homology of random 2-dimensional determinantal hypertrees

Coboundary expansion for the union of determinantal hypertrees

Last passage percolation in a product-type random environment

The $2$ -torsion of determinantal hypertrees is not Cohen-Lenstra