Andr'as M'esz'aros

collaborators

3 papers

math.PR2025

Last passage percolation in a product-type random environment

Yuri Bakhtin, Konstantin Khanin, AndrÃ¡s MÃ©szÃ¡ros +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…

math.CO2025

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

AndrÃ¡s MÃ©szÃ¡ros

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.CO2024

Coboundary expansion for the union of determinantal hypertrees

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.