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19942026
most citedRestoring the density-gradient expansion for exchange in solids and surfaces

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78 papers · 1 filter

math.PR2025★ 4 cited

Random walks and Lorentz processes

Domokos Szasz

Random walks and Lorentz processes serve as fundamental models for Brownian motion. The study of random walks is a favorite object of probability theory, whereas that of Lorentz pr…

math.PR2024

Permuton limit of a generalization of the Mallows and -card-minimum models

Joanna Jasińska, Balázs Ráth

We introduce and study a new random permutation model that generalizes the -card minimum model defined by Travers and the Mallows model. We calculate the permuton limit of such…

math.PR2023

Fluctuations around the diagonal in Bernoulli-Exponential first passage percolation

Bálint Vető

We prove that the rescaled one-point fluctuations of the boundary of the percolation cluster in the Bernoulli-Exponential first passage percolation around the diagonal converge to…

math.PR2023

The geometry of coalescing random walks, the Brownian web distance and KPZ universality

Bálint Vető, Bálint Virág

Coalescing simple random walks in the plane form an infinite tree. A natural directed distance on this tree is given by the number of jumps between branches when one is only allowe…

math.PR2022★ 3 cited

Random interlacement is a factor of i.i.d

Márton Borbényi, Balázs Ráth, Sándor Rokob

The random interlacement point process (introduced by Sznitman, generalized by Teixeira) is a Poisson point process on the space of labeled doubly infinite nearest neighbour trajec…

math.PR2022★ 1 cited

Color-avoiding percolation in edge-colored Erdős-Rényi graphs

Balázs Ráth, Kitti Varga, Panna Tímea Fekete +1

We study a variant of the color-avoiding percolation model introduced by Krause et al., namely we investigate the color-avoiding bond percolation setup on (not necessarily properly…