C. Gorski

activity

20212026

collaborators

8 papers

math.CO2026

On the composition of permutons

Christian Gorski

Permutons can be thought of as "continuum limits" of permutations of diverging size, which encode information about the number of occurrences of any given finite subpattern. We con…

math.PR2026

Detection of first homology via random geometric graphs in the thermodynamic regime

Christian Gorski

Consider a random geometric graph $G_{M} (n; r)$ on a compact Riemannian manifold $M$ , whose vertices are a cloud of $n$ independently sampled points, and whose edges connect vertices…

math.PR2026

The geometry of the giant component of random geometric graphs

Karoline Dubin, Christian Gorski, Marcus Michelen

Consider a random geometric graph $G_{M} (n; r)$ whose vertex set consists of $n$ points chosen independently and uniformly from a Riemannian manifold $M$ , with edges joining pairs of…

math.PR2026

Lipschitz continuity of the time constant for continuum percolation

Karoline Dubin, Christian Gorski

We consider the Boolean model of continuum percolation, where points are placed in $R^{d}$ by a Poisson point process and pairs of points with distance at most 1 are connect…

math.PR2025

The CLT for lamplighter groups with an acylindrically hyperbolic base

Maksym Chaudkhari, Christian Gorski, Eduardo Silva

We prove a Central Limit Theorem for the drift of a non-elementary random walk with a finite exponential moment on a wreath product $A ≀ H = ⨁_{H} A ⋊ H$ with $A$ a non…

math.PR2025

Chemical distance in graphs of polynomial growth

Christian Gorski, Eviatar B. Procaccia

We prove an Antal-Pisztora type theorem for transitive graphs of polynomial growth. That is, we show that if $G$ is a transitive graph of polynomial growth and $p > p_{c} (G)$ , then f…

math.PR2022

Strict monotonicity for first passage percolation on graphs of polynomial growth and quasi-trees

Christian Gorski

In 1993 van den Berg and Kesten proved a strict monotonicity theorem for first passage percolation on $Z^{d}$ , $d \geq 2$ : given two probability measures $ν$ and $ν ~$ wi…

math.PR2021

Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups

Antonio Auffinger, Christian Gorski

We study first passage percolation (FPP) with stationary edge weights on Cayley graphs of finitely generated virtually nilpotent groups. Previous works of Benjamini-Tessera and Can…