4 papers
The geometry of the giant component of random geometric graphs
Karoline Dubin, Christian Gorski, Marcus Michelen
Consider a random geometric graph whose vertex set consists of points chosen independently and uniformly from a Riemannian manifold , with edges joining pairs of…
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 by a Poisson point process and pairs of points with distance at most 1 are connect…
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 with a non…
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 is a transitive graph of polynomial growth and , then f…