4 papers · 1 filter
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…
Detection of first homology via random geometric graphs in the thermodynamic regime
Christian Gorski
Consider a random geometric graph on a compact Riemannian manifold , whose vertices are a cloud of independently sampled points, and whose edges connect vertices…
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…