Events Archive

We revisit inhomogenous long-range percolation models in Euclidean space and give an overview of results obtained in the recent past. Particular attention is given to 'kernel-based' variants, where edge probabilities are parametrised by spatial distance of the adjacent vertices and a bivariate kernel that takes as input a pair of independent 'fitnesses' intrinsic to each vertex. The talk is partly based on several joint works with Peter Gracar (U Leeds), Markus Heydenreich (U Augsburg), Lukas Lüchtrath (WIAS Berlin) and Peter Mörters (U Köln).