8 citations · 9 across the 4 of their papers we have counts for
15 papers
Hierarchical Configuration Model
Remco van der Hofstad, Johan S. H. van Leeuwaarden, Clara Stegehuis
We introduce a class of random graphs with a community structure, which we call the hierarchical configuration model. On the inter-community level, the graph is a configuration mod…
Lace expansion for dummies
Erwin Bolthausen, Remco van der Hofstad, Gady Kozma
We show Green's function asymptotic upper bound for the two-point function of weakly self-avoiding walk in dimension bigger than 4, revisiting a classic problem. Our proof relies o…
Strongly reinforced Pólya urns with graph-based competition
Remco van der Hofstad, Mark Holmes, Alexey Kuznetsov +1
We introduce a class of reinforcement models where, at each time step , one first chooses a random subset of colours (independent of the past) from colours of balls, a…
Large deviations for power-law thinned Levy processes
Elie Aidekon, Remco van der Hofstad, Sandra Kliem +1
This paper deals with the large deviations behavior of a stochastic process called thinned Levy process. This process appeared recently as a stochastic-process limit in the context…
Backbone scaling limit of the high-dimensional IIC
Markus Heydenreich, Remco van der Hofstad, Tim Hulshof +1
We identify the scaling limit of the backbone of the high-dimensional incipient infinite cluster (IIC), both in the long- as well as in the finite-range setting. In the finite-rang…
Uncovering disassortativity in large scale-free networks
Nelly Litvak, Remco van der Hofstad
Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree dependencies be…