15 citations · 60 across the 52 of their papers we have counts for
5 papers · 1 filter
Connection intervals in multi-scale dynamic networks
Christian Hirsch, Benedikt Jahnel, Elie Cali
We consider a hybrid spatial communication system in which mobile nodes can connect to static sinks in a bounded number of intermediate relaying hops. We describe the distribution…
Stochastic Homogenization on Irregularly Perforated Domains
Martin Heida, Benedikt Jahnel, Anh Duc Vu
We study stochastic homogenization of a quasilinear parabolic PDE with nonlinear microscopic Robin conditions on a perforated domain. The focus of our work lies on the underlying g…
Gibbsianness and non-Gibbsianness for Bernoulli lattice fields under removal of isolated sites
Benedikt Jahnel, Christof Kuelske
We consider the i.i.d. Bernoulli field on with occupation density . To each realization of the set of occupied sites we apply a thinning map that r…
Limiting shape for First-Passage Percolation models on Random Geometric Graphs
Cristian F. Coletti, Lucas R. de Lima, Alexander Hinsen +2
Let a random geometric graph be defined in the supercritical regime for the existence of a unique infinite connected component in Euclidean space. Consider the first-passage percol…
Percolation and connection times in multi-scale dynamic networks
Christian Hirsch, Benedikt Jahnel, Elie Cali
We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into the question,…