15 citations · 49 across the 8 of their papers we have counts for
10 papers · 1 filter
Spatial particle processes with coagulation: Gibbs-measure approach, gelation and Smoluchowski equation
Luisa Andreis, Wolfgang König, Heide Langhammer +1
We study a spatial Markovian particle system with pairwise coagulation, a spatial version of the Marcus--Lushnikov process: according to a coagulation kernel , particle pairs me…
A large-deviations principle for all the components in a sparse inhomogeneous random graph
Luisa Andreis, Wolfgang König, Heide Langhammer +1
We study an inhomogeneous sparse random graph on [N] = {1, . . . , N } as introduced in a seminal paper by Bollobas, Janson and Riordan (2007): vertices have a type (here in a comp…
Large deviations for Markov jump processes with uniformly diminishing rates
Andrea Agazzi, Luisa Andreis, Robert I. A. Patterson +1
We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly en…
Bilinear Coagulation Equations
Daniel Heydecker, Robert I. A. Patterson
We consider coagulation equations of Smoluchowski or Flory type where the total merge rate has a bilinear form for a vector of conserved quantities , generalis…
A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph
Luisa Andreis, Wolfgang König, Robert I. A. Patterson
Let be the Erdős-Rényi graph with connection probability as for a fixed . We derive a large-deviatio…
Large deviations of reaction fluxes
Robert Patterson, Michiel Renger
We study a system of interacting particles that randomly react to form new particles. The reaction flux is the rescaled number of reactions that take place in a time interval. We p…
Space-time large deviations in capacity-constrained relay networks
Christian Hirsch, Benedikt Jahnel, Robert Patterson
We consider a single-cell network of random transmitters and fixed relays in a bounded domain of Euclidean space. The transmitters arrive over time and select one relay according t…
Traffic flow densities in large transport networks
Christian Hirsch, Benedikt Jahnel, Paul Keeler +1
We consider transport networks with nodes scattered at random in a large domain. At certain local rates, the nodes generate traffic flowing according to some navigation scheme in a…
Large deviations in relay-augmented wireless networks
Christian Hirsch, Benedikt Jahnel, Paul Keeler +1
We analyze a model of relay-augmented cellular wireless networks. The network users, who move according to a general mobility model based on a Poisson point process of continuous t…
Large-deviation principles for connectable receivers in wireless networks
Christian Hirsch, Benedikt Jahnel, Paul Keeler +1
We study large-deviation principles for a model of wireless networks consisting of Poisson point processes of transmitters and receivers, respectively. To each transmitter we assoc…