5 papers · 1 filter
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…
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…