15 citations · 49 across the 8 of their papers we have counts for
14 papers
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…
Variational structures beyond gradient flows: a macroscopic fluctuation-theory perspective
Robert I. A. Patterson, D. R. Michiel Renger, Upanshu Sharma
Macroscopic equations arising out of stochastic particle systems in detailed balance (called dissipative systems or gradient flows) have a natural variational structure, which can…
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…