15 citations · 49 across the 8 of their papers we have counts for
3 papers · 1 filter
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…