(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2017) Renger, D.R. Michiel
We consider a system of independent particles on a finite state space,
and prove a dynamic large-deviation principle for the empirical
measure-empirical flux pair, taking the specific fluxes rather than net
fluxes into account. We prove the large deviations under deterministic
initial conditions, and under random initial conditions satisfying a
large-deviation principle. We then show how to use this result to generalise
a number of principles from Macroscopic Fluctuation Theory to the
finite-space setting.
