33 citations · 208 across the 32 of their papers we have counts for
5 papers · 1 filter
Path-space moderate deviations for a class of Curie-Weiss models with dissipation
Francesca Collet, Richard C. Kraaij
We modify the Glauber dynamics of the Curie-Weiss model with dissipation in Dai Pra, Fischer, Regoli[2013] by considering arbitrary transition rates and we analyze the phase-portra…
A generator approach to stochastic monotonicity and propagation of order
Richard C. Kraaij, Moritz Schauer
We study stochastic monotonicity and propagation of order for Markov processes with respect to stochastic integral orders characterized by cones of functions satisfying …
Well-posedness of Hamilton-Jacobi equations in population dynamics and applications to large deviations
Richard C. Kraaij, Louis Mahé
We prove Freidlin-Wentzell type large deviation principles for various rescaled models in populations dynamics that have immigration and possibly harvesting: birth-death processes,…
Classical large deviations theorems on complete Riemannian manifolds
Richard C. Kraaij, Frank Redig, Rik Versendaal
We generalize classical large deviations theorems to the setting of complete Riemannian manifolds. We prove the analogue of Mogulskii's theorem for geodesic random walks via a gene…
Path-space moderate deviations for a Curie-Weiss model of self-organized criticality
Francesca Collet, Matthias Gorny, Richard Clemens Kraaij
The dynamical Curie-Weiss model of self-organized criticality (SOC) was introduced in \cite{Gor17} and it is derived from the classical generalized Curie-Weiss by imposing a micros…