Large deviations at level 2.5 and for trajectories observables of diffusion processes: the missing parts with respect to their random-walks counterparts

C Monthus - Journal of Physics A: Mathematical and Theoretical, 2024 - iopscience.iop.org
Behind the nice unification provided by the notion of the level 2.5 in the field of large
deviations for time-averages over a long Markov trajectory, there are nevertheless very …

On the integration of Ito equations with a random or a W-symmetry

G Gaeta - Journal of Mathematical Physics, 2023 - pubs.aip.org
Symmetries can be used to integrate scalar Ito equation–or reduce systems of such
equations–by the Kozlov substitution, ie passing to symmetry adapted coordinates. While …

Effects of Multiplicative Noise in Bistable Dynamical Systems

SCQ Valente, RCL Bruni, ZG Arenas, DG Barci - Entropy, 2025 - mdpi.com
This study explores the escape dynamics of bistable systems influenced by multiplicative
noise, extending the classical Kramers rate formula to scenarios involving state-dependent …