5 papers
Level 2.5 large deviations and uncertainty relations for non-Markov self-interacting dynamics
Francesco Coghi, Amarjit Budhiraja, Juan P. Garrahan
We address the general problem of formulating the dynamical large deviations of non-Markovian systems in a closed form. Specifically, we consider a broad class of ``self-interactin…
Level 2.5 large deviations and uncertainty relations for self-interacting jump processes: tilting constructions and the emergence of time-scale separation
Francesco Coghi, Juan P. Garrahan
Self-interacting jump processes (SIJPs) describe systems with non-Markovian stochastic dynamics in which transition rates depend on empirical observables of the process, which give…
Jump Processes with Self-Interactions: Large Deviation Asymptotics
Amarjit Budhiraja, Francesco Coghi
We consider a pure jump process with values in a finite state space for which the jump rates at time instant depend on the occupation m…
Self-interacting processes via Doob conditioning
Francesco Coghi, Juan P. Garrahan
We connect self-interacting processes, that is, stochastic processes where transitions depend on the time spent by a trajectory in each configuration, to Doob conditioning. In this…
Current fluctuations of a self-interacting diffusion on a ring
Francesco Coghi
We investigate fluctuations in the average speed or current of a self-interacting diffusion (SID) on a ring, mimicking the non-Markovian behaviour of an agent influenced by its own…