Seminar Francesco Coghi -- ICTP 31/3 at 2pm

[Antonio Celani]

Tuesday 31 March  at 14:00 CET
Francesco Coghi (U. Nottingham)
 will give a seminar in the common area at the 2nd floor of the ex-Sissa
building at ICTP


*Title*: Level 2.5 large deviations and uncertainty relations for
non-Markov self-interacting dynamics

*Abstract*: Self-interacting jump processes are stochastic systems where
transition rates depend on the process' own empirical occupation
measure—the  time-averaged distribution over visited states—introducing a
feedback that breaks Markovianity. In this talk, I will present a large
deviation framework for such systems. I will derive the level-2.5 rate
functional for the joint fluctuations of occupation measure and probability
flux, constructed via exponential tilting extended to the non-Markovian
setting. I will then show how memory modifies fluctuation bounds, yielding
kinetic and thermodynamic uncertainty relations that generalise their
Markov counterparts. Depending on time, I will close with one or two
examples illustrating how feedback reshapes fluctuation-dissipation
trade-offs.