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PRODID:Faculty of Science and Engineering - Research
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SUMMARY:Francesco Coghi (U Nottingham): Large deviations in self-interacting jump processes
DESCRIPTION;ENCODING=QUOTED-PRINTABLE: Self-interacting jump processes are stochastic systems where transition rates depend on the process's own empirical occupation measure, introducing a feedback that breaks Markovianity. In this talk, I will present a large deviation framework for such systems. Specifically, I will derive the level-2.5 rate functional describing the joint fluctuations of occupation and flux, obtained via an exponential tilting construction extended to the non-Markovian setting. From this, I will show how memory modifies fluctuation bounds, leading to kinetic and thermodynamic uncertainty relations that generalise those of standard Markov processes. Time permitting, I will discuss one or two examples--a minimal two-state model and a collective exploration process inspired by ant dynamics--and outline a potential link to stochastic decision processes and reinforcement learning, illustrating how feedback reshapes fluctuation-dissipation trade-offs and can accelerate first-passage dynamics.
LOCATION:MB-503
DTSTART:20251127T130000
DTEND:20251127T140000
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