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SUMMARY:Large deviations in non-Markov stochastic feedback - Francesco Cog
 hi (U Nottingham)
DTSTART:20250603T120000Z
DTEND:20250603T130000Z
UID:TALK227536@talks.cam.ac.uk
CONTACT:Sarah Loos
DESCRIPTION:Self-interacting diffusions provide a tractable framework to s
 tudy stochastic dynamics with non-Markov feedback. I will begin by present
 ing results on current fluctuations in such systems on a ring\, where non-
 Markovian interactions lead to a phase transition from self-repelling to s
 elf-attracting behaviour. Using an upper bound of level 2.5 large deviatio
 ns\, I estimate rare current fluctuations and identify the onset of locali
 sation. I will then turn to escape dynamics in a feedback-modified Ornstei
 n–Uhlenbeck process. Here\, time-averaged feedback reshapes the most pro
 bable escape paths by lowering the effective energy barrier. Together\, th
 ese results illustrate how memory and feedback fundamentally alter rare ev
 ent statistics in stochastic systems\, potentially offering new handles fo
 r control.
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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