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Accueil du site > Seminars > Séminaires théorie > Theory Club Tuesday November 19 at 2pm in room 412B. Rob Jack: "Large deviations and rare events in growing systems".

Theory Club Tuesday November 19 at 2pm in room 412B. Rob Jack: "Large deviations and rare events in growing systems"

Unless otherwise stated, seminars and defences take place at 11:30 in room 454A of Condorcet building.


Large deviations and rare events in growing systems

Rob Jack

Abstract: We consider dynamical fluctuations in a simple model where clusters of particles grow with time [1]. There are two types of particle (for example, red and blue) and the typical long-time behaviour may be either mixed or de-mixed. We analyse rare events where the cluster composition at long times differs from its typical value [2]. These mechanisms for these events are unusual — they are coupled to large fluctuations in the early-time behaviour of the system, which impacts the long-term behaviour because of a long-range memory effect. We explain how these can be described by combining large deviation theory with ideas of stochastic optimal control. We discuss connections with other models with long-range memory, including the elephant random walk [3].

[1] K Klymko, JP Garrahan, and S Whitelam, Phys Rev E 96, 042126 (2017) [2] RL Jack, Phys Rev E 100, 012140 (2019) [3] GM Schuetz and S Trimper, Phys Rev E 70, 054101 (2004)

Tuesday November 19 at 2pm in room 412B


Contact : Équipe séminaires / Seminar team - Published on / Publié le 6 November


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