University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Fluctuations in stochastic systems with memory

Fluctuations in stochastic systems with memory

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I will give a gentle introduction to some recent work on the effects of long-range temporal correlations in stochastic particle systems, focusing particularly on fluctuations about the typical behaviour. Specifically, in the first part of the talk, I will discuss how long-range memory dependence can modify the large deviation principle describing the probability of rare currents and lead, for example, to superdiffusive behaviour. In the second part of the talk, I will describe a more interdisciplinary project incorporating the psychological “peak-end” heuristic for human memory into a simple discrete choice model from economics. Along the way, I will attempt to indicate connections between different approaches, other possible applications, and open questions.

This talk is part of the Applied Mathematics Seminar Series series.

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