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Anomalous super-diffusion from interactions

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SSD - Stochastic systems for anomalous diffusion

First, I will present physical evidence of anomalous super-diffusion (that is, faster-than-normal diffusion) in low-dimensional systems of interacting particles and a non-rigorous (but very instructive and inspiring) scaling argument from the physics literature of the 1970-ies which provides a precise and convincing “big-picture”. Second, I will present some model-examples (self-interacting walks and diffusions with long memory, random walks and diffusions in random media) where the predictions of the scaling argument can be either rigorously established, or approximated (by super-diffusive bounds) in a mathematically rigorous way. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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