Gaussian Fluctuations in the 4D Anderson model
Recent Trends in Stochastic Partial Differential Equations November 17, 2025 - November 21, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Gaussian Fluctuations in the 4D Anderson model
We perform a perturbative analysis of the scaling invariant 4D Anderson model, with the aim of establishing Gaussian fluctuations in the transition from delocalised to localised states on finite volume. We prove Gaussian fluctuations in a weak coupling regime, in a perturbative sense, as well as the appearance of a phase transition reminiscent of the 2D stochastic heat flow. Joint work with Simon Gabriel.
Gaussian Fluctuations in the 4D Anderson model
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