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Tom Spencer (IAS, Princeton)
Tuesday 14 October 2008, 14:00-15:00
Transience in a Statistical Mechanics model of Random Band Matrices
- đ¤ Speaker: Tom Spencer (IAS, Princeton)
- đ Date & Time: Tuesday 14 October 2008, 14:00 - 15:00
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
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Abstract
We describe a statistical mechanics model on a d-dimensional lattice with a hyperbolic symmetry. This model is expected to reflect spectral properties of random band matrices such as localization and diffusion. The model has a probabilistic formulation as a random walk in a highly correlated random environment. In three dimensions, we prove that this model has a “diffusive phase”. This is joint work with M. Disertori and M. Zirnbauer.
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