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Feb 10, 2020 at 12:52 comment added valle I also think that it's not the same model. Please note I have updated the question, simplifying it.
Feb 8, 2020 at 20:56 comment added ofer zeitouni This is not quite the same model. The model here seems closer to the Wegner orbital model, but again not quite because of the identity on the diagonal blocks. There is some work of Peled, Shenker, Shamis and Sodin on the latter, and also work of Scherbina^2 using supersymmetry methods arxiv.org/abs/1802.03813. But I stress this is not exactly the same model.
Feb 8, 2020 at 20:01 history answered Carlo Beenakker CC BY-SA 4.0