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math-ph2009★ 5 cited
Zooming in on local level statistics by supersymmetric extension of free probability
S. Mandt, M. R. Zirnbauer
We consider unitary ensembles of Hermitian NxN matrices H with a confining potential NV where V is analytic and uniformly convex. From work by Zinn-Justin, Collins, and Guionnet an…
math-ph2009★ 65 cited
Quasi-diffusion in a 3D Supersymmetric Hyperbolic Sigma Model
Margherita Disertori, Tom Spencer, Martin R. Zirnbauer
We study a lattice field model which qualitatively reflects the phenomenon of Anderson localization and delocalization for real symmetric band matrices. In this statistical mechani…