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Journal articles
UNIVERSALITY IN SEVERAL-MATRIX MODELS VIA APPROXIMATE TRANSPORT MAPS
Abstract : We construct approximate transport maps for perturbative several-matrix models. As a consequence, we deduce that local statistics have the same asymptotic as in the case of independent GUE or GOE matrices (i.e., they are given by the sine-kernel in the bulk and the Tracy-Widom distribution at the edge), and we show averaged energy universality (i.e., universality for averages of m-points correlation functions around some energy level E in the bulk). As a corollary, these results yield universality for self-adjoint polynomials in several independent GUE or GOE matrices which are close to the identity.
Cited literature [47 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01405141
Contributor : Alice Guionnet <>
Submitted on : Tuesday, November 29, 2016 - 3:35:17 PM
Last modification on : Tuesday, November 19, 2019 - 12:00:08 PM
Long-term archiving on: : Monday, March 27, 2017 - 8:33:08 AM
Contributor : Alice Guionnet <>
Submitted on : Tuesday, November 29, 2016 - 3:35:17 PM
Last modification on : Tuesday, November 19, 2019 - 12:00:08 PM
Long-term archiving on: : Monday, March 27, 2017 - 8:33:08 AM
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