{"ec_funded":1,"citation":{"mla":"Alt, Johannes. “The Local Semicircle Law for Random Matrices with a Fourfold Symmetry.” <i>Journal of Mathematical Physics</i>, vol. 56, no. 10, 103301, American Institute of Physics, 2015, doi:<a href=\"https://doi.org/10.1063/1.4932606\">10.1063/1.4932606</a>.","ieee":"J. Alt, “The local semicircle law for random matrices with a fourfold symmetry,” <i>Journal of Mathematical Physics</i>, vol. 56, no. 10. American Institute of Physics, 2015.","chicago":"Alt, Johannes. “The Local Semicircle Law for Random Matrices with a Fourfold Symmetry.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2015. <a href=\"https://doi.org/10.1063/1.4932606\">https://doi.org/10.1063/1.4932606</a>.","ista":"Alt J. 2015. The local semicircle law for random matrices with a fourfold symmetry. Journal of Mathematical Physics. 56(10), 103301.","apa":"Alt, J. (2015). The local semicircle law for random matrices with a fourfold symmetry. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4932606\">https://doi.org/10.1063/1.4932606</a>","ama":"Alt J. The local semicircle law for random matrices with a fourfold symmetry. <i>Journal of Mathematical Physics</i>. 2015;56(10). doi:<a href=\"https://doi.org/10.1063/1.4932606\">10.1063/1.4932606</a>","short":"J. Alt, Journal of Mathematical Physics 56 (2015)."},"language":[{"iso":"eng"}],"_id":"1677","article_number":"103301","doi":"10.1063/1.4932606","publication":"Journal of Mathematical Physics","author":[{"full_name":"Alt, Johannes","id":"36D3D8B6-F248-11E8-B48F-1D18A9856A87","last_name":"Alt","first_name":"Johannes"}],"project":[{"call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems"}],"intvolume":"        56","volume":56,"publist_id":"5472","year":"2015","date_published":"2015-10-09T00:00:00Z","publication_status":"published","issue":"10","department":[{"_id":"LaEr"}],"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1506.04683"}],"abstract":[{"text":"We consider real symmetric and complex Hermitian random matrices with the additional symmetry hxy = hN-y,N-x. The matrix elements are independent (up to the fourfold symmetry) and not necessarily identically distributed. This ensemble naturally arises as the Fourier transform of a Gaussian orthogonal ensemble. Italso occurs as the flip matrix model - an approximation of the two-dimensional Anderson model at small disorder. We show that the density of states converges to the Wigner semicircle law despite the new symmetry type. We also prove the local version of the semicircle law on the optimal scale.","lang":"eng"}],"type":"journal_article","day":"09","month":"10","date_updated":"2023-09-07T12:38:08Z","quality_controlled":"1","title":"The local semicircle law for random matrices with a fourfold symmetry","related_material":{"record":[{"relation":"dissertation_contains","id":"149","status":"public"}]},"status":"public","oa":1,"oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:53:25Z","publisher":"American Institute of Physics","scopus_import":1}