---
res:
  bibo_abstract:
  - We prove that the system of subordination equations, defining the free additive
    convolution of two probability measures, is stable away from the edges of the
    support and blow-up singularities by showing that the recent smoothness condition
    of Kargin is always satisfied. As an application, we consider the local spectral
    statistics of the random matrix ensemble A+UBU⁎A+UBU⁎, where U is a Haar distributed
    random unitary or orthogonal matrix, and A and B   are deterministic matrices.
    In the bulk regime, we prove that the empirical spectral distribution of A+UBU⁎A+UBU⁎
    concentrates around the free additive convolution of the spectral distributions
    of A and B   on scales down to N−2/3N−2/3.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Zhigang
      foaf_name: Bao, Zhigang
      foaf_surname: Bao
      foaf_workInfoHomepage: http://www.librecat.org/personId=442E6A6C-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0003-3036-1475
  - foaf_Person:
      foaf_givenName: László
      foaf_name: Erdös, László
      foaf_surname: Erdös
      foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5366-9603
  - foaf_Person:
      foaf_givenName: Kevin
      foaf_name: Schnelli, Kevin
      foaf_surname: Schnelli
      foaf_workInfoHomepage: http://www.librecat.org/personId=434AD0AE-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0003-0954-3231
  bibo_doi: 10.1016/j.jfa.2016.04.006
  bibo_issue: '3'
  bibo_volume: 271
  dct_date: 2016^xs_gYear
  dct_identifier:
  - UT:000378013400009
  dct_language: eng
  dct_publisher: Academic Press@
  dct_title: Local stability of the free additive convolution@
...
