@article{9104,
  abstract     = {We consider the free additive convolution of two probability measures μ and ν on the real line and show that μ ⊞ v is supported on a single interval if μ and ν each has single interval support. Moreover, the density of μ ⊞ ν is proven to vanish as a square root near the edges of its support if both μ and ν have power law behavior with exponents between −1 and 1 near their edges. In particular, these results show the ubiquity of the conditions in our recent work on optimal local law at the spectral edges for addition of random matrices [5].},
  author       = {Bao, Zhigang and Erdös, László and Schnelli, Kevin},
  issn         = {15658538},
  journal      = {Journal d'Analyse Mathematique},
  pages        = {323--348},
  publisher    = {Springer Nature},
  title        = {{On the support of the free additive convolution}},
  doi          = {10.1007/s11854-020-0135-2},
  volume       = {142},
  year         = {2020},
}