---
res:
  bibo_abstract:
  - We extend the free convolution of Brown measures of R-diagonal elements introduced
    by Kösters and Tikhomirov [ 28] to fractional powers. We then show how this fractional
    free convolution arises naturally when studying the roots of random polynomials
    with independent coefficients under repeated differentiation. When the proportion
    of derivatives to the degree approaches one, we establish central limit theorem-type
    behavior and discuss stable distributions.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Andrew J
      foaf_name: Campbell, Andrew J
      foaf_surname: Campbell
      foaf_workInfoHomepage: http://www.librecat.org/personId=582b06a9-1f1c-11ee-b076-82ffce00dde4
  - foaf_Person:
      foaf_givenName: Sean
      foaf_name: O'Rourke, Sean
      foaf_surname: O'Rourke
  - foaf_Person:
      foaf_givenName: David T
      foaf_name: Renfrew, David T
      foaf_surname: Renfrew
      foaf_workInfoHomepage: http://www.librecat.org/personId=4845BF6A-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0003-3493-121X
  bibo_doi: 10.1093/imrn/rnae062
  bibo_issue: '13'
  bibo_volume: 2024
  dct_date: 2024^xs_gYear
  dct_identifier:
  - UT:001198019500001
  dct_isPartOf:
  - http://id.crossref.org/issn/1073-7928
  - http://id.crossref.org/issn/1687-0247
  dct_language: eng
  dct_publisher: Oxford University Press@
  dct_title: The fractional free convolution of R-diagonal elements and random polynomials
    under repeated differentiation@
...