Corpus ID: 3782651

Traffic distributions and independence: permutation invariant random matrices and the three notions of independence

@article{Male2011TrafficDA,
  title={Traffic distributions and independence: permutation invariant random matrices and the three notions of independence},
  author={Camille Male},
  journal={arXiv: Probability},
  year={2011}
}
  • Camille Male
  • Published 2011
  • Mathematics, Computer Science
  • arXiv: Probability
  • Voiculescu's notion of asymptotic free independence is known for a large class of random matrices including independent unitary invariant matrices. This notion is extended for independent random matrices invariant in law by conjugation by permutation matrices. This fact leads naturally to an extension of free probability, formalized under the notions of traffic probability. We first establish this construction for random matrices. We define the traffic distribution of random matrices, which is… CONTINUE READING

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