By Camille Male
The properties of the limiting non commutative distribution of random matrices can be usually understood thanks to the symmetry of the model, e. g. Voiculescu's asymptotic free independence occurs for random matrices invariant in law by conjugation by unitary matrices. This talk presents an approach for the study of random matrices invariant in law by conjugation by permutation matrices, the theory of traffics. A traffic is a non commutative random variable in a space with more structure than a general non commutative probability space, so that the notion of traffic distribution is richer than the notion of non commutative distribution. It comes with a notion of independence which is able to encode the different notions of non commutative independence.
By Anthony Leverrier
By Zbigniew Puchała
By Benoit Collins
By Satya Majumdar
By Motohisa Fukuda
By Anand Natarajan
By Nilanjana Datta
By Daniel Stilck Franca
By Ke Li
By Radosław Adamczak
By Madalin Guta
By Antonio Acín
By Ashley Montanaro
By Ping Zhong
By James Mingo
By Camille Male
By Clément Delcamp
By Clément Delcamp
By Claudio Dappiaggi
