On the function Tr exp ( A + itB ) 1

نویسنده

  • Mark Fannes
چکیده

We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace , that the function t 2 R 7! (exp(a + itb)) is positive de nite. This shows that the BessisMoussa-Vilani conjecture holds for large random matrices in an asymptotic sense.

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تاریخ انتشار 2005