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math.OA1999
Computation of some examples of Brown's spectral measure in free probability
Philippe Biane, Franz Lehner
We use free probability techniques for computing spectra and Brown measures of some non hermitian operators in finite von Neumann algebras. Examples include u_n+u_oo where u_n and…
math.PR1999
Probability laws related to the Jacobi theta and Riemann zeta function and Brownian excursions
P. Biane, J. Pitman, M. Yor
This paper reviews known results which connect Riemann's integral representations of his zeta function, involving Jacobi's theta function and its derivatives, to some particular pr…