activity
19992005
most citedCumulants in noncommutative probability II. Generalized Gaussian random variables

44 citations · 44 across the 2 of their papers we have counts for

collaborators

6 papers

hep-ex2005

A Combination of CDF and DO Limits on the Branching Ratio of B_s(d) to mu+ mu- Decays

R. Bernhard, D. Glenzinski, M. Herndon +6

We combine the results of CDF and DO searches for the rare decays B_s to mu+ mu- and B_d to mu+ mu-. The experiments use 364 pb-1 and 300 pb-1 of data respectively. The limits on t…

math.CO200244 cited

Cumulants in noncommutative probability II. Generalized Gaussian random variables

Franz Lehner

We continue the investigation of noncommutative cumulants. In this paper various characterizations of noncommutative Gaussian random variables are proved.

math.CO2001

Free cumulants and enumeration of connected partitions

Franz Lehner

A combinatorial formula is derived which expresses free cumulants in terms of classical comulants. As a corollary, we give a combinatorial interpretation of free cumulants of class…

math.CO2001

Cumulants, lattice paths, and orthogonal polynomials

Franz Lehner

A formula expressing free cumulants in terms of the Jacobi parameters of the corresponding orthogonal polynomials is derived. It combines Flajolet's theory of continued fractions a…

math.OA2000

On the computation of spectra in free probability

Franz Lehner

We use free probability techniques to compute borders of spectra of non hermitian operators in finite von Neumann algebras which arise as `free sums' of `simple' operators. To this…

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…