activity
20102015
most citedNew spectral relations between products and powers of isotropic random matrices

30 citations · 78 across the 5 of their papers we have counts for

collaborators

6 papers

math-ph2015★ 5 cited

Quaternionic R transform and non-hermitian random matrices

Zdzislaw Burda, Artur Swiech

Using the Cayley-Dickson construction we rephrase and review the non-hermitian diagrammatic formalism [R. A. Janik, M. A. Nowak, G. Papp and I. Zahed, Nucl.Phys. B ,…

hep-ex2013★ 5 cited

Exclusive Central pi+pi- production in CDF

Michael Albrow, Artur Swiech, Maria Zurek

Using the Collider Detector at Fermilab, CDF, we have measured exclusive pi+pi- production at sqrt(s) = 900 GeV and 1960 GeV. The pi+pi- pair is central, |y| < 1.0, and there are n…

cond-mat.stat-mech2013★ 10 cited

Commutative law for products of infinitely large isotropic random matrices

Z. Burda, G. Livan, A. Swiech

Ensembles of isotropic random matrices are defined by the invariance of the probability measure under the left (and right) multiplication by an arbitrary unitary matrix. We show th…

cond-mat.stat-mech2012★ 30 cited

New spectral relations between products and powers of isotropic random matrices

Z. Burda, M. A. Nowak, A. Swiech

We show that the limiting eigenvalue density of the product of n identically distributed random matrices from an isotropic unitary ensemble (IUE) is equal to the eigenvalue density…

cond-mat.stat-mech2011★ 28 cited

Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices (The Extended Version)

Z. Burda, A. Jarosz, G. Livan +2

We consider a product of an arbitrary number of independent rectangular Gaussian random matrices. We derive the mean densities of its eigenvalues and singular values in the thermod…

cond-mat.stat-mech2010

Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices

Z. Burda, A. Jarosz, G. Livan +2

We derive exact analytic expressions for the distributions of eigenvalues and singular values for the product of an arbitrary number of independent rectangular Gaussian random matr…