112 citations · 380 across the 16 of their papers we have counts for
16 papers
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…
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…
Distribution of essential interactions in model gene regulatory networks under mutation-selection balance
Z. Burda, A. Krzywicki, O. C. Martin +1
Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. They also tend to have broad distributions for the o…
Semiclassical Geometry of 4D Reduced Supersymmetric Yang-Mills Integrals
Zdzislaw Burda, Bengt Petersson, Marc Wattenberg
We investigate semiclassical properties of space-time geometry of the low energy limit of reduced four dimensional supersymmetric Yang-Mills integrals using Monte-Carlo simulations…
Wealth Condensation in Pareto Macro-Economies
Z. Burda, D. Johnston, J. Jurkiewicz +4
We discuss a Pareto macro-economy (a) in a closed system with fixed total wealth and (b) in an open system with average mean wealth and compare our results to a similar analysis in…
Using a Fermionic Ensemble of Systems to Determine Excited States
Z. Burda, Pawel Sawicki
We discuss a new numerical method for the determination of excited states of a quantum system using a generalization of the Feynman-Kac formula. The method relies on introducing an…