191 citations · 1.9k across the 74 of their papers we have counts for
6 papers · 1 filter
From simple to complex networks: inherent structures, barriers and valleys in the context of spin glasses
Z. Burda, A. Krzywicki, O. C. Martin +1
Given discrete degrees of freedom (spins) on a graph interacting via an energy function, what can be said about the energy local minima and associated inherent structures? Using th…
Eigenvalue density of empirical covariance matrix for correlated samples
Z. Burda, J. Jurkiewicz, B. Waclaw
We describe a method to determine the eigenvalue density of empirical covariance matrix in the presence of correlations between samples. This is a straightforward generalization of…
Correlated Wishart Matrices and Critical Horizons
Zdzislaw Burda, Andrzej Goerlich, Jerzy Jurkiewicz +1
We discuss a practical method to determine the eigenvalue spectrum of the empirical correlation matrix. The method is based on the analysis of the behavior of a conformal map at a…
A program generating homogeneous random graphs with given weights
L. Bogacz, Z. Burda, W. Janke +1
We present a program package which generates homogeneous random graphs with probabilities prescribed by the user. The statistical weight of a labeled graph is given in the form…
Causal and homogeneous networks
P. Bialas, Z. Burda, B. Waclaw
Growing networks have a causal structure. We show that the causality strongly influences the scaling and geometrical properties of the network. In particular the average distance b…
Homogeneous complex networks
Leszek Bogacz, Zdzislaw Burda, Bartlomiej Waclaw
We discuss various ensembles of homogeneous complex networks and a Monte-Carlo method of generating graphs from these ensembles. The method is quite general and can be applied to s…