191 citations · 1.9k across the 74 of their papers we have counts for
5 papers · 1 filter
Network Transitivity and Matrix Models
Z. Burda, J. Jurkiewicz, A. Krzywicki
This paper is a step towards a systematic theory of the transitivity (clustering) phenomenon in random networks. A static framework is used, with adjacency matrix playing the role…
Exotic trees
Z. Burda, J. Erdmann, B. Petersson +1
We discuss the scaling properties of free branched polymers. The scaling behaviour of the model is classified by the Hausdorff dimensions for the internal geometry: d_L and d_H, an…
Free Levy Matrices and Financial Correlations
Z. Burda, J. Jurkiewicz, M. A. Nowak +2
We consider a covariance matrix composed of asymmetric and free random Levy matrices. We use the results of free random variables to derive an algebraic equation for the resolvent…
Levy Matrices and Financial Covariances
Z. Burda, J. Jurkiewicz, M. A. Nowak +2
In a given market, financial covariances capture the intra-stock correlations and can be used to address statistically the bulk nature of the market as a complex system. We provide…
Condensation in the Backgammon model
P. Bialas, Z. Burda, D. Johnston
We analyse the properties of a very simple ``balls-in-boxes'' model which can exhibit a phase transition between a fluid and a condensed phase, similar to behaviour encountered in…