191 citations · 1.9k across the 74 of their papers we have counts for
74 papers
Rényi Entropy of Zeta-Urns
Piotr Bialas, Zdzislaw Burda, Desmond A. Johnston
We calculate analytically the Renyi entropy for the zeta-urn model with a Gibbs measure definition of the micro-state probabilities. This allows us to obtain the singularities in t…
On Random Allocation Models in the Thermodynamic Limit
Piotr Bialas, Zdzislaw Burda, Desmond A. Johnston
We discuss the phase transition and critical exponents in the random allocation model (urn model) for different statistical ensembles. We provide a unified presentation of the stat…
Perfect cycles in the synchronous Heider dynamics in complete network
Zdzislaw Burda, Malgorzata J. Krawczyk, Krzysztof Kulakowski
We discuss a cellular automaton simulating the process of reaching Heider balance in a fully connected network. The dynamics of the automaton is defined by a deterministic, synchro…
Cleaning large-dimensional covariance matrices for correlated samples
Zdzislaw Burda, Andrzej Jarosz
We elucidate the problem of estimating large-dimensional covariance matrices in the presence of correlations between samples. To this end, we generalize the Marcenko-Pastur equatio…
Wealth rheology
Zdzislaw Burda, Malgorzata J. Krawczyk, Krzysztof Malarz +1
We study wealth rank correlations in a simple model of macro-economy. To quantify rank correlations between wealth rankings at different times, we use Kendall's and Spearman's…
Towards the Heider balance -- a cellular automaton with a global neighborhood
Malgorzata J. Krawczyk, Krzysztof Kulakowski, Zdzislaw Burda
We study a simple deterministic map that leads a fully connected network to Heider balance. The map is realized by an algorithm that updates all links synchronously in a way depend…