Z
Zdzislaw Burda
Researcher at AGH University of Science and Technology
Publications - 168
Citations - 3762
Zdzislaw Burda is an academic researcher from AGH University of Science and Technology. The author has contributed to research in topics: Eigenvalues and eigenvectors & Random matrix. The author has an hindex of 33, co-authored 167 publications receiving 3547 citations. Previous affiliations of Zdzislaw Burda include University of Paris & Jagiellonian University.
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Localization of the maximal entropy random walk.
TL;DR: It is shown that the stationary probability of finding a particle performing maximal entropy random walk localizes in the largest nearly spherical region of the lattice which is free of defects.
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Statistical ensemble of scale-free random graphs
TL;DR: A thorough discussion of the statistical ensemble of scale-free connected random tree graphs is presented: methods borrowed from field theory are used to define the ensemble and its properties are studied analytically and possible generalizations are discussed.
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Condensation in the Backgammon model
TL;DR: In this article, the authors analyse the properties of a simple "balls-in-boxes" model which can exhibit a phase transition between a fluid and a condensed phase, similar to the behaviour encountered in models of random geometries in one, two and four dimensions.
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Spectrum of the product of independent random Gaussian matrices
TL;DR: It is shown that the eigenvalue density of a product X=X1X2...XM of M independent NxN Gaussian random matrices in the limit N-->infinity is rotationally symmetric in the complex plane and it is conjecture that this distribution also holds for any matrices whose elements are independent centered random variables with a finite variance or even more generally for matrices which fulfill Pastur-Lindeberg's condition.
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Focusing on the fixed point of 4D simplicial gravity
TL;DR: In this article, a high-statistics study of the volume and coupling constant dependence of the cumulants of the node distribution is carried out, and it appears that the phase transition of the theory is of first order, contrary to what is generally believed.