191 citations · 1.9k across the 74 of their papers we have counts for
5 papers · 1 filter
Statistical mechanics of random graphs
Zdzislaw Burda, Jerzy Jurkiewicz, Andre Krzywicki
We discuss various aspects of the statistical formulation of the theory of random graphs, with emphasis on results obtained in a series of our recent publications.
Signal and Noise in Financial Correlation Matrices
Zdzislaw Burda, Jerzy Jurkiewicz
Using Random Matrix Theory one can derive exact relations between the eigenvalue spectrum of the covariance matrix and the eigenvalue spectrum of its estimator (experimentally meas…
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…
From 4D Reduced SYM Integrals to Branched-Polymers
Zdzislaw Burda, Bengt Petersson, Marc Wattenberg
We derive analytically one-loop corrections to the effective Polyakov-line operator in the branched-polymer approximation of the reduced four-dimensional supersymmetric Yang-Mills…
Fermions in 2D Lorentzian Quantum Gravity
L. Bogacz, Z. Burda, J. Jurkiewicz
We implement Wilson fermions on 2D Lorentzian triangulation and determine the spectrum of the Dirac-Wilson operator. We compare it to the spectrum of the corresponding operator in…