31 citations · 121 across the 10 of their papers we have counts for
11 papers · 1 filter
Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices (The Extended Version)
Z. Burda, A. Jarosz, G. Livan +2
We consider a product of an arbitrary number of independent rectangular Gaussian random matrices. We derive the mean densities of its eigenvalues and singular values in the thermod…
Power laws in zero-range processes on random networks
B. Waclaw, Z. Burda, W. Janke
We study statistical properties of a zero-range process (ZRP) on random networks. We derive an analytic expression for the distribution of particles (also called node occupation di…
Free zero-range processes on networks
L. Bogacz, Z. Burda, W. Janke +1
A free zero-range process (FRZP) is a simple stochastic process describing the dynamics of a gas of particles hopping between neighboring nodes of a network. We discuss three diffe…
Condensation in zero-range processes on inhomogeneous networks
B. Waclaw, L. Bogacz, Z. Burda +1
We investigate the role of inhomogeneities in zero-range processes in condensation dynamics.We consider the dynamics of balls hopping between nodes of a network, and find that the…
Balls-in-boxes condensation on networks
L. Bogacz, Z. Burda, W. Janke +1
We discuss two different regimes of condensate formation in zero-range processes on networks: on a q-regular network, where the condensate is formed as a result of a spontaneous sy…
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…