391 citations · 2.4k across the 54 of their papers we have counts for
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Roughness distributions for 1/f^alpha signals
T. Antal, M. Droz, G. Gyorgyi +1
The probability density function (PDF) of the roughness, i.e., of the temporal variance, of 1/f^alpha noise signals is studied. Our starting point is the generalization of the mode…
Urn model of separation of sand
Adam Lipowski, Michel Droz
We introduce an urn model which describes spatial separation of sand. In this dynamical model, in a certain range of parameters spontaneous symmetry breaking takes place and equipa…
1/f Noise and Extreme Value Statistics
T. Antal, M. Droz, G. Gyorgyi +1
We study the finite-size scaling of the roughness of signals in systems displaying Gaussian 1/f power spectra. It is found that one of the extreme value distributions (Gumbel distr…
On the critical behavior of a lattice prey-predator model
Tibor Antal, Michel Droz, Adam Lipowski +1
The critical properties of a simple prey-predator model are revisited. For some values of the control parameters, the model exhibits a line of directed percolation like transitions…
Criticality of natural absorbing states
A. Lipowski, M. Droz
We study a recently introduced ladder model which undergoes a transition between an active and an infinitely degenerate absorbing phase. In some cases the critical behaviour of the…