%0 Journal Article %1 marsili-polya %A Marsili, M. %A Valleriani, A. %D 1998 %J Eur. Phys. J. B %K urns polya statistical model physics soc %P 417-420 %T Self organization of interacting polya urns %V 3 %X We introduce a simple model which shows non-trivial self organized critical properties. The model describes a system of interacting units, modelled by Polya urns, subject to perturbations and which occasionally break down. Three equivalent formulations - stochastic, quenched and deterministic - are shown to reproduce the same dynamics. Among the novel features of the model are a non-homogeneous stationary state, the presence of a non-stationary critical phase and non-trivial exponents even in mean field. We discuss simple interpretations in term of biological evolution and earthquake dynamics and we report on extensive numerical simulations in dimensions d=1,2 as well as in the random neighbors limit.

@article{marsili-polya, abstract = {We introduce a simple model which shows non-trivial self organized critical properties. The model describes a system of interacting units, modelled by Polya urns, subject to perturbations and which occasionally break down. Three equivalent formulations - stochastic, quenched and deterministic - are shown to reproduce the same dynamics. Among the novel features of the model are a non-homogeneous stationary state, the presence of a non-stationary critical phase and non-trivial exponents even in mean field. We discuss simple interpretations in term of biological evolution and earthquake dynamics and we report on extensive numerical simulations in dimensions d=1,2 as well as in the random neighbors limit.}, added-at = {2006-11-10T15:23:17.000+0100}, author = {Marsili, M. and Valleriani, A.}, biburl = {https://www.bibsonomy.org/bibtex/2d745ef299afb2901be71685a08dbcacc/andreab}, description = {QUALCOSA}, interhash = {e2f32c8e7dc8e0641e0f4fced476fc4b}, intrahash = {d745ef299afb2901be71685a08dbcacc}, journal = {Eur. Phys. J. B}, keywords = {urns polya statistical model physics soc}, pages = {417-420}, timestamp = {2006-11-10T15:23:17.000+0100}, title = {Self organization of interacting polya urns}, volume = 3, year = 1998 }