Self organization of interacting polya urns

Self Organization of Interacting Polya Urns

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 sta...

Self Organization of Interacting Polya

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 sta...

Synchronization and fluctuation theorems for interacting Friedman urns

B - urns 1

The fringe of a B-tree with parameter m is considered as a particular Pólya urn with m colors. More precisely, the asymptotic behaviour of this fringe, when the number of stored keys tends to infinity, is studied through the composition vector of the fringe nodes. We establish its typical behaviour together with the fluctuations around it. The well known phase transition in Pólya urns has the f...

Hierarchical organization versus self-organization

In this paper we try to define the difference between hierarchical organization and selforganization. Organization is defined as a structure with a function. So we can define the difference between hierarchical organization and self-organization both on the structure as on the function. In the next two chapters these two definitions are given. For the structure we will use some existing definit...