Modelling Selforganization and Innovation Processes in Networks

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dc.creatorHartmann-Sonntag, Ingrid
dc.creatorScharnhorst, Andrea
dc.creatorEbeling, Werner
dc.date2004-06-18
dc.date.accessioned2026-07-07T02:58:42Z
dc.date.available2026-07-07T02:58:42Z
dc.descriptionIn this paper we develop a theory to describe innovation processes in a network of interacting units. We introduce a stochastic picture that allows for the clarification of the role of fluctuations for the survival of innovations in such a non-linear system. We refer to the theory of complex networks and introduce the notion of sensitive networks. Sensitive networks are networks in which the introduction or the removal of a node/vertex dramatically changes the dynamic structure of the system. As an application we consider interaction networks of firms and technologies and describe technological innovation as a specific dynamic process. Random graph theory, percolation, master equation formalism and the theory of birth and death processes are the mathematical instruments used in this paper.
dc.description59 pages LaTeX, 15 figures (in part LaTeX generated), Springer LNP style
dc.identifierhttps://arxiv.org/abs/cond-mat/0406425
dc.identifierhttp://arxiv.org/abs/cond-mat/0406425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24207
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPhysics and Society
dc.subjectPopulations and Evolution
dc.titleModelling Selforganization and Innovation Processes in Networks
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