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Proceedings Paper

Studies in the physics of evolution: creation, formation, destruction
Author(s): Rudolf Hanel; Peter Klimek; Stefan Thurner
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Paper Abstract

The concept of (auto)catalytic systems has become a cornerstone in understanding evolutionary processes in various fields. The common ground is the observation that for the production of new species/goods/ideas/elements etc. the pre-existence of specific other elements is a necessary condition. In previous work some of us showed that the dynamics of the catalytic network equation can be understood in terms of topological recurrence relations paving a path towards the analytic tractability of notoriously high dimensional evolution equations. We apply this philosophy to studies in socio-physics, bio-diversity and massive events of creation and destruction in technological and biological networks. Cascading events, triggered by small exogenous fluctuations, lead to dynamics strongly resembling the qualitative picture of Schumpeterian economic evolution. Further we show that this new methodology allows to mathematically treat a variant of the threshold voter-model of opinion formation on networks. For fixed topology we find distinct phases of mixed opinions and consensus.

Paper Details

Date Published: 11 January 2008
PDF: 11 pages
Proc. SPIE 6802, Complex Systems II, 680206 (11 January 2008); doi: 10.1117/12.771146
Show Author Affiliations
Rudolf Hanel, Medical Univ. of Vienna (Austria)
Peter Klimek, Medical Univ. of Vienna (Austria)
Stefan Thurner, Medical Univ. of Vienna (Austria)
Santa Fe Institute (United States)

Published in SPIE Proceedings Vol. 6802:
Complex Systems II
Derek Abbott; Tomaso Aste; Murray Batchelor; Robert Dewar; Tiziana Di Matteo; Tony Guttmann, Editor(s)

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