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EPSRC Reference: GR/M10823/01
Title: NECESSARY CONDITIONS FOR SELF-ORGANIZED CRITICALITY
Principal Investigator: Lise, Dr S
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Department: Mathematics
Organisation: Imperial College London
Scheme: Postdoc Res Fellowship PreFEC
Starts: 01 January 1999 Ends: 31 December 2001 Value (£): 103,235
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Summary on Grant Application Form
Self-Organised Criticality (SOC) has been proposed as a possible explanation of the widespread occurrence of fractals and 1/f-noise in natural systems. Several models have been introduced which show SOC behaviour., but a clear understanding of what are the foundamental mechanisms lending a model to be self-organised critical is still missing. In this project we intend to investigate the necessary conditions for a model to exhibit SOC behaviour. To this end the implicit assumptions in original models need to be subjected to intense scrutiny. The project involves extensive computer simulations, dynamical re-normalisation group analysis of certain stochastic differential equations and exact solutions of models defined on deterministic fractal lattices.
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Organisation Website: http://www.imperial.ac.uk