On the flexibility of complex systems
Bianconi, Ginestra and Mulet, R. (2006) On the flexibility of complex systems. Working Paper. Coventry: Warwick Business School, Financial Econometrics Research Centre. (Working papers (Warwick Business School. Financial Econometrics Research Centre)).
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Many complex systems satisfy a set of constraints on their degrees of freedom, and at the same time, they are able to work and adapt to different conditions. Here, we describe the emergence of this ability in a simplified model in which the system must satisfy a set of random dense linear constraints. By statistical mechanics techniques, we describe the transition between a non-flexible system in which the constraints are not fully satisfied, to a flexible system, in which the constraints can be satisfied in many ways. This phase transition is described in terms of the appearance of zeros modes in the statistical mechanics problem.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||Q Science > QA Mathematics
H Social Sciences > HA Statistics
|Divisions:||Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
|Library of Congress Subject Headings (LCSH):||Statistical mechanics, Linear models (Statistics), Phase transformations (Statistical physics), Mathematical statistics|
|Series Name:||Working papers (Warwick Business School. Financial Econometrics Research Centre)|
|Publisher:||Warwick Business School, Financial Econometrics Research Centre|
|Place of Publication:||Coventry|
|Date:||20 June 2006|
|Number of Pages:||10|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
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