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Advances in Complex Systems (ACS)
A Multidisciplinary Journal
Accepted Papers | Online Ready | Current Issue | 2011 | 2010 | 2009 | All Volumes (1998-2011)

Volume: 14, Issue: 6(2011) pp. 829-851     DOI: 10.1142/S0219525911003463
Abstract | Full Text (PDF, 2,680KB) | References
Title: VISUALIZING RELATIONS USING THE "OBSERVABLE REPRESENTATION"
Author(s):
L. S. SCHULMAN
Physics Department, Clarkson University, Potsdam, New York 13699-5820, USA

J. P. BAGROW
Physics Department, Clarkson University, Potsdam, New York 13699-5820, USA

Center for Complex Networks Research and Department of Physics, Northeastern University, Boston, MA 02115, USA

B. GAVEAU
Laboratoire analyse et physique mathématique, 14 avenue Félix Faure, 75015 Paris, France
History:
Received 29 December 2010
Revised 24 March 2011
Abstract:
The observable representation provides an embedding of a discrete space in a low dimensional continuous space. Typically, the discrete space is a model of a complex system. This graphical representation is known to highlight significant properties of the original space and can serendipitously reveal unanticipated relationships. We report on the current status of this technique and give examples of its applications and rationale.
Keywords:
Embeddings; stochastic processes; observable representation

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