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Beyond the Death of Linear Response: 1/f Optimal Information Transport

Gerardo Aquino, Mauro Bologna, Paolo Grigolini, and Bruce J. West
Phys. Rev. Lett. 105, 040601 – Published 21 July 2010; Erratum Phys. Rev. Lett. 105, 069901 (2010)
Physics logo See Synopsis: A rosy outlook on pink noise

Abstract

Nonergodic renewal processes have recently been shown by several authors to be insensitive to periodic perturbations, thereby apparently sanctioning the death of linear response, a building block of nonequilibrium statistical physics. We show that it is possible to go beyond the “death of linear response” and establish a permanent correlation between an external stimulus and the response of a complex network generating nonergodic renewal processes, by taking as stimulus a similar nonergodic process. The ideal condition of 1/f noise corresponds to a singularity that is expected to be relevant in several experimental conditions.

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  • Received 13 July 2009
  • Publisher error corrected 26 July 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.040601

©2010 American Physical Society

Corrections

26 July 2010

Erratum

Publisher’s Note: Beyond the Death of Linear Response: 1/f Optimal Information Transport [Phys. Rev. Lett. 105, 040601 (2010)]

Gerardo Aquino, Mauro Bologna, Paolo Grigolini, and Bruce J. West
Phys. Rev. Lett. 105, 069901 (2010)

Synopsis

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A rosy outlook on pink noise

Published 6 August 2010

The reasons why complex systems like neuronal networks process some signals better than others might be buried in the noise.

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Authors & Affiliations

Gerardo Aquino1,2,*, Mauro Bologna3,4, Paolo Grigolini3, and Bruce J. West5

  • 1Max-Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany
  • 2Division for Molecular Biosciences, Imperial College London, SW7 2AZ, London, United Kingdom
  • 3Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203, USA
  • 4Instituto de Alta Investigación, Universidad de Tarapacá-Casilla, 6-D Arica, Chile
  • 5Physics Department, Duke University, Durham, North Carolina 27708, USA

  • *g.aquino@imperial.ac.uk

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Issue

Vol. 105, Iss. 4 — 23 July 2010

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