Journal of Statistical Physics

, Volume 168, Issue 6, pp 1180–1190 | Cite as

Information Transmission and Criticality in the Contact Process

Article
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Abstract

In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter \(\lambda .\) We introduce a notion of sensitivity of the process to its initial condition and prove that it increases not only for values of \(\lambda < \lambda _c, \) the value of the critical parameter, but keeps increasing even after \( \lambda _c , \) before finally starting to decrease for values of \(\lambda \) sufficiently above \(\lambda _c.\) This provides a counterexample to the common belief that associates maximal information transmission to criticality.

Keywords

Contact process Criticality Information transmission Duality and coupling 

Mathematics Subject Classification

60K35 82B27 

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Gran Sasso Science InstituteL’AquilaItaly
  2. 2.Instituto de Matemática e EstatísticaUniversidade de São PauloSão PauloBrazil
  3. 3.AGM, CNRS-UMR 8088Université de Cergy-PontoiseCergy-PontoiseFrance

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