Information Transmission and Criticality in the Contact Process
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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.
KeywordsContact process Criticality Information transmission Duality and coupling
Mathematics Subject Classification60K35 82B27
- 3.Beggs, J.M.J.M., Plenz, D.D.: Neuronal avalanches in neocortical circuits. J. Neurosci. 23, 11167–11177 (2003)Google Scholar