Information Transmission and Criticality in the Contact Process

M. Cassandro; A. Galves; E. Löcherbach

doi:10.1007/s10955-017-1854-3

Information Transmission and Criticality in the Contact Process

M. Cassandro
, A. Galves
, E. Löcherbach

Gran Sasso Science Institute
Instituto de Matemática e Estatística
University of São Paulo
CY Cergy Paris Université

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1180-1190
Number of pages	11
Journal	Journal of Statistical Physics
Volume	168
Issue number	6
DOIs	https://doi.org/10.1007/s10955-017-1854-3
Publication status	Published - 1 Sept 2017
Externally published	Yes

Keywords

Contact process
Criticality
Duality and coupling
Information transmission

Access to Document

10.1007/s10955-017-1854-3

Cite this

@article{14860af4e4a84bf39cde005ce6663642,

title = "Information Transmission and Criticality in the Contact Process",

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

keywords = "Contact process, Criticality, Duality and coupling, Information transmission",

author = "M. Cassandro and A. Galves and E. L{\"o}cherbach",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC.",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/s10955-017-1854-3",

language = "English",

volume = "168",

pages = "1180--1190",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

number = "6",

}

TY - JOUR

T1 - Information Transmission and Criticality in the Contact Process

AU - Cassandro, M.

AU - Galves, A.

AU - Löcherbach, E.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter λ. We introduce a notion of sensitivity of the process to its initial condition and prove that it increases not only for values of λ< λc, the value of the critical parameter, but keeps increasing even after λc, before finally starting to decrease for values of λ sufficiently above λc. This provides a counterexample to the common belief that associates maximal information transmission to criticality.

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

KW - Contact process

KW - Criticality

KW - Duality and coupling

KW - Information transmission

UR - https://www.scopus.com/pages/publications/85027510547

U2 - 10.1007/s10955-017-1854-3

DO - 10.1007/s10955-017-1854-3

M3 - Article

AN - SCOPUS:85027510547

SN - 0022-4715

VL - 168

SP - 1180

EP - 1190

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 6

ER -

Information Transmission and Criticality in the Contact Process

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this