Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Chaos An Interdiscip...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Chaos An Interdisciplinary Journal of Nonlinear Science
Article
Data sources: UnpayWall
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
arXiv.org e-Print Archive
Preprint . 2011
Data sources: arXiv.org e-Print Archive
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2011
Data sources: zbMATH Open
Chaos An Interdisciplinary Journal of Nonlinear Science
Article . 2011 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2011
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
Chaos An Interdisciplinary Journal of Nonlinear Science
Article . 2012
Data sources: Europe PubMed Central
https://dx.doi.org/10.1063/1.3...
Other literature type
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.1063/1.3...
Article
Data sources: Microsoft Academic Graph
 View all 5 versions
Claim

Natural complexity, computational complexity and depth

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2011Embargo end date: 01 Jan 2011 United States English Publisher:AIP PublishingJournal:Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 21 (issn: 1054-1500, eissn: 1089-7682, Copyright policy )Funded by:NSF | Computational Studies of ...
Authors: Machta, Jonathan;

doi: 10.1063/1.3634009 , 10.48550/arxiv.1111.2845

pmid: 21974674

arXiv: 1111.2845

Natural complexity, computational complexity and depth

Abstract

Depth is a complexity measure for natural systems of the kind studied in statistical physics and is defined in terms of computational complexity. Depth quantifies the length of the shortest parallel computation required to construct a typical system state or history starting from simple initial conditions. The properties of depth are discussed and it is compared with other complexity measures. Depth can only be large for systems with embedded computation.

Country
United States
Related Organizations
Keywords

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, Statistical Mechanics (cond-mat.stat-mech), Physics, FOS: Physical sciences, Popular Physics (physics.pop-ph), Physics - Popular Physics, Adaptation and Self-Organizing Systems (nlin.AO), Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Adaptation and Self-Organizing Systems

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 10
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Average
Green
bronze