Numerical Evidence of Universal Scaling Laws of Moments in 2D Sinai's Billiard Systems

2000 ◽  
Vol 69 (7) ◽  
pp. 2011-2033
Author(s):  
Shinji Koga
Keyword(s):  
Scaling Laws ◽  
Universal Scaling ◽  
Numerical Evidence

Universal scaling laws and the QCD scale anomaly

1994 ◽  
Vol 242 (4-6) ◽  
pp. 355-361
Author(s):  
Georges Ripka ◽  
Martine Jaminon
Keyword(s):  
Scaling Laws ◽  
Universal Scaling

Universal scaling laws of transients

2002 ◽  
Vol 47 (3) ◽  
pp. 181-183 ◽  
Author(s):  
A. A. Koronovskii ◽  
D. I. Trubetskov ◽  
A. E. Khramov ◽  
A. E. Khramova
Keyword(s):  
Scaling Laws ◽  
Universal Scaling

scholarly journals Universal scaling across biochemical networks on Earth

2019 ◽  
Vol 5 (1) ◽  
pp. eaau0149 ◽  
Author(s):  
Hyunju Kim ◽  
Harrison B. Smith ◽  
Cole Mathis ◽  
Jason Raymond ◽  
Sara I. Walker
Keyword(s):  
Scaling Laws ◽  
Network Size ◽  
Biochemical Networks ◽  
Biochemical Network ◽  
Reaction Networks ◽  
Biochemical Reaction Networks ◽  
Global Database ◽  
Universal Scaling ◽  
Planetary Scale ◽  
Domains Of Life

The application of network science to biology has advanced our understanding of the metabolism of individual organisms and the organization of ecosystems but has scarcely been applied to life at a planetary scale. To characterize planetary-scale biochemistry, we constructed biochemical networks using a global database of 28,146 annotated genomes and metagenomes and 8658 cataloged biochemical reactions. We uncover scaling laws governing biochemical diversity and network structure shared across levels of organization from individuals to ecosystems, to the biosphere as a whole. Comparing real biochemical reaction networks to random reaction networks reveals that the observed biological scaling is not a product of chemistry alone but instead emerges due to the particular structure of selected reactions commonly participating in living processes. We show that the topology of biochemical networks for the three domains of life is quantitatively distinguishable, with >80% accuracy in predicting evolutionary domain based on biochemical network size and average topology. Together, our results point to a deeper level of organization in biochemical networks than what has been understood so far.

scholarly journals Ambiguity in language networks

2015 ◽  
Vol 32 (1) ◽  
Author(s):  
Ricard V. Solé ◽  
Luís F. Seoane
Keyword(s):  
Language Processing ◽  
Network Architecture ◽  
Essential Role ◽  
Scaling Laws ◽  
Network Growth ◽  
Computational Approaches ◽  
Universal Scaling ◽  
Different Levels ◽  
Relevant Component ◽  
Language Network

AbstractHuman language defines the most complex outcomes of evolution. The emergence of such an elaborated form of communication allowed humans to create extremely structured societies and manage symbols at different levels including, among others, semantics. All linguistic levels have to deal with an astronomic combinatorial potential that stems from the recursive nature of languages. This recursiveness is indeed a key defining trait. However, not all words are equally combined nor frequent. In breaking the symmetry between less and more often used and between less and more meaning-bearing units, universal scaling laws arise. Such laws, common to all human languages, appear on different stages from word inventories to networks of interacting words. Among these seemingly universal traits exhibited by language networks, ambiguity appears to be a specially relevant component. Ambiguity is avoided in most computational approaches to language processing, and yet it seems to be a crucial element of language architecture. Here we review the evidence both from language network architecture and from theoretical reasonings based on a least effort argument. Ambiguity is shown to play an essential role in providing a source of language efficiency, and is likely to be an inevitable byproduct of network growth.

scholarly journals Non-Drude universal scaling laws for the optical response of local Fermi liquids

2013 ◽  
Vol 87 (11) ◽  
Author(s):  
Christophe Berthod ◽  
Jernej Mravlje ◽  
Xiaoyu Deng ◽  
Rok Žitko ◽  
Dirk van der Marel ◽  
...  
Keyword(s):  
Scaling Laws ◽  
Optical Response ◽  
Fermi Liquids ◽  
Universal Scaling

Universal scaling laws for quench and thermal hydraulic quenchback in CICC coils

1995 ◽  
Vol 5 (2) ◽  
pp. 477-482 ◽  
Author(s):  
A. Shajii ◽  
J.P. Freidberg ◽  
E.A. Chaniotakis
Keyword(s):  
Scaling Laws ◽  
Universal Scaling
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