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Fractal Dimension of Dielectric Breakdown
It is shown that the simplest nontrivial stochastic model for dielectric breakdown naturally leads to fractal structures for the discharge pattern. Planar discharges are studied in detail and theExpand
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A New Metrics for Countries' Fitness and Products' Complexity
TLDR
We develop a new statistical approach based on coupled non-linear maps, whose fixed point defines a new metrics for the country Fitness and product Complexity. Expand
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Memorie della Società Astronomica Italiana Supplementi - Vol. 1 Computational Astrophysics in Italy: Methods and Tools Prima Riunione Nazionale
A new, momentum preserving fast Poisson solver for N-body systems sharing effective O(N) computational complexity, has been recently developed by Dehnen (2000, 2002). We have implemented the proposedExpand
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Semiotic dynamics and collaborative tagging
TLDR
We introduce a stochastic model of user behavior embodying two main aspects of collaborative tagging: (i) a frequency-bias mechanism related to the idea that users are exposed to each other's tagging activity; and a notion of memory, or aging of resources, in the form of a heavy-tailed access to the past state of the system. Expand
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The fractal structure of the universe: Correlations of galaxies and clusters and the average mass density
It is shown that the use of the function ζ(r) for the analysis of statistical correlations for galaxies and clusters is conceptually incorrect. This is due to the fact that ζ(r) provides a correctExpand
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Scale-invariance of galaxy clustering
Abstract Some years ago we proposed a new approach to the analysis of galaxy and cluster correlations based on the concepts and methods of modern statistical Physics . This led to the surprisingExpand
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Universal scaling relations in food webs
TLDR
We propose to describe food webs as transportation networks by extending to them the concept of allometric scaling (how branching properties change with network size) and decompose them into spanning trees and loop-forming links. Expand
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Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf
The distribution of first digits in numbers series obtained from very different origins shows a marked asymmetry in favor of small digits that goes under the name of Benford's law. We analyze inExpand
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Measuring the Intangibles: A Metrics for the Economic Complexity of Countries and Products
We investigate a recent methodology we have proposed to extract valuable information on the competitiveness of countries and complexity of products from trade data. Standard economic theories predictExpand
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The Heterogeneous Dynamics of Economic Complexity
What will be the growth of the Gross Domestic Product (GDP) or the competitiveness of China, United States, and Vietnam in the next 3, 5 or 10 years? Despite this kind of questions has a largeExpand
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