Interacting Individuals Leading to Zipf's Law

Marsili, Matteo; Zhang, Yicheng

doi:10.1103/physrevlett.80.2741

Cited by 178 publications

(126 citation statements)

References 5 publications

(6 reference statements)

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“…In contrast with many cases observed since the work of Zipf [22], the observed distributions are not power laws but exponentials. This might be the signature of a transient regime and would mean that the Internet didn't reach his stationary state, but it is more probably the sign that the Internet traffic has a unique, non hierarchical-type structure [23]. This exponential behavior also means that-at least in the Renater network-there are essentially two categories of regions.…”

Section: Databases Versus Active Centersmentioning

confidence: 99%

Spatial structure of the internet traffic

Barthélemy

Gondran

Guichard

2003

Physica A: Statistical Mechanics and its Applications

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The Internet infrastructure is not virtual: its distribution is dictated by social, geographical, economical, or political constraints. However, the infrastructure's design does not determine entirely the information traffic and different sources of complexity such as the intrinsic heterogeneity of the network or human practices have to be taken into account. In order to manage the Internet expansion, plan new connections or optimize the existing ones, it is thus critical to understand correlations between emergent global statistical patterns of Internet activity and human factors. We analyze data from the French national 'Renater' network which has about 2 millions users and which consists in about 30 interconnected routers located in different regions of France and we report the following results. The Internet flow is strongly localized: most of the traffic takes place on a 'spanning' network connecting a small number of routers which can be classified either as 'active centers' looking for information or 'databases' providing information. We also show that the Internet activity of a region increases with the number of published papers by laboratories of that region, demonstrating the positive impact of the Web on scientific activity and illustrating quantitatively the adage 'the more you read, the more you write'.

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Section: Databases Versus Active Centersmentioning

confidence: 99%

Spatial structure of the internet traffic

Barthélemy

Gondran

Guichard

2003

Physica A: Statistical Mechanics and its Applications

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“…Through this local coupling we are able to model the herding behavior. In [12] it has been shown that interactions of order higher than pairwise are not relevant in the dynamics that lead to Zipf's law.…”

Section: The Modelmentioning

confidence: 99%

“…• Initial amount of money: According to [11][12][13][14], it is likely that the Zipf's law is quite universal. On the light of this observation, we have decided to distribute the money to traders following such a distribution.…”

Section: The Modelmentioning

confidence: 99%

“…Differently from the threshold, the initial wealth of the traders follows a Zipf's distribution. Inspired by [11][12][13][14] we have decided to distribute the richness according to a Zipf's law in the following way: the 20% of the traders posses around the 80% of M and among the two groups this rule is applied again in a recursive way 2 . In this way we are able to model the difference between a normal agent and an istitutional investor and the different effect they produce when they decide to enter the market.…”

Section: Simulation Runsmentioning

confidence: 99%

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On financial markets trading

Matassini

Franci

2001

Physica A: Statistical Mechanics and its Applications

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Abstract.Starting from the observation of the real trading activity, we propose a model of a stockmarket simulating all the typical phases taking place in a stock exchange. We show that there is no need of several classes of agents once one has introduced realistic constraints in order to confine money, time, gain and loss within an appropriate range. The main ingredients are local and global coupling, randomness, Zipf distribution of resources and price formation when inserting an order. The simulation starts with the initial public offer and comprises the broadcasting of news/advertisements and the building of the book, where all the selling and buying orders are stored. The model is able to reproduce fat tails and clustered volatility, the two most significant characteristics of a real stockmarket, being driven by very intuitive parameters.

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“…From the point of view of a physicist, it may be seen as a natural phenomenon, whose microscopic "laws of motion" should be discovered and consequences drawn from them, amenable to experimental verification (or falsification). Statistical physics is successfully involved in investigation of various collective dynamic phenomena, which come from interdisciplinary areas, like car traffic [5], city growth [6], pedestrian dynamics [7], forest fires [8], river networks [9] or biological evolution [10].…”

Section: Introductionmentioning

confidence: 99%

Capital flow in a two-component dynamical system

Slanina

Zhang

1999

Physica A: Statistical Mechanics and its Applications

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A model of open economics composed of producers and speculators is investigated by numerical simulations. The capital flows from the environment to the producers and from them to the speculators. The price fluctuations are suppressed by the speculators. When the aggressivity of the speculators grows, there is a transition from the regime with almost sure profit to a very risky regime in which very small fraction of speculators have stable gain. The minimum of price fluctuations occurs close to the transition.PACS numbers: 05.40.-a, 89.90.+n

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Interacting Individuals Leading to Zipf's Law

Abstract: We present a general approach to explain the Zipf's law of city distribution. If the simplest interaction (pairwise) is assumed, individuals tend to form cities in agreement with the well-known statisticsComment: 4 pages 2 figure

Cited by 178 publications

References 5 publications

Spatial structure of the internet traffic

Spatial structure of the internet traffic

On financial markets trading

Capital flow in a two-component dynamical system

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