Vito D P Servedio

Statistical mechanics of complex systems

Sapienza University
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Semiotic Dynamics

Tag cloudA new paradigm has been quickly gaining ground in information systems on the World Wide Web: Collaborative Tagging. In web-based applications like Del.icio.us, Flickr, CiteULike, BibSonomy, users enrich diverse resources, ranging from photographs to scientific references and web pages, with semantically meaningful information in the form of text labels, or tags. Tags are freely chosen and users associate resources with them in a totally uncoordinated fashion, for their own use. Despite its intrinsic anarchist nature, the dynamics of this terminology system spontaneously leads to patterns of terminology common to the whole community or to subgroups of it. Surprisingly, this emergent and evolving semiotic system provides a very efficient navigation system through a large, complex and heterogeneous sea of information. My research is aimed at giving a scientific foundation to these developments, so contributing to the growth of the new field of Semiotic Dynamics. Semiotic Dynamics studies how semiotic relations can originate, spread, and evolve over time in populations, by combining recent advances in linguistics and cognitive science with methodological and theoretical tools of complex systems and computer science. My research aims at exploiting the unique opportunity offered by the availability of enormous amount of data. This goal will be achieved through: (a) a systematic and rigorous gathering of data; (b) designing and implementing innovative tools and procedures for data analysis and mining; (c) constructing suitable modeling schemes which will be implemented in extensive numerical simulations. My research aims in this way at providing a virtuous feedback between data collection, analysis, modeling, simulations and (whenever possible) theoretical constructions, with the final goal to understand, predict and control the Semiotic Dynamics of on line social systems.

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Complex Networks

Geographical network In the last years, much attention has focused on the study of complex networks. A network is a mathematical object consisting of a collection of vertices (nodes) connected by edges (links). Networks arise in many areas of science: biology, social sciences, Internet, WWW, etc., where vertices and links can be for example, proteins and their mutual interaction, individuals and sexual relationship, computers and cable connections. Very interestingly the same non trivial statistical properties appear ubiquitously in all the above situations. A more traditional view, indeed, is represented by the binomial model inspired to the random graph model of Erdös-Rényi, where each vertex has the same probability to connect to any other, resulting in a network with vertex degree, i.e. the number of edges connected to each vertex, distributed according to a binomial probability distribution. This is not the case of real data, where instead, the structure is self similar resulting in a scale-free probability distribution for the degree. More specifically, the degree of the vertices is distributed according to a power law with exponents usually between -3 and -2.

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Surface Electronic Structure Calculations

LKKR calculation The electronic properties of solids are mainly determined by their electrons in the bulk. However, in certain circumstances the electrons close to the surface acquire lot of importance. For example, scanning tunneling spectroscopy (STS) measurements or photo-emission (PE) experiments are able to probe only a narrow region of few layers below the surface (because of the low penetration depth of electrons). In order to understand the results of such experiments, we have to calculate the electronic stucture of solids near their surface. This task is not simple, since the Bloch theorem is no more valid along the direction perpendicular to the surface and special tecniques have to be used to cope with this nasty loss of symmetry.

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