Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Rozenfeld, Hernan D."'
Publikováno v:
Phys. Rev. X 4, 011008 (2014)
We propose a bare-bones stochastic model that takes into account both the geographical distribution of people within a country and their complex network of connections. The model, which is designed to give rise to a scale-free network of social conne
Externí odkaz:
http://arxiv.org/abs/1306.0257
Publikováno v:
EPL 90 (2), 28002 (2010)
We propose a fluctuation analysis to quantify spatial correlations in complex networks. The approach considers the sequences of degrees along shortest paths in the networks and quantifies the fluctuations in analogy to time series. In this work, the
Externí odkaz:
http://arxiv.org/abs/1005.3680
We study the explosive character of the percolation transition in a real-world network. We show that the emergence of a spanning cluster in the Human Protein Homology Network (H-PHN) exhibits similar features to an Achlioptas-type process and is mark
Externí odkaz:
http://arxiv.org/abs/0911.4082
Publikováno v:
Phys. Rev. Lett. 104, 025701 (2010)
We show that renormalization group (RG) theory applied to complex networks are useful to classify network topologies into universality classes in the space of configurations. The RG flow readily identifies a small-world/fractal transition by finding
Externí odkaz:
http://arxiv.org/abs/0909.4832
Self-similarity is a property of fractal structures, a concept introduced by Mandelbrot and one of the fundamental mathematical results of the 20th century. The importance of fractal geometry stems from the fact that these structures were recognized
Externí odkaz:
http://arxiv.org/abs/0808.2206
Autor:
Rozenfeld, Hernan D., Rybski, Diego, Andrade Jr., Jose S., Batty, Michael, Stanley, H. Eugene, Makse, Hernan A.
Publikováno v:
PNAS 105, 18702--18707 (2008)
An important issue in the study of cities is defining a metropolitan area, as different definitions affect the statistical distribution of urban activity. A commonly employed method of defining a metropolitan area is the Metropolitan Statistical Area
Externí odkaz:
http://arxiv.org/abs/0808.2202
Publikováno v:
Phys. Rev. E 75, 061102 (2007)
We study the percolation phase transition in hierarchical scale-free nets. Depending on the method of construction, the nets can be fractal or small-world (the diameter grows either algebraically or logarithmically with the net size), assortative or
Externí odkaz:
http://arxiv.org/abs/cond-mat/0703155
Publikováno v:
New J. Phys. 9, 175 (2007)
We explore the concepts of self-similarity, dimensionality, and (multi)scaling in a new family of recursive scale-free nets that yield themselves to exact analysis through renormalization techniques. All nets in this family are self-similar and some
Externí odkaz:
http://arxiv.org/abs/cond-mat/0612330
Publikováno v:
Phys. Rev. E 72, 046142 (2005)
We investigate the differences between scale-free recursive nets constructed by a synchronous, deterministic updating rule (e.g., Apollonian nets), versus an asynchronous, random sequential updating rule (e.g., random Apollonian nets). We show that t
Externí odkaz:
http://arxiv.org/abs/cond-mat/0508317
Publikováno v:
Europhys. Lett. 67, 511-516 (2004)
Following a recent idea, to measure fame by the number of \Google hits found in a search on the WWW, we study the relation between fame (\Google hits) and merit (number of papers posted on an electronic archive) for a random group of scientists in co
Externí odkaz:
http://arxiv.org/abs/cond-mat/0404515