# Francesca Colaiori

We present an analysis of the statistical properties and growth of the free on-line encyclopedia Wikipedia. By describing topics by vertices and hyperlinks between them as edges, we can represent this encyclopedia as a directed graph. The topological properties of this graph are in close analogy with those of the World Wide Web, despite the very differentâ€¦ (More)
• Physical review letters
• 2003
We study the average shape of a fluctuation of a time series x(t), which is the average value <x(t) - x(0)>(T) before x(t) first returns at time T to its initial value x(0). For large classes of stochastic processes, we find that a scaling law of the form <x(t) - x(0)>(T) = T(alpha)f(t/T) is obeyed. The scaling function f(s) is, to a large extent,â€¦ (More)
We present an analysis of the statistical properties and growth of the free on-line encyclopedia Wikipedia. By describing topics by vertices and hyperlinks between them as edges, we can represent this encyclopedia as a directed graph. The topological properties of this graph are in close analogy with that of the World Wide Web, despite the very differentâ€¦ (More)
• Physical review. E, Statistical, nonlinear, andâ€¦
• 2002
We have studied the Kardar-Parisi-Zhang equation in the strong coupling regime in the mode-coupling approximation. We solved numerically in dimension d=1 for the correlation function at wave vector k. At large times t we found the predicted stretched exponential decay consistent with our previous saddle point analysis [Phys. Rev. E 63, 057103 (2001)], butâ€¦ (More)
• Physical review. E, Statistical, nonlinear, andâ€¦
• 2001
We study the mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling regime, focusing on the long time properties. By a saddle point analysis of the mode-coupling equations, we derive exact results for the correlation function in the long-time limit-a limit that is hard to study using simulations. The correlation function at waveâ€¦ (More)
We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large networks even when these are not sharply partitioned, it turns to be specially suitable to the analysis of social andâ€¦ (More)
• Physical review. E, Statistical, nonlinear, andâ€¦
• 2004
We compute the average shape of trajectories of some one-dimensional stochastic processes x(t) in the (t,x) plane during an excursion, i.e., between two successive returns to a reference value, finding that it obeys a scaling form. For uncorrelated random walks the average shape is semicircular, independent from the single increments distribution, as longâ€¦ (More)
• Physical review letters
• 2004
The equilibrium and nonequilibrium disorder-induced phase transitions are compared in the random-field Ising model. We identify in the demagnetized state the correct nonequilibrium hysteretic counterpart of the T=0 ground state, and present evidence of universality. Numerical simulations in d=3 indicate that exponents and scaling functions coincide, whileâ€¦ (More)