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What processes can explain how very large populations are able to converge on the use of a particular word or grammatical construction without global coordination? Answering this question helps to… (More)

- Dario Benedetto, Emanuele Caglioti, Vittorio Loreto
- Physical review letters
- 2002

In this Letter we present a very general method for extracting information from a generic string of characters, e.g., a text, a DNA sequence, or a time series. Based on data-compression techniques,… (More)

AbstractWe consider the canonical Gibbs measure associated to aN-vortex system in a bounded domain Λ, at inverse temperature
$$\widetilde\beta $$
and prove that, in the limitN→∞,
$$\widetilde\beta… (More)

In this short note we correct a conceptual error in the heuristic derivation of a kinetic equation used for the description of a one-dimensional granular medium in the so called quasi-elastic limit,… (More)

We consider a nonlinear Fokker–Planck equation for a one-dimensional granular medium. This is a kinetic approximation of a system of nearly elastic particles in a thermal bath. We prove that… (More)

We prove that there exists a class of solutions of the nonlinear Vlasov–Poisson equation (VPE) on a circle that converges weakly, as t → ∞, to a stationary homogeneous solution of VPE. This behavior… (More)

Abstract: For r(0,1), let Zr={xR2|dist(x,Z2)>r/2} and define τr(x,v)=inf{t>0|x+tv∂Zr}. Let Φr(t) be the probability that τr(x,v)≥t for x and v uniformly distributed in Zr and §1 respectively. We… (More)

We present a detailed description of an algorithm tailored to detect external plagiarism in PAN-09 competition. The algorithm is divided into three steps: a first reduction of the size of the problem… (More)

The two-dimensional, periodic Lorentz gas, is the dynamical system corresponding with the free motion of a point particle in a planar system of fixed circular obstacles centered at the vertices of a… (More)

Abstract The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer… (More)