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Sharp transition towards shared vocabularies in multi-agent systems
TLDR
We introduce and study a model of communication which does not rely on generational transmission (genetic or cultural) for reaching linguistic coherence but on self-organization. Expand
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A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
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\betaExpand
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Language trees and zipping.
TLDR
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. Expand
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A kinetic equation for granular media
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,Expand
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Time Asymptotics for Solutions of Vlasov–Poisson Equation in a Circle
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 behaviorExpand
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A plagiarism detection procedure in three steps: Selection, matches and squares
TLDR
We present a detailed description of an algorithm tailored to detect external plagiarism in PAN-09 competition. Expand
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A Non-Maxwellian Steady Distribution for One-Dimensional Granular Media
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 thatExpand
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On the Boltzmann-Grad Limit for the Two Dimensional Periodic Lorentz Gas
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 aExpand
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The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions
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 integerExpand
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On the Distribution of Free Path Lengths for the Periodic Lorentz Gas III
Abstract: For r(0,1), let Zr={xR2|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. WeExpand
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