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21 papers · 1 filter
Spontaneous coalition forming: Why some are stable?
Serge Galam
A model to describe the spontaneous formation of military and economic coalitions among a group of countries is proposed using spin glass theory. Between each couple of countries,…
The Boson Normal Ordering Problem and Generalized Bell Numbers
P. Blasiak, K. A. Penson, A. I. Solomon
For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for F[(a*)^r a^s], with r,s positive integers,[a,a*]=1, i.e. we provide exact and explici…
A giant overshoot effect in the Janssen granular column
G. Ovarlez, C. Fond, E. Clément
We present new experimental results on the mechanical behavior of static granular assemblies confined in a vertical column. Our measurements confirm, for the first time, the univer…
Combinatorics of Boson Normal Ordering: the Dobinski Formula Revisited
Karol A. Penson, Allan I. Solomon
We derive explicit formulas for the normal ordering of powers of arbitrary monomials of boson operators. These formulas lead to generalisations of conventional Bell and Stirling nu…
Initial conditions, Discreteness and non-linear structure formation in cosmology
Francesco Sylos Labini, Thierry Baertschiger, Andrea Gabrielli +1
In this lecture we address three different but related aspects of the initial continuous fluctuation field in standard cosmological models. Firstly we discuss the properties of the…
Statistics of lowest droplets in two-dimensional Gaussian Ising spin glasses
Picco Marco, Ritort Felix, Sales Marta
A new approach to determine the value of the zero-temperature thermal exponent theta in spin glasses is presented. It consists in describing the energy level spectrum in spin glass…