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10 papers · 1 filter
Cycles structure and local ordering in complex networks
Guido Caldarelli, Romualdo Pastor-Satorras, Alessandro Vespignani
We study the properties of metrics aimed at the characterization of grid-like ordering in complex networks. These metrics are based on the global and local behavior of cycles of or…
Groupes de Selmer et accouplements
Bernadette Perrin-Riou
Nekovář vient de démontrer que le rang de $E(\Q)$ pour une courbe elliptique définie sur $\Q$ est de même parité que la multiplicité du zéro en de la fonction comp…
Maskit combinations of Poincare-Einstein metrics
Rafe Mazzeo, Frank Pacard
We establish a boundary connected sum theorem for asymptotically hyperbolic Einstein metrics; this requires no nondegeneracy hypothesis. We also show that if the two metrics have s…
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…