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We present a simplification of Lieb's proof of the flux phase conjecture for interacting fermion systems--such as the Hubbard model--at half-filling on a general class of graphs. The main ingredient is a procedure which transforms a class of fermionic Hami ...
Many important classification problems are emphpolychotomies, emphi.e. the data are organized into K classes with K>2. Given an unknown function F:Omegato1,dots,K representing a polychotomy, an algorithm aimed at ``learning'' this polychotomy ...
We have studied the luminescence of narrow quantum wires at photoexcitation densities of up to similar to 3 x 10(6) cm(-1). We show that even at these densities, which are well above the expected Mott density of 8 x 10(5) cm(-1), excitonic recombination do ...
A proof of existence is given for a stationary model of alloy solidification. The system is composed of heat equation, solute equation and Navier-Stokes equations. In rite latter Carman-Kozeny penalization of porous medium models the mushy zone. The proble ...
The authors give a number of examples of two noncongruent isospectral domains in the plane and a particularly simple method of proof. One of their examples is a pair of domains that are not only isospectral but homophonic, i.e. each domain has a distinguis ...
Many important classification problems are \emph{polychotomies}, \emph{i.e.} the data are organized into K classes with K>2. Given an unknown function F:Ømega→{1,…,K} representing a polychotomy, an algorithm aimed at ``learning'' this p ...
Let S and S′ be compact Riemann surfaces of the same genus g (gge2) endowed with the Poincaré metric of constant negative curvature -1. par The authors show that for every epsilon>0, there exists an integer m=m(g,epsilon) with the property: Assum ...
We explain how to forge public parameters for the Digital Signature Standard with two known messages which always produce the same set of valid signatures (what we call a collision). This attack is thwarted by using the generation algorithm suggested in th ...
STAT transcription factors are expressed in many cell types and bind to similar sequences. However, different STAT gene knock-outs show very distinct phenotypes. To determine whether differences between the binding specificities of STAT proteins account fo ...
