We consider a two-component quantum Hall system within a Landau-Ginzburg theory with two Chern-Simons gauge fields. From this theory we derive a sigma model covariantly coupled to one Chern-Simons field and find mean field solutions that could describe partially polarized quantum Hall states. The quasiparticles in the original model, which have quantized charge and spin, are described in the co...

Noise in multi-criteria data sets can manifest itself as non-monotonicity. Work on the remediation of such non-monotonicity is rather scarce. Nevertheless, errors are often present in real-life data sets, and several monotone classification algorithms are unable to use such partially non-monotone data sets. Fortunately, as we will show here, it is possible to restore monotonicity in an optimal ...

We consider quasimodes on planar domains with a partially rectangular boundary. We prove that for any ǫ0 > 0, an O(λ0 ) quasimode must have L mass in the “wings” (in phase space) bounded below by λ for any δ > 0. The proof uses the author’s recent work on 0-Gevrey smooth domains to approximate quasimodes on C domains. There is an improvement for C and C domains.

An individual may display an honesty standard which allows her to lie a little without that being harmful to her self view as an honest person. On this basis, the paper considers a society with a finite number of individuals involving partially-honest individuals and in which every individual has her own honesty standard. An individual honesty standard is modeled as a subgroup of the society, i...