Correspondence of the eigenvalues of a non-self-adjoint operator to those of a self-adjoint operator

We prove that the eigenvalues of a certain highly non-self-adjoint operator that arises in fluid mechanics correspond, up to scaling by a positive constant, to those of a self-adjoint operator with compact resolvent; hence there are infinitely many real eigenvalues which accumulate only at $\pm \infty$. We use this result to determine the asymptotic distribution of the eigenvalues and to compute some of the eigenvalues numerically. We compare these to earlier calculations by other authors.Comment: 29 pages, corrections to section 3, added section

Review of single vector boson production in pp collisions at s=7\sqrt{s} = 7 TeV

This review summarises the main results on the production of single vector bosons in the Standard Model, both inclusively and in association with light and heavy flavour jets, at the Large Hadron Collider in proton-proton collisions at a center-of-mass energy of 7 TeV. The general purpose detectors at this collider, ATLAS and CMS, each recorded an integrated luminosity of $\approx 40\,{\rm pb^{-1}}$ and $5\,{\rm fb^{-1}}$ in the years 2010 and 2011, respectively. The corresponding data offer the unique possibility to precisely study the properties of the production of heavy vector bosons in a new energy regime. The accurate understanding of the Standard Model is not only crucial for searches of unknown particles and phenomena but also to test predictions of perturbative Quantum-Chromo-Dynamics calculations and for precision measurements of observables in the electroweak sector. Results from a variety of measurements in which single W or Z bosons are identified are reviewed. Special emphasis in this review is given to interpretations of the experimental results in the context of state-of-the-art predictions.Comment: 60 pages, 64 figures, For Eur. Phys. J.

On and Off-diagonal Sturmian operator: dynamic and spectral dimension

We study two versions of quasicrystal model, both subcases of Jacobi matrices. For Off-diagonal model, we show an upper bound of dynamical exponent and the norm of the transfer matrix. We apply this result to the Off-diagonal Fibonacci Hamiltonian and obtain a sub-ballistic bound for coupling large enough. In diagonal case, we improve previous lower bounds on the fractal box-counting dimension of the spectrum.Comment: arXiv admin note: text overlap with arXiv:math-ph/0502044 and arXiv:0807.3024 by other author

Records for Bittacus Hangingflies and Panorpa Scorpionflies (Mecoptera: Bittacidae and Panorpidae) in Florida

We provide new county records for four species of panorpids (Panorpa americana Swederus, Panorpa lugubris Swederus, Panorpa sp. undetermined, and one undescribed species from the Panorpa rufescens Rambur species group) and two species of bittacids (Bittacus pilicornis Westwood, Bittacus punctiger Westwood), and call attention to a previously published county record for another species, Panorpa rufa Gray, in Florida. Additionally, we reject a previously published record for the scorpionfly Panorpa claripennis Hine in Florida, which we overlooked in our 2008 preliminary checklist of Florida mecopterans. The record for P. lugubris in Miami-Dade County is the southernmost record for any panorpid in the continental United States

Nomenclatural faux pas for Speyeria atlantis greyi Moeck, 1950 (Lepidoptera: Nymphalidae)

Nomenclatural errors associated with the nymphalid butterfly, Speyeria atlantis greyi Moeck, have persisted in the literature and electronic databases. We present here a synonymy of the various combinations and misspellings associated with it and clearly indicate the correct name and spelling based on Moecks (1950) original description. Additionally, color images of the holotype and allotype specimens are published herein for the first time

Preliminary Checklist of the Mecoptera of Florida: Earwigflies, Hangingflies, and Scorpionflies

We provide the first species checklist of Mecoptera indigenous to Florida, based upon preliminary data gathered primarily from specimens housed in the Florida State Collection of Arthropods. There are 11 described and one undescribed species of mecopterans, representing three families, inhabiting the state of Florida. These include the recently discovered meropeid (earwigfly), Merope tuber Newman, four species of bittacids (hangingflies), represented by the genus Bittacus Latreille, and 7 species (one undescribed) of panorpids (scorpionflies), represented by the genus Panorpa Linnaeus. We are not certain if one of these, Bittacus texanus Banks, is indigenous, represents a nonindigenous occurrence, or is simply erroneous. Two of the species on our list, Bittacus stigmaterus Say and Panorpa venosa Westwood, represent first state records and one species, Panorpa floridana Byers, is endemic. Six of the species which have been recorded in Florida, M. tuber, Bittacus punctiger Westwood, Panorpa rufa Gray, Panorpa pachymera Byers, Panorpa lugubris Swederus and P. venosa, represent the southernmost records for these species in the continental United States. Perceived diversity and abundance of mecopteran species in Florida are limited by climate, biogeography, and collection bias