Admissible semi-linear representations

The category of admissible (in the appropriately modified sense of representation theory of totally disconnected groups) semi-linear representations of the automorphism group of an algebraically closed extension of infinite transcendence degree of the field of algebraic complex numbers is described

Prosody and scope in German inverse linking constructions

In German, prosody interacts with quantifier scope. We investigate this interaction in inverse linking constructions. We present evidence from elicited production of linguistically naive speakers supporting the following two claims: 1) There are two kinds of inverse linking constructions of which only the prepositional type requires a marked intonation contour for inverse scope. 2) In the prepositional construction, a double focus contour is employed with inverse scope rather that a topic-focus (rise-fall) contour as previously assumed (Krifka 1998)

Configuration spaces and Vassiliev classes in any dimension

The real cohomology of the space of imbeddings of S^1 into R^n, n>3, is studied by using configuration space integrals. Nontrivial classes are explicitly constructed. As a by-product, we prove the nontriviality of certain cycles of imbeddings obtained by blowing up transversal double points in immersions. These cohomology classes generalize in a nontrivial way the Vassiliev knot invariants. Other nontrivial classes are constructed by considering the restriction of classes defined on the corresponding spaces of immersions.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-39.abs.htm

Are 21st-century citizens grieving for their loss of privacy?

Although much research exists that examines cognitive events leading up to information disclosure, such as risk-benefit analysis and state-based and trait-based attributes, minimal research exists that examines user responses after a direct or indirect breach of privacy. The present study examines 1,004 consumer responses to two different high-profile privacy breaches using sentiment analysis. Our findings indicate that individuals who experience an actual or surrogate privacy breach exhibit similar emotional responses, and that the pattern of responses resembles well-known reactions to other losses. Specifically, we present evidence that users contemplating evidence of a privacy invasion experience and communicate very similar responses as individuals who have lost loved ones, gone through a divorce or who face impending death because of a terminal illness. These responses parallel behavior associated with the Kübler-Ross’s five stages of grief

Integral Invariants of 3-Manifolds

This note describes an invariant of rational homology 3-spheres in terms of configuration space integrals which in some sense lies between the invariants of Axelrod and Singer and those of Kontsevich.Comment: 39 pages, AMS-LaTeX, to appear in J. Diff. Geo

Exact results for strongly-correlated fermions in 2+1 dimensions

We derive exact results for a model of strongly-interacting spinless fermions hopping on a two-dimensional lattice. By exploiting supersymmetry, we find the number and type of ground states exactly. Exploring various lattices and limits, we show how the ground states can be frustrated, quantum critical, or combine frustration with a Wigner crystal. We show that on generic lattices, the model is in an exotic ``super-frustrated'' state characterized by an extensive ground-state entropy.Comment: 4 pages, 2 figures. v2: added discussion of "super-frustrated" state; to appear in PR

The Thomson scattering cross section in a magnetized, high density plasma

We calculate the Thomson scattering cross section in a non-relativistic, magnetized, high density plasma -- in a regime where collective excitations can be described by magnetohydrodynamics. We show that, in addition to cyclotron resonances and an elastic peak, the cross section exhibits two pairs of peaks associated with slow and fast magnetosonic waves; by contrast, the cross section arising in pure hydrodynamics possesses just a single pair of Brillouin peaks. Both the position and the width of these magnetosonic-wave peaks depend on the ambient magnetic field and temperature, as well as transport and thermodynamic coefficients, and so can therefore serve as a diagnostic tool for plasma properties that are otherwise challenging to measure.Comment: Main paper: pp 1-8. Appendix: pp 8-10. 2 figure