Helping with Domestic Violence: Legal Barriers to Serving Teens in Illinois

In the spring of 1999 the Center for Impact Research (CIR) and the Illinois Caucus for Adolescent Health conducted a study looking at the prevalence of domestic violence among teen mothers receiving Temporary Assistance for Needy Families in Chicago.1 In a sample of 474 teen mothers on the south and west sides of Chicago, CIR found that 55% of the young women had experienced some level of domestic violence at the hands of their boyfriends in the previous 12 months. The study also found a strong association between domestic violence and birth control sabotage, where teen girls' attempts to use birth control were undermined or thwarted by their partners.In qualitative interviews it became apparent that many of these low-income teen mothers were experiencing severe difficulties with escaping domestic violence due to a lack of temporary or permanent housing opportunities. CIR subsequently began to conduct research with the goal of identifying the legal and regulatory barriers to serving teen victims of domestic violence

The distribution of asteroids: evidence from Antarctic micrometeorites

The relative abundances of types amongst 550 AMMs are reported. These suggest that C-type asteroids vary from petrologic type 1 to 3.2 and that the majority of S-type asteroids are chondrule-rich

Limit Models in Strictly Stable Abstract Elementary Classes

In this paper, we examine the locality condition for non-splitting and determine the level of uniqueness of limit models that can be recovered in some stable, but not superstable, abstract elementary classes. In particular we prove: Suppose that $K$ is an abstract elementary class satisfying 1. the joint embedding and amalgamation properties with no maximal model of cardinality $\mu$. 2. stabilty in $\mu$. 3. $\kappa_{\mu}(K)<\mu^+$. 4. continuity for non-$\mu$-splitting (i.e. if $p\in gS(M)$ and $M$ is a limit model witnessed by $\langle M_i\mid i<\alpha\rangle$ for some limit ordinal $\alpha<\mu^+$ and there exists $N$ so that $p\restriction M_i$ does not $\mu$-split over $N$ for all $i<\alpha$, then $p$ does not $\mu$-split over $N$). For $\theta$ and $\delta$ limit ordinals $<\mu^+$ both with cofinality $\geq \kappa_{\mu}(K)$, if $K$ satisfies symmetry for non-$\mu$-splitting (or just $(\mu,\delta)$-symmetry), then, for any $M_1$ and $M_2$ that are $(\mu,\theta)$ and $(\mu,\delta)$-limit models over $M_0$, respectively, we have that $M_1$ and $M_2$ are isomorphic over $M_0$.Comment: This article generalizes some results from arXiv:1507.0199

Quadratic transformations of Macdonald and Koornwinder polynomials

When one expands a Schur function in terms of the irreducible characters of the symplectic (or orthogonal) group, the coefficient of the trivial character is 0 unless the indexing partition has an appropriate form. A number of q-analogues of this fact were conjectured in math.QA/0112035; the present paper proves most of those conjectures, as well as some new identities suggested by the proof technique. The proof involves showing that a nonsymmetric version of the relevant integral is annihilated by a suitable ideal of the affine Hecke algebra, and that any such annihilated functional satisfies the desired vanishing property. This does not, however, give rise to vanishing identities for the standard nonsymmetric Macdonald and Koornwinder polynomials; we discuss the required modification to these polynomials to support such results.Comment: 32 pages LaTeX, 10 xfig figure