Christian Villanueva - Trauma Exposure Reported By Women Recently Deported from the U.S. to Mexico

In 2012 the U.S. deported approximately 200,000 individuals to Mexico; a significant proportion of these individuals were women. The combined effect of previous traumatic experiences with that of being deported to Mexico is detrimental to women’s health. The trauma suffered through this process results in high levels of stress that lead to a variety of mental and physical health problems for Mexican women, disproportionally compared to men, who entered into and are deported from the U.S. The purpose of this study is to describe the life history of trauma exposure of women who have recently been deported from the U.S. to Mexico. The results of this study will inform the development of interventions to improve the health of these women being deported to Mexico. Data concerning life trauma exposure was recently collected quantitatively from 25 women who have been newly deported from the U.S. to Mexico at Casa Nazaret in Nogales, Mexico. These descriptive quantitative data were collected using The Life Stressor Inventory- Revised (LSC-R). The LSC-R instrument operationalized the life history of trauma exposure of the sample of women. The responses on this instrument were transcribed onto a Statistical Package for the Social Sciences (SPSS) spreadsheet. These data were then cleaned for missing responses. Qualitative responses on the LSC-R instrument were translated to a Likert scale, in order to create numerical ranks for the responses given by the women. The data was analyzed to provide a demographic description of the women and quantitative statistics were used to address the research questions.https://epublications.marquette.edu/mcnair_2013/1004/thumbnail.jp

Radial continuous rotation invariant valuations on star bodies

We characterize the positive radial continuous and rotation invariant valuations $V$ defined on the star bodies of $\mathbb R^n$ as the applications on star bodies which admit an integral representation with respect to the Lebesgue measure. That is, $$V(K)=\int_{S^{n-1}}\theta(\rho_K)dm,$$ where $\theta$ is a positive continuous function, $\rho_K$ is the radial function associated to $K$ and $m$ is the Lebesgue measure on $S^{n-1}$. As a corollary, we obtain that every such valuation can be uniformly approximated on bounded sets by a linear combination of dual quermassintegrals.Comment: Two minor gaps and several typos corrected thanks to the refere

A new approach to the parameterization method for Lagrangian tori of hamiltonian systems

We compute invariant Lagrangian tori of analytic Hamiltonian systems by the parameterization method. Under Kolmogorov’s non-degeneracy condition, we look for an invariant torus of the system carrying quasi-periodic motion with fixed frequencies. Our approach consists in replacing the invariance equation of the parameterization of the torus by three conditions which are altogether equivalent to invariance. We construct a quasi-Newton method by solving, approximately, the linearization of the functional equations defined by these three conditions around an approximate solution. Instead of dealing with the invariance error as a single source of error, we consider three different errors that take account of the Lagrangian character of the torus and the preservation of both energy and frequency. The condition of convergence reflects at which level contributes each of these errors to the total error of the parameterization. We do not require the system to be nearly integrable or to be written in action-angle variables. For nearly integrable Hamiltonians, the Lebesgue measure of the holes between invariant tori predicted by this parameterization result is of O(e1/2)O(e1/2) , where ee is the size of the perturbation. This estimate coincides with the one provided by the KAM theorem.Peer ReviewedPostprint (author's final draft

Parental altruism under imperfect information: Theory and evidence

Can we reconcile the predictions of the altruism model of the family with the evidence on intervivos transfers in the US? This paper expands the altruism model by introducing e ?ort of the child and by relaxing the assumption of perfect information of the parent about the labor market opportunities of the child. First, I solve and simulate a model of altruism under imperfect information. Second, I use cross-sectional data to test a prediction of the model: Are parental transfers especially responsive to the income variations of children who are very attached to the labor market? The results suggest that imperfect information accounts for several patterns of intergenerational transfers in the US.Altruism, imperfect information, intervivos transfers