1,821 research outputs found

    Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields

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    In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, which are non-degenerate with respect to their Newton polytopes at infinity. As an application we obtain asymptotic expansions for p-adic oscillatory integrals attached to Laurent polynomials. We show the existence of two different asymptotic expansions for p-adic oscillatory integrals, one when the absolute value of the parameter approaches infinity, the other when the absolute value of the parameter approaches zero. These two asymptotic expansions are controlled by the poles of twisted local zeta functions of Igusa type.Comment: The condition on the critical set on the mapping f considered in Section 2.5 of our article is not sufficient to assure the vanishing of the twisted local zeta functions (for almost all the characters) as we assert in Theorem 3.9. A new condition on the mapping f is provide

    Physical and Sexual Violence, Mental Health indicators, and treatment seeking among street-based population groups in Tegucigalpa, Honduras

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    To establish the prevalence of exposure to physical and sexual violence, mental health symptoms, and medical treatment-seeking behavior among three street-based subpopulation groups in Tegucigalpa, Honduras, and to assess the association between sociodemographic group, mental health indicators, and exposure to violence

    Breakdown of Kinetic Compensation Effect in Physical Desorption

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    The kinetic compensation effect (KCE), observed in many fields of science, is the systematic variation in the apparent magnitudes of the Arrhenius parameters EaE_a, the energy of activation, and ν\nu, the preexponential factor, as a response to perturbations. If, in a series of closely related activated processes, these parameters exhibit a strong linear correlation, it is expected that an isokinetic relation will occur, then the rates kk become the same at a common compensation temperature TcT_c. The reality of these two phenomena continues to be debated as they have not been explicitly demonstrated and their physical origins remain poorly understood. Using kinetic Monte Carlo simulations on a model interface, we explore how site and adsorbate interactions influence the Arrhenius parameters during a typical desorption process. We find that their transient variations result in a net partial compensation, due to the variations in the prefactor not being large enough to completely offset those in EaE_a, both in plots that exhibit a high degree of linearity and in curved non-Arrhenius plots. In addition, the observed isokinetic relation arises due to a transition to a non-interacting regime, and not due to compensation between EaE_a and lnν\ln{\nu}. We expect our results to provide a deeper insight into the microscopic events that originate compensation effects and isokinetic relations in our system, and in other fields where these effects have been reported.Comment: 11 pages, 17 figures, 3 table

    Poles of Archimedean zeta functions for analytic mappings

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    In this paper, we give a description of the possible poles of the local zeta function attached to a complex or real analytic mapping in terms of a log-principalization of an ideal associated to the mapping. When the mapping is a non-degenerate one, we give an explicit list for the possible poles of the corresponding local zeta function in terms of the normal vectors to the supporting hyperplanes of a Newton polyhedron attached to the mapping, and some additional vectors (or rays) that appear in the construction of a simplicial conical subdivision of the first orthant. These results extend the corresponding results of Varchenko to the case l\geq1, and K=R or C. In the case l=1 and K=R, Denef and Sargos proved that the candidates poles induced by the extra rays required in the construction of a simplicial conical subdivision can be discarded from the list of candidate poles. We extend the Denef-Sargos result arbitrary l\geq1. This yields in general a much shorter list of candidate poles, that can moreover be read off immediately from the Newton polyhedron

    Supporting Pedagogical Spanish Language Competencies: Bilingual Teacher Education en la Frontera

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    This autoethnography explores my experience as a bilingual teacher educator on the Texas, United States-Mexico border supporting the development of preservice teachers\u27 pedagogical Spanish language competencies through a course that I have been developing over the last few years. To this aim, I look at my positionality and experiences developing my bilingualism in the same border community and my pedagogical Spanish language competence. My goal is to suggest how teacher education can support the development of bilingual teacher candidates\u27 Spanish language competence in ways that recognize the linguistic diversity of border communities, critically unpack hegemonic ideologies, and prepare teacher candidates to feel confident in meeting the linguistic and academic demands and realities of the bilingual classroom

    Cultural Narratives and Counterstories: Examining Representation in “Prietita y la Llorona”

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    Stories can be a powerful medium through which to simultaneously reinforce and counter oppressive discourse. This article examines Gloria Anzaldúa’s children’s book, Prietita y La Llorona, as a counterstory method within the larger genre of Latinx children’s literature. Counterstories are a powerful method used by Critical Race and feminist theorists to center the delegitimized experiences of marginalized communities. Drawing on theories around discourse, representation, and intersectionality, the article explores the ways in which Anzaldúa counters cultural narratives that diminish community cultural wealth and women’s positions as agents of knowledge through the characters of Doña Lola and La Llorona

    Introduction: Data Breaches: Moving Forward, Practically

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    Cardozo Law Review de•novo’s online symposium: Data Breaches: Moving Forward, Practically focuses on proactive steps that policymakers, regulators, the judiciary, and businesses can take to address the array of issues arising from data breaches. The online symposium features articles from Lauren Henry, Adam Lamparello, Peter Yu, and David Thaw
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