On the appearance of Eisenstein series through degeneration

Let $\Gamma$ be a Fuchsian group of the first kind acting on the hyperbolic upper half plane $\mathbb H$, and let $M = \Gamma \backslash \mathbb H$ be the associated finite volume hyperbolic Riemann surface. If $\gamma$ is parabolic, there is an associated (parabolic) Eisenstein series, which, by now, is a classical part of mathematical literature. If $\gamma$ is hyperbolic, then, following ideas due to Kudla-Millson, there is a corresponding hyperbolic Eisenstein series. In this article, we study the limiting behavior of parabolic and hyperbolic Eisenstein series on a degenerating family of finite volume hyperbolic Riemann surfaces. In particular, we prove the following result. If $\gamma \in \Gamma$ corresponds to a degenerating hyperbolic element, then a multiple of the associated hyperbolic Eisenstein series converges to parabolic Eisenstein series on the limit surface.Comment: 15 pages, 2 figures. This paper has been accepted for publication in Commentarii Mathematici Helvetic

Discriminating between Cognitive and Supportive Group Therapies for Chronic Mental Illness

This descriptive and comparative study employed a Q-sort process to describe common factors of therapy in two group therapies for inpatients with chronic mental illness. While pharmacological treatments for chronic mental illness are prominent, there is growing evidence that cognitive therapy is also efficacious. Groups examined were part of a larger study comparing the added benefits of cognitive versus supportive group therapy to the treatment milieu. In general, items described the therapist’s attitudes and behaviors, the participants’ attitudes and behaviors, or the group interactions. Results present items that were most and least characteristic of each therapy and items that discriminate between the two modalities. Therapists in both groups demonstrated good therapy skills. However, the cognitive group was described as being more motivated and active than the supportive group, indicating that the groups differed in terms of common as well as specific factors of treatment

Does Speaking Two Dialects in Daily Life Affect Executive Functions? An Event-Related Potential Study

Whether using two languages enhances executive functions is a matter of debate. Here, we take a novel perspective to examine the bilingual advantage hypothesis by comparing bidialect with mono-dialect speakers’ performance on a non-linguistic task that requires executive control. Two groups of native Chinese speakers, one speaking only the standard Chinese Mandarin and the other also speaking the Southern-Min dialect, which differs from the standard Chinese Mandarin primarily in phonology, performed a classic Flanker task. Behavioural results showed no difference between the two groups, but event-related potentials recorded simultaneously revealed a number of differences, including an earlier P2 effect in the bi-dialect as compared to the mono-dialect group, suggesting that the two groups engage different underlying neural processes. Despite differences in the early ERP component, no between-group differences in the magnitude of the Flanker effects, which is an index of conflict resolution, were observed in the N2 component. Therefore, these findings suggest that speaking two dialects of one language does not enhance executive functions. Implications of the current findings for the bilingual advantage hypothesis are discussed

An interaction between Nrf2 polymorphisms and smoking status affects annual decline in FEV1: a longitudinal retrospective cohort study

<p>Abstract</p> <p>Background</p> <p>An Nrf2-dependent response is a central protective mechanism against oxidative stress. We propose that particular genetic variants of the <it>Nrf2 </it>gene may be associated with a rapid forced expiratory volume in one second (FEV₁) decline induced by cigarette smoking.</p> <p>Methods</p> <p>We conducted a retrospective cohort study of 915 Japanese from a general population. Values of annual decline in FEV₁were computed for each individual using a linear mixed-effect model. Multiple clinical characteristics were assessed to identify associations with annual FEV₁decline. Tag single-nucleotide polymorphisms (SNPs) in the <it>Nrf2 </it>gene (rs2001350, rs6726395, rs1962142, rs2364722) and one functional SNP (rs6721961) in the <it>Nrf2 </it>promoter region were genotyped to assess interactions between the <it>Nrf2 </it>polymorphisms and smoking status on annual FEV₁decline.</p> <p>Results</p> <p>Annual FEV₁decline was associated with smoking behavior and inversely correlated with FEV₁/FVC and FEV₁% predicted. The mean annual FEV₁declines in individuals with rs6726395 G/G, G/A, or A/A were 26.2, 22.3, and 20.8 mL/year, respectively, and differences in these means were statistically significant (p_corr= 0.016). We also found a significant interaction between rs6726395 genotype and smoking status on the FEV₁decline (p for interaction = 0.011). The haplotype rs2001350T/rs6726395A/rs1962142A/rs2364722A/rs6721961T was associated with lower annual decline in FEV₁(p = 0.004).</p> <p>Conclusions</p> <p>This study indicated that an Nrf2-dependent response to exogenous stimuli may affect annual FEV₁decline in the general population. It appears that the genetic influence of <it>Nrf2 </it>is modified by smoking status, suggesting the presence of a gene-environment interaction in accelerated decline in FEV₁.</p

New Insights of the Switching Process in GeAsTe Ovonic Threshold Switching (OTS) Selectors

Experimental evidence and analysis in this work provide new insights into the fast switching process in GeAsTe ovonic threshold switching (OTS) selectors. For the first time, the full switching-OFF process, covering the defect cluster shrinking and rupture stages, can be measured and characterized. Two distinct switch-OFF mechanisms and their dependence on the total impedance of the selector and resistor (1S1Rs) circuit are identified. The impact of series resistance value on the switching process, the 1S1Rs operation, and the underlying mechanisms can be explained by the dynamic resistance of OTS that is induced by the transition of defect clusters. This research sheds new light on OTS switching mechanism and its impact on 1S1Rs operation

Role of Ox-PAPCs in the Differentiation of Mesenchymal Stem Cells (MSCs) and Runx2 and PPARγ2 Expression in MSCs-Like of Osteoporotic Patients

BACKGROUND: Mesenchymal stem cells (MSCs) can differentiate into osteoblasts and adipocytes and conditions causing bone loss may induce a switch from the osteoblast to adipocyte lineage. In addition, the expression of Runx2 and the PPARγ2 transcription factor genes is essential for cellular commitment to an osteogenic and adipogenic differentiation, respectively. Modified lipoproteins derived from the oxidation of arachidonate-containing phospholipids (ox-PAPCs: POVPC, PGPC and PEIPC) are considered important factors in atherogenesis. METHODOLOGY: We investigated the effect of ox-PAPCs on osteogenesis and adipogenesis in human mesenchymal stem cells (hMSCs). In particular, we analyzed the transcription factor Runx2 and the PPARγ2 gene expression during osteogenic and adipogenic differentiation in absence and in presence of ox-PAPCs. We also analyzed gene expression level in a panel of osteoblastic and adipogenic differentiation markers. In addition, as circulating blood cells can be used as a "sentinel" that responds to changes in the macro- or micro-environment, we analyzed the Runx2 and the PPARγ2 gene expression in MSCs-like and ox-PAPC levels in serum of osteoporotic patients (OPs). Finally, we examined the effects of sera obtained from OPs in hMSCs comparing the results with age-matched normal donors (NDs). PRINCIPAL FINDINGS: Quantitative RT-PCR demonstrated that ox-PAPCs enhanced PPARγ2 and adipogenic gene expression and reduced Runx2 and osteoblast differentiation marker gene expression in differentiating hMSCs. In OPs, ox-PAPC levels and PPARγ2 expression were higher than in NDs, whereas Runx2 was lower than in ND circulant MSCs-like. CONCLUSIONS: Ox-PAPCs affect the osteogenic differentiation by promoting adipogenic differentiation and this effect may appear involved in bone loss in OPs