Log-dimensional spectral properties of one-dimensional quasicrystals

We consider discrete one-dimensional Schr\"odinger operators on the whole line and establish a criterion for continuity of spectral measures with respect to $\log$-Hausdorff measures. We apply this result to operators with Sturmian potentials and thereby prove logarithmic quantum dynamical lower bounds for all coupling constants and almost all rotation numbers, uniformly in the phase.Comment: 7 page

The effectiveness of back squats and depth jumps on eliciting postactivation potentiation

PURPOSE: Data show that heavy preload stimuli preceding a sprint can improve performance by eliciting postactivation potentiation (PAP), an increased intramuscular sensitivity to calcium that enhances cross-bridge cycling, thereby acutely enhancing force production and strength. The aim of this study was to compare depth jumps (DJ) to back squats (BS) as a means to elicit PAP in college aged female rowers. METHODS: Twenty Division III collegiate female athletes, whose mean ± SD for age, height, weight, and VO2 Max were, respectively, 18.9 ± 0.9y, 1.5 ± 0.05m, 60.7 ± 21.4kg and 42.8 ± 4.44 ml.kg-1.min-1, completed a 40m sprint timed at 10m, 20m, and 40m with an electronic timing system. Subjects were randomly divided into either the DJ or BS group. Subsequently, their one repetition maximum (1 RM) for the BS or DJ was measured. One week later, subjects completed a 40m sprint, and then three repetitions at 90% of their 1RM for BS or three DJ; after 7 min of active rest, they completed a second 40m sprint. A dynamic warm-up and active cool down preceded and followed each testing session. Data were analyzed with three 2x2 repeated measures ANOVA with post hoc t-test performed where significance was found. RESULTS: Both conditions increased sprint time at 40m with DJ being significantly slower while BS only trended toward significance; DJ and BS 20m sprint time was also slower although not significantly. CONCLUSION: The data show that three repetitions at 90% of 1RM for BS or three DJ did not elicit PAP in female college rowers. These findings may be related to sex, load, training incompatibility, or sprinting proficiency in this subject population

Stock Returns and the Franchise Value

An accurate predictive model of a firm’s future performance has been long sought after in the finance field. This study examines the relationship of a firm’s franchise value, using the Franchise Factor, to its Price-to-Earnings ratio as one model of performance. Using the firms in the S&P 1,500 as the data sample, this study also examines the effects of market value along with the franchise value to price-to-earnings ratio. The results show that the franchise value to price-to-earnings ratio, even when controlling for the firm’s market value, was in fact predictive of individual companies’ stock returns between 2000 and 2009

Adult Mentoring: Benefits to Adolescent Mothers

This exploratory study was conducted to explore the following research questions: l) What are the needs of pregnant and parenting adolescents in the St. Cloud community? 2) What support systems were most helpful to pregnant or parenting adolescents? Once youth become parents, they face many challenges such as dropping out of high school, becoming economically deprived, and lacking emotional support. Eleven pregnant and/or parenting adolescents, ages 15 to 19, were interviewed using a structured interview guide. The interviews focused on assessing the participant\u27s educational achievements, financial stability, self-esteem, level of emotional support and social support networks. Overall the study found that the participants were all working on obtaining their high school diploma or GED certificate. A majority stated their basic needs were being met. All of the youth rated their self-esteem as being quite high. The study also found that approximately 91% of the participants (n=10) explained that their families were emotionally supportive. In exploring their social support systems, participants utilized many programs in the St. Cloud community. However, all of the youth explained how services should be changed to be more effective. A mentoring program may be beneficial to address the needs of pregnant or parenting youth in the St. Cloud who do not have an adequate support syste