The Bohr radius of the nn-dimensional polydisk is equivalent to log⁡nn\sqrt{\frac{\log n}{n}}

We show that the Bohr radius of the polydisk $\mathbb D^n$ behaves asymptotically as $\sqrt{(\log n)/n}$. Our argument is based on a new interpolative approach to the Bohnenblust--Hille inequalities which allows us to prove that the polynomial Bohnenblust--Hille inequality is subexponential.Comment: The introduction was expanded and some misprints correcte

When is the Haar measure a Pietsch measure for nonlinear mappings?

We show that, as in the linear case, the normalized Haar measure on a compact topological group $G$ is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of $C(G)$. This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed

Ballistic transport properties across nonuniform strain barriers in graphene

We study the effect of uniaxial strain on the transmission and the conductivity across a strain-induced barrier in graphene. At variance with conventional studies, which consider sharp barriers, we consider a more realistic, smooth barrier, characterized by a nonuniform, continuous strain profile. Our results are instrumental towards a better understanding of the transport properties in corrugated graphene.Comment: High Press. Res., to appea

A geometric technique to generate lower estimates for the constants in the Bohnenblust--Hille inequalities

The Bohnenblust--Hille (polynomial and multilinear) inequalities were proved in 1931 in order to solve Bohr's absolute convergence problem on Dirichlet series. Since then these inequalities have found applications in various fields of analysis and analytic number theory. The control of the constants involved is crucial for applications, as it became evident in a recent outstanding paper of Defant, Frerick, Ortega-Cerd\'{a}, Ouna\"{\i}es and Seip published in 2011. The present work is devoted to obtain lower estimates for the constants appearing in the Bohnenblust--Hille polynomial inequality and some of its variants. The technique that we introduce for this task is a combination of the Krein--Milman Theorem with a description of the geometry of the unit ball of polynomial spaces on $\ell^2_\infty$.Comment: This preprint does no longer exist as a single manuscript. It is now part of the preprint entitled "The optimal asymptotic hypercontractivity constant of the real polynomial Bohnenblust-Hille inequality is 2" (arXiv reference 1209.4632

Campus & alumni news

Boston University Medicine was published by the Boston University Medical Campus, and presented stories on events and topics of interest to members of the BU Medical Campus community. It followed the discontinued publication Centerscope as Boston University Medicine from 1991-2005, and was continued as Campus & Alumni News from 2006-2013 before returning to the title Boston University Medicine from 2014-present

Leadership Practices That Support Marginalized Students: Culturally Responsive Discipline for African American, Hispanic, and Latinx Students

Thesis advisor: Lauri JohnsonTraditionally, schools have suspended students of color at significantly higher rates than White students. Culturally responsive classroom practices have been found to reduce these disparities. This exploratory case study examined whether or not teachers with low discipline referrals for African American and Hispanic/Latinx students from a midsized urban Massachusetts district report using culturally responsive discipline practices, and how their principal fosters these practices. It was part of a larger group study that examined how school and district leaders support marginalized students. Data was collected over a four-month period using semi-structured interviews with two principals and nine teachers in two schools. Interview questions were based on the Double-Check Framework (Hershfeldt etl al., 2009) which identifies culturally responsive discipline practices. Data showed that teachers with low office discipline referrals might embrace culturally responsive practices, at least to a limited degree. Additionally, while principals reported that they provided culturally responsive professional learning activities for teachers, teachers interviewed did not attribute their practices to these efforts. Results suggest that school leaders should cultivate positive relationships between students and staff to reduce discipline disparities.Thesis (EdD) — Boston College, 2020.Submitted to: Boston College. Lynch School of Education.Discipline: Educational Leadership and Higher Education

Consistent Inconsistency: CERCLA Private Cost Recovery Actions and the Community Relations Requirement

The Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA) provides private parties with the right to recover their cleanup costs from third parties responsible for contaminating sites with hazardous waste. To do so, plaintiffs must show that their response costs are consistent with the National Contingency Plan (NCP), which establishes procedures and standards for hazardous waste cleanup. Courts presently diverge regarding the NCP community relations requirement. Some courts find that private parties satisfy these public participation provisions by working with a government agency. Other courts bold that private parties cannot recover their cleanup costs without providing the public with an opportunity to comment. This Comment examines CERCLA and the NCP community relations requirement, and argues that courts must recognize that public participation, which involves highly localized and distinct community concerns, is crucial to the attainment of a CERCLA-quality cleanup. Therefore, private parties must provide an opportunity for public participation to recover their cleanup costs under the NCP

Associations Between Emotional Regulation, Risk Taking, and College Adaptation

Emotional regulation can be best defined as a socially acceptable emotional response to experiences and circumstances of the everyday human experience. Emotional regulation (ER) plays a major role in handling stress, adaptively, in the collegiate lifestyle. This research examined the associations between emotional regulation, risk-taking, and college adaptation among 96 students at a mid-sized university in Colorado. The online-surveying website included five different measures of emotional regulation, college adaptation, and risk-taking. Results showed difficulties with emotional regulation positively correlate more with expressive suppression and negatively correlated with cognitive reappraisal. The adaptive strategy of cognitive reappraisal had a positive relationship with college adaptation, while ER difficulties negatively predicted college adjustment. Ethical risk taking was negatively correlated with college adaptation but was not found to be a mediating variable between ER and college adaptation. Future research should continue to examine the associations among these constructs to inform interventions that can facilitate a healthy transition and adaptation to college