Dirichlet to Neumann Maps for Infinite Quantum Graphs

The Dirichlet problem and Dirichlet to Neumann map are analyzed for elliptic equations on a large collection of infinite quantum graphs. For a dense set of continuous functions on the graph boundary, the Dirichlet to Neumann map has values in the Radon measures on the graph boundary

Community Use of the Sacred Heart School

In October 2005, the Edmonton Social Planning Council (ESPC) released a report entitled The Sacred Heart Collective: An Effective Use of a Closed School? which evaluated the unique initiative implemented by the Sacred Heart Collective (the Collective), a group of seven non-profits located in the former Sacred Heart School. In agreement with Edmonton Catholic Schools, the Collective sought to provide free access to meeting and recreational space located in the school to other non-profits and local community groups.The following is a follow-up to the October 2005 report, and details usage of the Sacred Heart facilities for a six month period, from August 2005 to end of January 2006

Critical race theory in a swedish context

Race has been a term avoided in the Swedish debates, while at the same time, protections with respect to unlawful discrimination on the basis of race or ethnic origins have not been vigilantly upheld by the courts. This paper looks at the treatment of race by the Swedish legislature, as well as the treatment by the courts, specifically the Labour Court, with respect to claims of unlawful discrimination in employment on the basis of ethnic origins, against the background of Critical Race Theory. The disparities between the intent of the legislature and the outcome of the cases brought to the Swedish courts can be in least in part explained through the lens of Critical Race Theory, particularly with respect to the liberal approach taken by the courts when applying the law

Myopic Models of Population Dynamics on Infinite Networks

Reaction-diffusion equations are treated on infinite networks using semigroup methods. To blend high fidelity local analysis with coarse remote modeling, initial data and solutions come from a uniformly closed algebra generated by functions which are flat at infinity. The algebra is associated with a compactification of the network which facilitates the description of spatial asymptotics. Diffusive effects disappear at infinity, greatly simplifying the remote dynamics. Accelerated diffusion models with conventional eigenfunctions expansions are constructed to provide opportunities for finite dimensional approximation.Comment: 36 pages. arXiv admin note: text overlap with arXiv:1109.313

Fluctuation assisted spreading of a fluid filled elastic blister

In this theoretical and numerical study, we show how spatially extended fluctuations can influence and dominate the dynamics of a fluid filled elastic blister as is deforms onto a pre-wetted solid substrate. To describe the blister dynamics, we develop a stochastic elastohydrodynamic framework that couples the viscous flow, the elastic bending of the interface and the noise from the environment. We deploy a scaling analysis to find the elastohydrodynamic spreading law $\hat R\sim {\hat t}^{1/11}$ a direct analogue to the capillary spreading of drops, while the inclusion of noise in our model highlights that the dynamics speed-up significantly $\hat R\sim {\hat t}^{1/6}$ as local changes in curvature enhance the peeling of the elastic interface from the substrate. Moreover, our analysis identifies a distinct criterion for the transition between the deterministic and stochastic spreading regime, which is further illustrated by numerical simulations

How Parents Influence Deviant Behavior among Adolescents: An Analysis of their Family Life, Community, and Peers

The goal of this literature review is to analyze the effect the family has on an adolescent’s behavior. It is believed that parents have direct and indirect control. Previous research has found that parents directly influence their childrens behavior through the parenting techniques utilized. Parental support is the largest influence on creating preferable behavior in adolescents. Along with the direct influence from parents, the parents have indirect control over the community through which the adolescents lives in and socializes with peers in. Adolescents require strong bonds in their community. Through these bonds, adolescents are watched over and other families reciprocate the actions. When these conditions are not provided an up-rise in juvenile crime may overtake the community. Adolescents learn greatly from their peers. The family has an indirect control over peers through community watch and their parenting techniques; teaching the child not to succumb to peer pressure. This information is vital due to the presence of juveniles in the criminal justice system