This paper explored a new approach regarding social vulnerability to climate change, and measured social vulnerability in three parts: (1) choosing relevant indicators of social vulnerability to climate change; (2) based on the Hazard Vulnerability Similarity Index (HVSI), our method provided a procedure to choose the referenced community objectively; and (3) ranked social vulnerability, exposu...

Group membership regulation is a useful mechanism for multicast congestion control: RLM, RLC, FLID-DL, and WEBRC form a promising line of multi-group protocols where receivers provide no feedback to the sender but control congestion via group subscription. Unfortunately, the group subscription mechanism also offers receivers an opportunity to elicit self-beneficial bandwidth allocations. In par...

A saddle point variational (SPV ) method was applied to the Dirac equation as an example of a fully relativistic equation with both negative and positive energy solutions. The effect of the negative energy states was mitigated by maximizing the energy with respect to a relevant parameter while at the same time minimizing it with respect to another parameter in the wave function. The Cornell pot...

We prove that the massless Dirac operator in R with long-range potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrix-valued potentials are considered as well.

In the present paper, we start the journey of investigation into fully nonlinear elliptic singular equations of the form F (D2u, x) = βε(uε), where βε(uε) converges to the Dirac delta measure δ0. We show optimal regularity, uniform in ε, as well as H1 compactness for Bellman’s singular equations. We also provide a complete picture of limiting one-dimensional profiles. The study of further geome...

The utility function u is then extended to a utility function G(u) on G(A)×Θ by assigning each pair (λ, θ) the expectation of the random variable uθ under the measure λ, i.e. Eλ [ uθ ] . Every pure action a ∈ A then can uniquely be identified with the Dirac-measure δa ∈ G(A) and we have u(a, θ) = G(u)(δa, θ) for all (a, θ) ∈ A × Θ. Further, also (1) can easily be extended to randomized actions ...

This paper addresses the problem of choosing the optimal number of basis functions in constructing wavelet series density estimators. It is well known that projection estimators tend to overrt the density if the number of basis functions in the orthogonal expansion is too large. In extreme cases the estimator is close to the Dirac function concentrated at the observations. We propose a roughnes...

Understanding the modification of the graphene's electronic structure upon doping is crucial for enlarging its potential applications. We present a study of nitrogen-doped graphene samples on SiC(000) combining angle-resolved photoelectron spectroscopy, scanning tunneling microscopy and spectroscopy and X-ray photoelectron spectroscopy (XPS). The comparison between tunneling and angle-resolved ...

where the component measure μ is Lebesgue supported on [t,t+1] for t∈ℚ∖{-1 2} and δ 0 Dirac at 0. We prove that ρ a spectral if only t∈1 2ℤ. In this case, L 2 (ρ) has unique orthonormal basis of form

This paper is the first of a series where we study spectral properties Dirac operators with Coulomb potential generated by any finite signed charge distribution ?. We show here that operator has unique distinguished self-adjoint extension under sole condition ? no atom weight larger than or equal to one. Then discuss case positive measure and characterize domain using quadratic form associated ...