Suitability of Capital Allocations for Performance Measurement

Capital allocation principles are used in various contexts in which a risk capital or a cost of an aggregate position has to be allocated among its constituent parts. We study capital allocation principles in a performance measurement framework. We introduce the notation of suitability of allocations for performance measurement and show under different assumptions on the involved reward and risk measures that there exist suitable allocation methods. The existence of certain suitable allocation principles generally is given under rather strict assumptions on the underlying risk measure. Therefore we show, with a reformulated definition of suitability and in a slightly modified setting, that there is a known suitable allocation principle that does not require any properties of the underlying risk measure. Additionally we extend a previous characterization result from the literature from a mean-risk to a reward-risk setting. Formulations of this theory are also possible in a game theoretic setting

Correction of balloon X-ray astronomy data for the effects of atmospheric attenuation, K X-ray escape, and energy resolution

Correction of balloon X ray astronomy data for atmospheric attenuation, escape, and energy resolutio

Time evolution of open quantum many-body systems

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational principle for its nonequilibrium steady state. We successfully apply our variational method to study dissipative Rydberg gases, finding excellent quantitative agreement with small-scale simulations of the full quantum master equation. We observe that correlations related to non-Markovian behavior play a significant role during the relaxation dynamics towards the steady state. We further quantify this non-Markovianity and find it to be closely connected to an information-theoretical measure of quantum and classical correlations.Comment: 5+3 pages, 8 figure

The Vascular Flora of Garrard County, Kentucky

Garrard County, Kentucky, was the subject of a floristic study conducted from 2010 to 2013. The study documented 961 species in 494 genera and 137 families. Garrard County encompasses 60,570 hectares in central Kentucky and includes parts of both the Bluegrass Section and the Knobs-Norman Upland of the Interior Low Plateaus. Permitted collecting at The Felix Reynolds Prairie, The Nature Conservancy\u27s Sally Brown and Crutcher Preserve, Tom Dorman State Nature Preserve, and Maywoods Environmental and Educational Laboratory was coordinated with state and private conservation agencies. Two plant communities known to occur in the county, Limestone/Dolomite Prairie and Bluegrass Mesophytic Cane Forest, are listed as Endangered in Kentucky. Other plant communities are described and compared with previous vegetation studies of the Bluegrass and Knobs. Sixteen state-listed species were documented in the county, including a Historical species, four Endangered, five Threatened, and six Special Concern. About 18% of the flora is non-native, and 95 of these species are listed as Severe, Significant, or Moderate Threats, or Watch List. Habitat loss and invasive species continue to degrade rare plant community remnants and populations of rare plants. Applications of baseline floristic inventories can be used in assessing conservation priorities for landscape preservation in Kentucky

No Match for the Police: An Analysis of Miranda\u27s Problematic Application to Juvenile Defendants

In Fare v. Michael C. and Yarborough v. Alvarado, the Supreme Court affirmed the use of adult standards in determining whether a juvenile is under custodial interrogation and whether the juvenile has knowingly and intelligently waived her Miranda rights. Due to differences in juvenile cognition, young people\u27s limited comprehension of the words and substance of the Miranda rights, and their vulnerability to police interrogation techniques, I argue in this note that states should go beyond the baseline established by the Supreme Court, as some have already, to offer juvenile suspects increased protection during a custodial interrogation. This note examines the development of Supreme Court jurisprudence surrounding juvenile confessions and contrasts the approaches taken in various states to the application of Miranda to juvenile defendants. In framing my argument for the increased protection of juvenile defendants during an interrogation, this note draws on psychological studies evaluating juveniles\u27 comprehension of the Miranda warnings and their unique susceptibility to police interrogation techniques