Extensions of real bounded symmetric domains

For a real bounded symmetric domain, G/K, we construct various natural enlargements to which several aspects of harmonic analysis on G/K and G have extensions. Our starting point is the realization of G/K as a totally real submanifold in a bounded domain G_h/K_h. We describe the boundary orbits and relate them to the boundary orbits of G_h/K_h. We relate the crown and the split-holomorphic crown of G/K to the crown \Xi_h of G_h/K_h. We identify an extension of a representation of K to a larger group L_c and use that to extend sections of vector bundles over the Borel compactification of G/K to its closure. Also, we show there is an analytic extension of K-finite matrix coefficients of G to a specific Matsuki cycle space.Comment: To appear in JF

The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type

The heat kernel or Bargmann-Segal transform on a noncompact Riemannian symmetric space X=G/K maps a square integrable function on X to a holomorphic function on the complex crown. In this article we determine the range of this transform.Comment: Expanded version. Two new sections added in order to clarify two remarks in the previous verson. 15

Pyrovskite: A software package for the high throughput construction, analysis, and featurization of two- and three-dimensional perovskite systems

The increased computational and experimental interest in perovskite systems comprising novel phases and reduced dimensionality has greatly expanded the search space for this class of materials. In similar fields, unified frameworks exist for the procedural generation and subsequent analysis of these complex condensed matter systems. Given the relatively recent rise in popularity of these novel perovskite phases, such a framework has yet to be created. In this work, we introduce Pyrovskite, an open source software package to aid in both the high-throughput and fine-grained generation, simulation, and subsequent analysis of this expanded family of perovskite systems. Additionally we introduce a new descriptor for octahedral distortions in systems including but not limited to perovskites. This descriptor quantifies diagonal displacements of the B-site cation in a BX$_6$ octahedral coordination environment, which has been shown to contribute to increased Rashba-Dresselhaus splitting in perovskite systems.Comment: 8 pages, 4 figure

Technical Review of Law Enforcement Standards and Guides Relative to Incident Management

In an effort to locate potential law enforcement-related standards that support incident management, a team from the Pacific Northwest National Laboratory (PNNL) contacted representatives from the National Institute of Standards-Office of Law Enforcement Standards (NIST-OLES), National Institute of Justice (NIJ), Federal Bureau of Investigation (FBI), Secret Service, ASTM International committees that have a law enforcement focus, and a variety of individuals from local and regional law enforcement organizations. Discussions were held with various state and local law enforcement organizations. The NIJ has published several specific equipment-related law enforcement standards that were included in the review, but it appears that law enforcement program and process-type standards are developed principally by organizations that operate at the state and local level. Input is provided from state regulations and codes and from external non-government organizations (NGOs) that provide national standards. The standards that are adopted from external organizations or developed independently by state authorities are available for use by local law enforcement agencies on a voluntary basis. The extent to which they are used depends on the respective jurisdictions involved. In some instances, use of state and local disseminated standards is mandatory, but in most cases, use is voluntary. Usually, the extent to which these standards are used appears to depend on whether or not jurisdictions receive certification from a “governing” entity due to their use and compliance with the standards. In some cases, these certification-based standards are used in principal but without certification or other compliance monitoring. In general, these standards appear to be routinely used for qualification, selection for employment, and training. In these standards, the term “Peace Officer” is frequently used to refer to law enforcement personnel. This technical review of national law enforcement standards and guides identified the following four guides as having content that supports incident management: • TE-02-02 Guide to Radio Communications Interoperability Strategies and Products • OSHA 335-10N Preparing and Protecting Security Personnel in Emergencies • NIJ 181584 Fire and Arson Scene Evidence: A Guide for Public Safety Personnel • NIJ 181869 A Guide for Explosion and Bombing Scene Investigation In conversations with various state and local law enforcement officials, it was determined that the following National Fire Protection Association (NPFA) standards are generally recognized and tend to be universally used by law enforcement organizations across the country: • NFPA 1600 Standard on Disaster/Emergency Management and Business Continuity Programs • NFPA 1561 Standard on Fire Department Incident Management Systems • NFPA 472 Standard for Competence of Responders to Hazardous Materials/Weapons of Mass Destruction Incidents (2008 Edition) • NFPA 473 Standard for Competencies for EMS Personnel Responding to Hazardous Materials/Weapons of Mass Destruction Incidents (2008 Edition

Lunar lander conceptual design

A conceptual design is presented of a Lunar Lander, which can be the primary vehicle to transport the equipment necessary to establish a surface lunar base, the crew that will man the base, and the raw materials which the Lunar Station will process. A Lunar Lander will be needed to operate in the regime between the lunar surface and low lunar orbit (LLO), up to 200 km. This lander is intended for the establishment and operation of a manned surface base on the moon and for the support of the Lunar Space Station. The lander will be able to fulfill the requirements of 3 basic missions: A mission dedicated to delivering maximum payload for setting up the initial lunar base; Multiple missions between LLO and lunar surface dedicated to crew rotation; and Multiple missions dedicated to cargo shipments within the regime of lunar surface and LLO. A complete set of structural specifications is given