Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds

The main purpose of this monograph is to give an elementary and self-contained account of the existence of asymptotically hyperbolic Einstein metrics with prescribed conformal infinities sufficiently close to that of a given asymptotically hyperbolic Einstein metric with nonpositive curvature. The proof is based on an elementary derivation of sharp Fredholm theorems for self-adjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds.Comment: Latex; 83 + vi pages. Fixed an error in the proof of Lemma 3.7(b

Contactless pellet fabrication

A small object is coated by holding it in the pressure well of an acoustic standing wave pattern, and then applying a mist of liquid coating material at low velocity into the pressure well. The pressure gradient within the well forces the mist particles to be pushed against the object. A lower frequency acoustic wave also can be applied to the coated object, to vibrate it so as to evenly distribute the coated material. The same lower frequency vibrations can be applied to an object in the shape of a hollow sphere, to center the inner and outer surfaces of the sphere while it remains suspended

Mission Santa Clara in a Changing Urban Environment

Since its secularization in the 1830s, Mission Santa Clara de Asís and its associated grounds have seen major transformations. These changes include the gradual abandonment of the mission by its native inhabitants, the Californio and early Anglo-American use of mission structures, as well as the founding and growth of Santa Clara College (now Santa Clara University) and the City of Santa Clara. Through the analysis of historic maps, photographs, and archaeological findings, this paper provides an overview of the far-reaching physical changes that have fundamentally altered the original mission-era landscape, including the mission churches, cemeteries, and neophyte village. Information is drawn from historical and archaeological investigations into the lives of Native Americans at Mission Santa Clara, as well as an ongoing project I am conducting with undergraduate students and faculty from the departments of Anthropology and Environmental Studies and Sciences to record historic structures and other features in a geographic information system, or GIS. The massive scale of landscape changes over the past two centuries provide important context from which to consider the implications of future development on the preservation and study of the physical remnants of Mission Santa Clara

New York Oneida: Land Claims, Federal Policies, State Intervention, and Casino Development

This paper examined the relationship between Oneida land sovereignty and their self-determination in establishing the Turning Stone Casino. The paper reviewed general trends in Oneida history with the state of New York, focusing on federal policies aimed at American Indian communities, and the legal cases that the Oneida have brought against New York and the federal government. The study extrapolated that historic cases involving political, legal, and land sovereignty issues prepared them for the fight over their casino’s admittance on Oneida land. The paper then addressed the reoccurring battles with the state of New York over the legality and jurisdiction of gaming procedures and financial oversight

Device-independent certification of non-classical joint measurements via causal models

Quantum measurements are crucial for quantum technologies and give rise to some of the most classically counter-intuitive quantum phenomena. As such, the ability to certify the presence of genuinely non-classical joint measurements in a device-independent fashion is vital. However, previous work has either been non-device-independent, or has relied on post-selection---the ability to discard all runs of an experiment in which a specific event did not occur. In the case of entanglement, the post-selection approach applies an entangled measurement to independent states and post-selects the outcome, inducing non-classical correlations between the states that can be device-independently certified using a Bell inequality. That is, it certifies measurement non-classicality not by what it is, but by what it does. This paper remedies this discrepancy by providing a novel notion of what measurement non-classicality is, which, in analogy with Bell's theorem, corresponds to measurement statistics being incompatible with an underlying classical causal model. It is shown that this provides a more fine-grained notion of non-classicality than post-selection, as it certifies the presence of non-classicality that cannot be revealed by examining post-selected outcomes alone.Comment: v3: updated in response to referee feedback. Close to published version. 6 pages, 3 figures. v2: fixed typo in statement of Result 1 (missing minus sign

Beta-Testing the “Particular Machine”: The Machine-or-Transformation Test in Peril and Its Impact on Cloud Computing

This Issue Brief examines recent cases addressing the patent eligibility of computer-implemented method claims and their implications for the development of cloud computing technologies. Despite the Supreme Court’s refusal to endorse the machine-or-transformation test as the exclusive patent eligibility inquiry, lower courts have continued to invalidate method claims using a stringent “particular machine” requirement alongside the requisite abstract ideas analysis. This Issue Brief argues that 1) post-Bilski v. Kappos cases have failed to elucidate what constitutes a particular machine for computer-implemented methods; 2) in light of substantial variance among Federal Circuit judges’ Section 101 jurisprudence, the application of the particular machine requirement has become subject to a high degree of panel-dependency, such that its relevance for analyzing software method claims has come under question; 3) notwithstanding the unease expressed by practitioners and scholars for the future of cloud computing patents, the courts’ hardening stance toward computer-implemented method claims will do little to deter patenting in the cloud computing context. Instead, clouds delivering platform and software services will remain capable of satisfying the particular machine requirement and supporting patent eligibility, especially given the possible dilution of the particular machine requirement itself

Apparatus for production of ultrapure amorphous metals utilizing acoustic cooling

Amorphous metals are produced by forming a molten unit of metal and deploying the unit into a bidirectional acoustical levitating field or by dropping the unit through a spheroidizing zone, a slow quenching zone, and a fast quenching zone in which the sphere is rapidly cooled by a bidirectional jet stream created in the standing acoustic wave field produced between a half cylindrical acoustic driver and a focal reflector or a curved driver and a reflector. The cooling rate can be further augmented first by a cryogenic liquid collar and secondly by a cryogenic liquid jacket surrounding a drop tower. The molten unit is quenched to an amorphous solid which can survive impact in a unit collector or is retrieved by a vacuum chuck

Comment on “Contingent Persistence: Continuity, Change, and Identity inthe Romanization Debate” by Lara Ghisleni

Ghisleni adds an additional voice to the growing chorus of archaeologists dissatisfied with conventional approaches to understanding the material evidence for intercultural entanglements. Particularly troublesome in this regard is the stubborn idea that continuity and change are two mutually exclusive trajectories initiated at the moment of contact. Such formulations lead to a priori assumptions about material culture that limit the ability of archaeologists to trace the complex relationships resulting from such encounters. In seeking to break down the dichotomous thinking that has pervaded the archaeological study of the Roman Empire and its local instantiations, Ghisleni offers an alternative that treats continuity not as the simple replication of earlier practices but as both contingent and emergent. In other words, continuity is structured by the past, but the path taken ultimately reflects only one of many possible ways forward. Seeing continuity and change as mutually constitutive directs archaeologists away from teleological narratives and toward amore temporally sensitive method for understanding the complexities of identity and practice