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

A continuum model for entangled fibres

Motivated by the study of fibre dynamics in the carding machine, a continuum model for the motion of a medium composed of fibres is derived under the assumption that the dominant forces are due to fibre-fibre interactions and that the material is in tension. To characterise the material we include the averaged values of density and velocity and introduce variables to describe the mean direction, alignment and entanglement. We assume that the bulk stress of the material depends on the density, entanglement, degree of alignment, average direction and shear-rates. A kinematic equation for the average direction and two proposed heuristic laws for the evolution of entanglement and degree of alignment are given to close the system. Extensional and shearing simulations are in good qualitative agreement with experimental results

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

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