Deformation Quantization in Singular Spaces

We present a method of quantizing analytic spaces $X$ immersed in an arbitrary smooth ambient manifold $M$. Remarkably our approach can be applied to singular spaces. We begin by quantizing the cotangent bundle of the manifold $M$. Using a super-manifold framework we modify the Fedosov construction in a way such that the $\star$-product of the functions lifted from the base manifold turns out to be the usual commutative product of smooth functions on $M$. This condition allows us to lift the ideals associated to the analytic spaces on the base manifold to form left (or right) ideals on (\mc{O}_{\Omega^1 M}[[\hbar]],\starl) in a way independent of the choice of generators and leading to a finite set of PDEs defining the functions in the quantum algebra associated to $X$. Some examples are included.Comment: 14 page

Doubling measures, monotonicity, and quasiconformality

We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic doubling measure that is not absolutely continuous with respect to the Lebesgue measure.Comment: 20 pages. Revised to address referee's comment

Inspiration Mining: Intersecting Improbable Connections in a New Landscape of Cultural Reflection and Influence

This article aims to present a critical reflection on the collaborative curatorship of the exhibition “Intersecting Improbable Connections”. It is a transdisciplinary exhibition covering architecture, design, arts, among other fields, and calls for non-linear productive thinking strategies. It explores the intersection of unlikely relationships to inspire memorable visits to museums, and it feeds the Inspædia platform, creating a new landscape of reflection and cultural influence. It advocates a new concept of exhibition curation that minimizes costs (because it does not involve transportation or insurance for the pieces) and is intended to help stimulate creative processes. Based on a selection of content from the participating museums’ permanent exhibitions, duly marked with QR Codes, visitors can access that content that is already available on the Inspædia platform and explore potentially endless connections, without losing contact with the physical object (and vice versa).FCT – Fundação para a Ciência e a Tecnologia, in the scope of the projects SFRH/BPD/98427/2013, UID/EAT/04008/ 2019, and UID/AUR/04026/201

Editorial: Wishful thinking

As a supplement to our lead editorial, the editors of the new journal, Epidemiologic Perspectives & Innovations, provide a partial list of specific analyses and topic areas they would like to see submitted to the journal

Generation of ultrashort electrical pulses in semiconductor waveguides

We report a novel device capable of generating ultrashort electrical pulses on a coplanar waveguide (CPW) by means of optical rectification. The device consists of a completely passive GaAs-based optical waveguide, which is velocity matched to a CPW line. Optical pulses are injected into the device and electrical pulses are collected at the output. Experimental results obtained in the laboratory show the potential of this device for high speed optical-to-electrical conversion

Physico-electrochemical Characterization of Pluripotent Stem Cells during Self-Renewal or Differentiation by a Multi-modal Monitoring System.

Monitoring pluripotent stem cell behaviors (self-renewal and differentiation to specific lineages/phenotypes) is critical for a fundamental understanding of stem cell biology and their translational applications. In this study, a multi-modal stem cell monitoring system was developed to quantitatively characterize physico-electrochemical changes of the cells in real time, in relation to cellular activities during self-renewal or lineage-specific differentiation, in a non-destructive, label-free manner. The system was validated by measuring physical (mass) and electrochemical (impedance) changes in human induced pluripotent stem cells undergoing self-renewal, or subjected to mesendodermal or ectodermal differentiation, and correlating them to morphological (size, shape) and biochemical changes (gene/protein expression). An equivalent circuit model was used to further dissect the electrochemical (resistive and capacitive) contributions of distinctive cellular features. Overall, the combination of the physico-electrochemical measurements and electrical circuit modeling collectively offers a means to longitudinally quantify the states of stem cell self-renewal and differentiation

Low level of virological failure and drug resistance among patients receiving antiretroviral treatment under programme conditions in Maputo, Mozambique

Mexico AIDS Conference 200