On G/N-Hilb of N-Hilb

Kavli Affiliate: Yukari Ito | First 5 Authors: Akira Ishii, Yukari Ito, Álvaro Nolla de Celis, , | Summary: In this paper we consider the iterated G-equivariant Hilbert scheme G/N-Hilb(N-Hilb) and prove that G/N-Hilb(N-Hilb(C^3)) is a crepant resolution of C^3/G isomorphic to the moduli space of theta-stable representations of the McKay quiver for certain stability […]


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Wide-Field InfraRed Survey Telescope (WFIRST) Interim Report

Kavli Affiliate: Paul Schechter | First 5 Authors: James Green, Paul Schechter, Charles Baltay, Rachel Bean, David Bennett | Summary: In December 2010, NASA created a Science Definition Team (SDT) for WFIRST, the Wide Field Infra-Red Survey Telescope, recommended by the Astro 2010 Decadal Survey as the highest priority for a large space mission. The […]


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The Creation and Propagation of Radiation: Fields Inside and Outside of Sources

Kavli Affiliate: John W. Belcher | First 5 Authors: Stanislaw Olbert, John W. Belcher, Richard H. Price, , | Summary: We present a new algorithm for computing the electromagnetic fields of currents inside and outside of finite current sources, for arbitrary time variations in the currents. Unexpectedly, we find that our solutions for these fields […]


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Correlation functions quantify super-resolution images and estimate apparent clustering due to over-counting

Kavli Affiliate: Barbara Baird | First 5 Authors: Sarah Veatch, Benjamin Machta, Sarah Shelby, Ethan Chiang, David Holowka | Summary: We present an analytical method to quantify clustering in super-resolution localization images of static surfaces in two dimensions. The method also describes how over-counting of labeled molecules contributes to apparent self-clustering and how the effective […]


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Finite Phase-separation FRET II: Determination of domain size from simulated data

Kavli Affiliate: Gerald W. Feigenson | First 5 Authors: Frederick A. Heberle, Gerald W. Feigenson, , , | Summary: We have developed a new model to describe FRET efficiency (E FRET) between freely-diffusing membrane probes in phase-separated bilayers (Finite Phase-separation FRET, or FP-FRET), that in principle applies to any system where phase domain dimensions are […]


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Finite Phase-separation FRET I: A quantitative model valid for bilayer nanodomains

Kavli Affiliate: Gerald W. Feigenson | First 5 Authors: Frederick A. Heberle, Gerald W. Feigenson, , , | Summary: Multicomponent lipid mixtures exhibit complex phase behavior, including coexistence of nanoscopic fluid phases in ternary mixtures mimicking the composition of the outer leaflet of mammalian plasma membrane. The physical mechanisms responsible for the small size of […]


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Limited Perturbation of a DPPC Bilayer by Fluorescent Lipid Probes: A Molecular Dynamics Study

Kavli Affiliate: Gerald W. Feigenson | First 5 Authors: Frederick A. Heberle, David G. Ackerman, Gerald W. Feigenson, , | Summary: The presence and the properties of lipid bilayer nanometer-scale domains might be important for understanding the membranes of living cells. We used molecular dynamics (MD) simulations to investigate perturbations of a small patch of […]


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Application of Mathematical Optimization Procedures to Intervention Effects in Structural Equation Models

Kavli Affiliate: Atsushi Yagishita | First 5 Authors: Kentaro Tanaka, Atsushi Yagishita, Masami Miyakawa, , | Summary: For a given statistical model, it often happens that it is necessary to intervene the model to reduce the variances of the output variables. In structural equation models, this can be done by changing the values of the […]


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Circle-valued Morse theory for complex hyperplane arrangements

Kavli Affiliate: Toshitake Kohno | First 5 Authors: Toshitake Kohno, Andrei Pajitnov, , , | Summary: Let A be an essential complex hyperplane arrangement in an n-dimensional complex vector space V. Let H denote the union of the hyperplanes, and M denote the complement to H in V. We develop the real-valued and circle-valued Morse […]


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Digital Plasmonics

Kavli Affiliate: Kobus Kuipers | First 5 Authors: Bergin Gjonaj, Jochen Aulbach, Patrick M. Johnson, Allard P. Mosk, Kobus Kuipers | Summary: The field of plasmonics offers a route to control light fields with metallic nanostructures through the excitation of Surface Plasmon Polaritons (SPPs). These surface waves, bound to a metal dielectric interface, tightly confine […]


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