Tracing the Dark Matter Sheet in Phase Space

Kavli Affiliate: Ralf Kaehler | Summary:The primordial velocity dispersion of dark matter is small compared to the velocities attained during structure formation. The initial density distribution is close to uniform and it occupies an initial sheet in phase space that is single valued in velocity space. Because of gravitational forces this three dimensional manifold evolves […]


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On G/N-Hilb of N-Hilb

Kavli Affiliate: Yukari Ito | 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 θ-stable representations of the McKay quiver for certain stability condition θ. We provide several explicit examples to illustrate this construction. We also consider […]


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Scale-Dependent Growth from a Transition in Dark Energy Dynamics

Kavli Affiliate: Edmund Bertschinger | Summary:We investigate the observational consequences of the quintessence field rolling to and oscillating near a minimum in its potential, "if" it happens close to the present epoch (z<0.2). We show that in a class of models, the oscillations lead to a rapid growth of the field fluctuations and the gravitational […]


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

Kavli Affiliate: John Belcher | 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 are free of the concepts of differential calculus, in that our solutions only involve the […]


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Duality In Two-Dimensional (2,2) Supersymmetric Non-Abelian Gauge Theories

Kavli Affiliate: Kentaro Hori | Summary:We study the low energy behaviour of N=(2,2) supersymmetric gauge theories in 1+1 dimensions, with orthogonal and symplectic gauge groups and matters in the fundamental representation. We observe supersymmetry breaking in super-Yang-Mills theory and in theories with small numbers of flavors. For larger numbers of flavors, we discover duality between […]


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

Kavli Affiliate: Atsushi Yagishita | 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 path coefficients by intervention. First, we explain that the expectations and variance […]


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Spectroscopic Determination of the Low Redshift Type Ia Supernova Rate from the Sloan Digital Sky Survey

Kavli Affiliate: Mark SubbaRao | Summary:Supernova rates are directly coupled to high mass stellar birth and evolution. As such, they are one of the few direct measures of the history of cosmic stellar evolution. In this paper we describe an probabilistic technique for identifying supernovae within spectroscopic samples of galaxies. We present a study of […]


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Circle-valued Morse theory for complex hyperplane arrangements

Kavli Affiliate: Toshitake Kohno | 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 theory for M and prove, in particular, that M has the […]


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Fermi Gamma-ray Space Telescope: High-Energy Results from the First Year

Kavli Affiliate: Peter Michelson | Summary:The Fermi Gamma-ray Space Telescope (Fermi) was launched on June 11, 2008 and began its first year sky survey on August 11, 2008. The Large Area Telescope (LAT), a wide field-of-view pair-conversion telescope covering the energy range from 20 MeV to more than 300 GeV, is the primary instrument on […]


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