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Hydrogen and the Abundances of Elements in Gradual Solar Energetic-Particle EventsFeb 08 2019Despite its dominance, hydrogen has been largely ignored in studies of the abundance patterns of the chemical elements in gradual solar energetic-particle (SEP) events; those neglected abundances show a surprising new pattern of behavior. Abundance enhancements ... More

Element Abundances and Source Plasma Temperatures of Solar Energetic ParticlesNov 30 2016Thirty years ago Breneman and Stone observed that the enhancement or suppression of element abundances in large solar energetic-particle (SEP) events varies as a power of the mass-to-charge ratio, A/Q, of the elements. Since Q during acceleration or transport ... More

Element Abundances in Solar Energetic Particles and the Solar CoronaJun 10 2013This is a study of abundances of the elements He, C, N, O, Ne, Mg, Si, S, Ar, Ca, and Fe in solar energetic particles (SEPs) in the 2 - 15 MeV amu-1 region measured on the Wind spacecraft during 54 large SEP events occurring between November 1994 and ... More

The "FIP Effect" and the Origins of Solar Energetic Particles and of the Solar WindJan 17 2018We find that the element abundances in solar energetic particles (SEPs) and in the slow solar wind (SSW), relative to those in the photosphere, show different patterns as a function of the first ionization potential (FIP) of the elements. Generally, the ... More

Hydrogen and the Abundances of Elements in Impulsive Solar Energetic-Particle EventsJan 14 2019Mar 07 2019Hydrogen has been almost completely ignored in studies of the abundance patterns of the chemical elements in solar energetic particles (SEPs). We seek to find impulsive events where H fits these abundance patterns and document the events that do not, ... More

The Origin of Element Abundance Variations in Solar Energetic ParticlesMar 20 2016Jul 21 2016Abundance enhancements, during acceleration and transport in both gradual and impulsive solar energetic particle (SEP) events, vary approximately as power laws in the mass-to-charge ratio [A/Q] of the ions. Since the Q-values depend upon the electron ... More

Hydrogen and the Abundances of Elements in Impulsive Solar Energetic-Particle EventsJan 14 2019Hydrogen has been almost completely ignored in studies of the abundance patterns of the chemical elements in solar energetic particles (SEPs). We seek to find impulsive events where H fits these abundance patterns and document the events that do not, ... More

Helium Suppression in Impulsive Solar Energetic-Particle EventsDec 04 2018Feb 20 2019We have studied the element abundances and energy spectra of the small "He-poor" impulsive solar energetic-particle (SEP) events, comparing them with other impulsive SEP events with more-normal abundances of He. He-poor events can have abundances as low ... More

Element abundances in solar energetic particles: two physical processes, two abundance patternsJan 03 2015Abundances of elements comprising solar energetic particles (SEPs) come with two very different patterns. Historically called "impulsive" and "gradual" events, they have been studied for 40 years, 20 years by the Wind spacecraft. Gradual SEP events measure ... More

Element Abundances and Source Plasma Temperatures of Solar Energetic ParticlesNov 30 2016Dec 05 2016Thirty years ago Breneman and Stone observed that the enhancement or suppression of element abundances in large solar energetic-particle (SEP) events varies as a power of the mass-to-charge ratio, A/Q, of the elements. Since Q during acceleration or transport ... More

The Streaming Limit of Solar Energetic-Particle IntensitiesDec 06 2014As solar energetic particles (SEPs) stream outward along the interplanetary magnetic field after acceleration by shock waves near the Sun, their intensities are limited by scattering against self-generated Alfv\'en waves, trapping the particles near their ... More

Variations in Abundance Enhancements in Impulsive Solar Energetic-Particle Events and Related CMEs and FlaresJul 29 2014We study event-to-event variations in the abundance enhancements of the elements He through Pb for Fe-rich impulsive solar energetic-particle (SEP) events, and their relationship with properties of associated coronal mass ejections (CMEs) and solar flares. ... More

Abundance Enhancements in Impulsive Solar Energetic-Particle Events with Associated Coronal Mass EjectionsApr 12 2014We study the abundances of the elements He through Pb in Fe-rich impulsive solar energetic-particle (SEP) events with measurable abundances of ions with atomic number Z>2 observed on the Wind spacecraft, and their relationship with coronal mass ejections ... More

Temperature of the Source Plasma for Impulsive Solar Energetic ParticlesMay 11 2015The steep power-law dependence of element abundance enhancements on the mass-to-charge ratios [A/Q] of the ions in impulsive solar energetic-particle (SEP) events causes these enhancements to reflect the temperature-dependent pattern of Q of the ions ... More

Coronal Sources of Impulsive Fe-Rich Solar Energetic Particle EventsSep 30 2015We review recent work on 111 Fe-rich impulsive solar energetic ($\sim$ 3 MeV/nuc) particle (SEP) events observed from 1994 to 2013. Strong elemental abundance enhancements scale with A/Q, the ion mass-to-charge ratio, as (A/Q)$^{\alpha}$, where 2 $< \alpha ... More

Rapid Rotation in the Kepler Field: Not a Single Star PhenomenonSep 06 2018Feb 05 2019Tens of thousands of rotation periods have been measured in the Kepler fields, including a substantial fraction of rapid rotators. We use Gaia parallaxes to distinguish photometric binaries (PBs) from single stars on the unevolved lower main sequence, ... More

Evaluating Effectiveness of DART Buoy NetworksJul 10 2016A performance measure for a DART tsunami buoy network has been developed. The measure is based on a statistical analysis of simulated forecasts of wave heights outside an impact site and how much the forecasts are degraded in accuracy when one or more ... More

Neutral interstellar helium parameters based on Ulysses/GAS and IBEX-Lo observations: what are the reasons for the differences?Mar 12 2014May 19 2014Recent analysis of the interstellar helium fluxes measured in 2009-2010 at Earth orbit by the Interstellar Boundary Explorer (IBEX) has suggested that the interstellar velocity (both direction and magnitude) is inconsistent with that derived previously ... More

Infinitesimal Hom-bialgebras and Hom-Lie bialgebrasJan 27 2010We study the Hom-type generalization of infinitesimal bialgebras, called infinitesimal Hom-bialgebras. In particular, we consider infinitesimal Hom-bialgebras arising from quivers, the sub-classes of coboundary and quasi-triangular infinitesimal Hom-bialgebras, ... More

Exponential equilibration by slow cooling in the planar random-anisotropy magnet: experiments and simulationsJul 22 2008Neutron measurements of the equilibration of the staggered magnetization in DyAs(0.35)V(0.65)O4 are compared with Monte Carlo simulations of spin dynamics in a planar random-anisotropy magnet. The simulation results are in agreement with striking observed ... More

Maps to spaces in the genus of infinite quaternionic projective spaceSep 04 2002Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the ... More

Hom-algebras and homologyDec 20 2007Aug 06 2009Classes of $G$-Hom-associative algebras are constructed as deformations of $G$-associative algebras along algebra endomorphisms. As special cases, we obtain Hom-associative and Hom-Lie algebras as deformations of associative and Lie algebras, respectively, ... More

(Co)homology of triassociative algebrasApr 07 2006We study homology and cohomology of triassociative algebras with non-trivial coefficients.

Module Hom-algebrasDec 26 2008We study a twisted version of module algebras called module Hom-algebras. It is shown that module algebras deform into module Hom-algebras via endomorphisms. As an example, we construct certain q-deformations of the usual sl(2)-action on the affine plane. ... More

Cohomology and deformation of module-algebrasJul 12 2006An algebraic deformation theory of module-algebras over a bialgebra is constructed. The cases of module-coalgebras, comodule-algebras, and comodule-coalgebras are also considered.

Hom-Novikov algebrasSep 03 2009Jan 12 2011We study a twisted generalization of Novikov algebras, called Hom-Novikov algebras, in which the two defining identities are twisted by a linear map. It is shown that Hom-Novikov algebras can be obtained from Novikov algebras by twisting along any algebra ... More

Hom-quantum groups III: Representations and module Hom-algebrasNov 28 2009We study Hom-quantum groups, their representations, and module Hom-algebras. Two Twisting Principles for Hom-type algebras are formulated, and construction results are proved following these Twisting Principles. Examples include Hom-quantum n-spaces, ... More

Hom-Yang-Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebrasMar 03 2009We study a twisted version of the Yang-Baxter Equation, called the Hom-Yang-Baxter Equation (HYBE), which is motivated by Hom-Lie algebras. Three classes of solutions of the HYBE are constructed, one from Hom-Lie algebras and the others from Drinfeld's ... More

Infinity Operads and Monoidal Categories with Group EquivarianceMar 09 2019This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the ... More

Higher dimensional algebras via colored PROPsSep 12 2008Starting from any unital colored PROP $P$, we define a category $P(P)$ of shapes called $P$-propertopes. Presheaves on $P(P)$ are called $P$-propertopic sets. For $0 \leq n \leq \infty$ we define and study $n$-time categorified $P$-algebras as $P$-propertopic ... More

The classical Hom-Yang-Baxter equation and Hom-Lie bialgebrasMay 12 2009Motivated by recent work on Hom-Lie algebras and the Hom-Yang-Baxter equation, we introduce a twisted generalization of the classical Yang-Baxter equation (CYBE), called the classical Hom-Yang-Baxter equation (CHYBE). We show how an arbitrary solution ... More

Hom-quantum groups II: cobraided Hom-bialgebras and Hom-quantum geometryJul 10 2009A class of non-associative and non-coassociative generalizations of cobraided bialgebras, called cobraided Hom-bialgebras, is introduced. The non-(co)associativity in a cobraided Hom-bialgebra is controlled by a twisting map. Several methods for constructing ... More

Deformation of algebras over the Landweber-Novikov algebraJan 28 2005Feb 19 2006An algebraic deformation theory of algebras over the Landweber-Novikov algebra is obtained.

Deformation bicomplex of module-algebrasJul 24 2007The deformation bicomplex of a module-algebra over a bialgebra is constructed. It is then applied to study algebraic deformations in which both the module structure and the algebra structure are deformed. The cases of module-coalgebras, comodule-(co)algebras, ... More

On lambda-rings and topological realizationJan 28 2005It is shown that most possibly truncated power series rings admit uncountably many filtered lambda-ring structures. The question of how many of these filtered lambda-ring structures are topologically realizable by the K-theory of torsionfree spaces is ... More

On adic genus, Postnikov conjugates, and lambda-ringsMay 24 2001Sufficient conditions on a space are given which guarantee that the $K$-theory ring and the ordinary cohomology ring with coefficients over a principal ideal domain are invariants of, respectively, the adic genus and the SNT set. An independent proof ... More

Existence of primitive polynomials with three coefficients prescribedMay 27 2003We demonstrate, using character sum arguments, the existence of primitive polynomials of degree n over a finite field GF(q) with the coefficients for x^(n-1), x^(n-2), and x^(n-3) prescribed, so long as char(GF(q)) is at least 5 and n is at least 9. The ... More

Moduli space of filtered lambda-ring structures over a filtered ringSep 04 2002Motivated by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered $\lambda$-ring structures over a filtered ring from a purely algebraic point of view. From a global perspective, we first show that this ... More

The Hom-Yang-Baxter equation and Hom-Lie algebrasMay 12 2009Feb 17 2011Motivated by recent work on Hom-Lie algebras, a twisted version of the Yang-Baxter equation, called the Hom-Yang-Baxter equation (HYBE), was introduced by the author in an earlier paper. In this paper, several more classes of solutions of the HYBE are ... More

Clapp-Puppe Type Lusternik-Schnirelmann (Co)category in a Model CategoryApr 27 2001We introduce Clapp-Puppe type generalized Lusternik-Schnirelmann (co)category in a Quillen model category. We establish some of their basic properties and give various characterizations of them. As the first application of these characterizations, we ... More

A lower bound for higher topological complexity of real projective spaceSep 13 2017Sep 19 2017We obtain an explicit formula for the best lower bound for the higher topological complexity, TC_k(P^n), of real projective space implied by mod 2 cohomology.

Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency TablesAug 09 2017Nov 20 2017We consider the lattice, $\mathcal{L}$, of all subsets of a multidimensional contingency table and establish the properties of monotonicity and supermodularity for the marginalization function, $n(\cdot)$, on $\mathcal{L}$. We derive from the supermodularity ... More

A mini-max problem for self-adjoint Toeplitz matricesSep 14 2010Jan 18 2011We study a minimum problem and associated maximum problem for finite, complex, self-adjoint Toeplitz matrices. If $A$ is such a matrix, of size $(N+1)$-by-$(N+1)$, we identify $A$ with the operator it represents on $P_N$, the space of complex polynomials ... More

Character clusters for Lie algebra modules over a field of non-zero characteristicJan 20 2013For a Lie algebra L over an algebraically closed field of non-zero characteristic, every finite-dimensional L-module can be decomposed into a direct sum of submodules such that all composition factors of a summand have the same character. Using the concept ... More

Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous MediaDec 01 2013A upscaled lattice Boltzmann method (LBM) for flow simulations in heterogeneous porous media, at both pore and Darcy scales, is proposed in this paper. In the micro-scale simulations, we model flows using LBM with the modified Guo et al. algorithm where ... More

On reconciling quantum mechanics and local realismSep 04 2013A necessary and natural change in our application of quantum mechanics to separated systems is shown to reconcile quantum mechanics and local realism. An analysis of separation and localization justifies the proposed change in application of quantum mechanics. ... More

Faithful representations of Leibniz algebrasNov 10 2011Let L be a Leibniz algebra of dimension n. I prove the existence of a faithful L-module of dimension less than or equal to n+1.

On Engel's Theorem for Leibniz algebrasDec 03 2010Jul 11 2011I give a simpler proof of the generalisation of Engel's Theorem to Leibniz algebras.

Subnormal subalgebras of Leibniz algebrasNov 06 2008Zassenhaus has proved that if U is a subnormal subalgebra of a finite-dimensional Lie algebra L and V is a finite-dimensional irreducible L-module, then all U-module composition factors of V are isomorphic. Schenkman has proved that if U is a subnormal ... More

Conditions for a Schunck class to be a formationJul 21 2014Jul 29 2014A Schunck class H is determined by the class X of primitives contained in H. We give necessary and sufficient conditions on X for H to be a saturated formation.

On locally defined formations of soluble Lie and Leibniz algebrasOct 23 2011It is well-known that all saturated formations of finite soluble groups are locally defined and, except for the trivial formation, have many different local definitions. I show that for Lie and Leibniz algebras over a field of characteristic 0, the formations ... More

n-dimensional Klein bottlesJun 12 2017Jun 19 2017An n-dimensional analogue of the Klein bottle arose in our study of topological complexity of planar polygon spaces. We determine its integral cohomology algebra and stable homotopy type, and give an explicit immersion and embedding in Euclidean space. ... More

Some new nonimmersion results for real projective spacesJan 28 2011We use the spectrum tmf to obtain new nonimmersion results for many real projective spaces RP^n for n as small as 113. The only new ingredient is some new calculations of tmf-cohomology groups. We present an expanded table of nonimmersion results. Our ... More

Blocks of representations of Lie algebrasMay 19 2014Mar 11 2015In the theory of finite groups, the irreducible representations of G over a field F are classified into blocks based on a direct decompositions of the group algebra FG. This gives a natural decomposition of FG-modules into direct summands, each summand ... More

For which p-adic integers x can Sum_k binomial(x,k)^(-1) be defined?Aug 01 2012Let f(n)= Sum binomial(n,k)^(-1). First, we show that f:N to Q_p is nowhere continuous in the p-adic topology. If x is a p-adic integer, we say that f(x) is p-definable if lim f(x_j) exists in Q_p, where x_j denotes the jth partial sum for x. We prove ... More

Bousfield Localization and Algebras over Colored OperadsMar 23 2015Oct 05 2015We provide a very general approach to placing model structures and semi-model structures on algebras over symmetric colored operads. Our results require minimal hypotheses on the underlying model category $\mathcal{M}$, and these hypotheses vary depending ... More

Clauser-Horne/Eberhard inequality violation by a local modelJul 22 2015Feb 25 2016Thanks to its immunity to the detection loophole, the Clauser-Horne/Eberhard inequality plays an important role in tests of locality and in certification of quantum information protocols based on entanglement. I describe a local model that violates the ... More

A Local Realist Account of the Weihs et al EPRB ExperimentJan 08 2013Apr 07 2013Quantum mechanics stands in conflict with local realism only in its treatment of separated systems. A modification of quantum mechanics that changes the handling of separated systems is suggested that can reconcile quantum mechanics with local realism. ... More

The Quantum Prediction for Einstein-Podolsky-Rosen (EPR) ExperimentsJul 05 2016Aug 07 2016Quantum mechanics allows for multiple predictions for the outcome of an EPR experiment. The correct calculation must be used, guided by the physical conditions of the experiment. The quantum joint prediction for EPR correlation is derived and shown to ... More

Role of HIV RNA structure in recombination and speciation: romping in purine A, keeps HTLV awayMay 09 2013Extreme enrichment of the human immunodeficiency virus (HIV-1) RNA genome for the purine A parallels the mild purine-loading of the RNAs of most organisms. This should militate against loop-loop "kissing" interactions between the structured viral genome ... More

Homotopical Adjoint Lifting TheoremJun 06 2016This paper provides a homotopical version of the adjoint lifting theorem in category theory, allowing for Quillen equivalences to be lifted from monoidal model categories to categories of algebras over colored operads. The generality of our approach allows ... More

Lattices of subalgebras of Leibniz algebrasFeb 27 2011I describe the lattice of subalgebras of a one-generator Leibniz algebra. Using this, I show that, apart from one special case, a lattice isomorphism between Leibniz algebras L, L' maps the Leibniz kernel of L to that of L'.

Schunck classes of soluble Leibniz algebrasJan 16 2011Jan 25 2011I set out the theory of Schunck classes and projectors for soluble Leibniz algebras, parallel to that for Lie algebras. Primitive Leibniz algebras come in pairs, one (Lie) symmetric, the other antisymmetric. A Schunck formation containing one member of ... More

An approach to the topological complexity of the Klein bottleDec 08 2016Feb 02 2017Recently, Cohen and Vandembroucq proved that the reduced topological complexity of the Klein bottle is 4. Simultaneously and independently, we announced a proof of the same result. Mistakes were found in our argument, which was quite different than theirs. ... More

Lie algebra F-normalisers are intravariantDec 20 2007Let F be a saturated formation of soluble Lie algebras and let U be an F-normaliser of the soluble Lie algebra L. Then U is intravariant in L.

Minimizing Squared Vertical and Squared Horizontal ErrorsDec 02 2005The slope of the best fit line from minimizing the sum of both the squared vertical errors and the squared horizontal errors is shown to be the root of a fourth degree polynomial.

Does horizon entropy satisfy a Quantum Null Energy Conjecture?Jun 15 2016Nov 03 2016A modern version of the idea that the area of event horizons gives $4G$ times an entropy is the Hubeny-Rangamani Causal Holographic Information (CHI) proposal for holographic field theories. Given a region $R$ of a holographic QFTs, CHI computes $A/4G$ ... More

Topological complexity of some planar polygon spacesApr 03 2015Jul 06 2015Using known results about their mod-2 cohomology ring, we prove that the topological complexity of the space of isometry classes of n-gons in the plane with one side of length r and all others of length 1 equals either 2n-5 or 2n-6, provided that n-r ... More

Some new immersion results for complex projective spaceFeb 21 2006We prove the following two new optimal immersion results for complex projective space. First, if n equiv 3 mod 8 but n not equiv 3 mod 64, and alpha(n)=7, then CP^n can be immersed in R^{4n-14}. Second, if n is even and alpha(n)=3, then CP^n can be immersed ... More

Multilevel mutation-selection systems and set-valued dualsJul 10 2015Oct 06 2015A class of measure-valued processes which model multilevel populations undergoing mutation, selection, genetic drift and spatial migration is considered. We investigate the qualitative behaviour of models with multilevel selection and the interaction ... More

For which 2-adic integers $x$ can $\sum_k \binom xk^{-1}$ be defined?Jan 11 2013Let $f(n)=\sum_k \binom nk^{-1}$. In a previous paper, we defined for a p-adic integer x that f(x) is p-definable if lim $f(x_j)$ exists in $Q_p$, where $x_j$ denotes the mod $p^j$ reduction of $x$. We proved that if p is odd, then -1 is the only element ... More

Engel subalgebras of Leibniz algebrasOct 16 2008Engel subalgebras of finite-dimensional Leibniz algebras are shown to have similar properties to those of Lie algebras. Using these, it is shown that a left Leibniz algebra, all of whose maximal subalgebras are right ideals, is nilpotent. A primitive ... More

Strong containment of saturated formations of soluble Lie algebrasAug 08 2012Dec 03 2012It is shown that, if H,K are saturated formations of soluble Lie algebras over a field of non-zero characteristic and H strongly contains K non-trivially, then H coincides with the formation generated by the L/N(L) for L in H, and that H is not locally ... More

Topological complexity (within 1) of the space of isometry classes of planar n-gons for sufficiently large nAug 30 2016Sep 07 2016Hausmann and Rodriguez classified spaces of isometry classes of planar n-gons according to their genetic code, which is a collection of sets (called genes) containing n. Omitting the n yields what we call gees. We prove that, for a set of gees with largest ... More

When acting as a reproductive barrier for sympatric speciation, hybrid sterility can only be primaryFeb 06 2018Mar 09 2019In many animals parental gametes unite to form a zygote that develops into an adult with gonads that, in turn, produce gametes. Interruption of this germinal cycle by prezygotic or postzygotic reproductive barriers can result in two independent cycles, ... More

Divisibility by 2 and 3 of certain Stirling numbersJul 16 2008The numbers e_p(k,n) defined as min(nu_p(S(k,j)j!): j >= n) appear frequently in algebraic topology. Here S(k,j) is the Stirling number of the second kind, and nu_p(-) the exponent of p. The author and Sun proved that if L is sufficiently large, then ... More

Return Optimization Securities and Other Remarkable Structured Investment Products: Indicators of Future Outcomes for U.S. Treasuries?Apr 03 2018We analyze four structured products that have caused severe losses to investors in recent years. These products are: return optimization securities, yield magnet notes, reverse exchangeable securities, and principal-protected notes. We describe the basic ... More

Statistical Implications of the Revenue Transfer Methodology in the Affordable Care ActMar 03 2017Jun 07 2018The Affordable Care Act (ACA) includes a permanent revenue transfer methodology which provides financial incentives to health insurance plans that have higher than average actuarial risk. In this paper, we derive some statistical implications of the revenue ... More

BP-homology of elementary abelian 2-groups: BP-module structureNov 28 2017Jun 27 2018We determine the BP-module structure, mod higher filtration, of the main part of the BP-homology of elementary abelian 2-groups. The action is related to symmetric polynomials and to Dickson invariants.

Binomial coefficients involving infinite powers of primesJan 26 2013If p is a prime and n a positive integer, let v(n) denote the exponent of p in n, and u(n)=n/p^{v(n)} the unit part of n. If k is a positive integer not divisible by p, we show that the p-adic limit of (-1)^{pke} u((kp^e)!) as e goes to infinity is a ... More

Maximizing a combinatorial expression arising from crowd estimationOct 29 2009We determine, within 1, the value of N for which sum (s1 choose i)(s2 choose N)(s1 choose N-i)(N choose i) achieves its maximum value. Here s1 and s2 are fixed integers. This problem arises in studying the most likely value for the size of the union of ... More

Integral Transform Methods in Goodness-of-Fit Testing, II: The Wishart DistributionsMar 06 2019We initiate the study of goodness-of-fit testing when the data consist of positive definite matrices. Motivated by the recent appearance of the cone of positive definite matrices in numerous areas of applied research, including diffusion tensor imaging, ... More

Magellan LDSS3 emission confirmation of galaxies hosting metal-rich Lyman-alpha absorption systemsJul 29 2015Mar 01 2016Using the Low Dispersion Survey Spectrograph 3 at the Magellan II Clay Telescope, we target {candidate absorption host galaxies} detected in deep optical imaging {(reaching limiting apparent magnitudes of 23.0-26.5 in $g, r, i,$ and $z$ filters) in the ... More

Evolution of Star-forming Galaxies from z = 0.7 to 1.2 with eBOSS Emission-line GalaxiesOct 12 2018Feb 06 2019We study the evolution of star-forming galaxies with $10^{10} M_\odot<M_*<10^{11.6} M_\odot$ over the redshift range of 0.7<z<1.2 using the emission line galaxies (ELGs) in the extended Baryon Oscillation Spectroscopic Survey (eBOSS). By applying the ... More

On homotopy invariance for algebras over colored PROPsMay 29 2009Sep 17 2009Over a monoidal model category, under some mild assumptions, we equip the categories of colored PROPs and their algebras with projective model category structures. A Boardman-Vogt style homotopy invariance result about algebras over cofibrant colored ... More

Pressure in Lemaître-Tolman-Bondi solutions and cosmologiesMar 04 2016Lema\^{i}tre-Tolman-Bondi (LTB) solutions have traditionally been confined to systems with no pressure in which the gravity is due to massive dust, but the solutions are little changed in form if, as in cosmology, the pressure is uniform in space at each ... More

Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wavenumber Explicit BoundsAug 15 2016The simulation of the elastodynamics equations at high-frequency suffers from the well known pollution effect. The results of this work are two-fold. We present a Petrov--Galerkin multiscale sub-grid correction method that remains pollution free in natural ... More

Allan R. Sandage, 18 June 1926 - 13 November 2010Nov 23 2011Allan Sandage was an observational astronomer who was happiest at a telescope. On Hubble's sudden death Allan Sandage inherited the programmes using the world's largest optical telescope at Palomar to determine the distances and number counts of galaxies. ... More

State-Dependent Divergences in the Entanglement EntropyJul 05 2016We show the entanglement entropy in certain quantum field theories to contain state-dependent divergences. Both perturbative and holographic examples are exhibited. However, quantities such as the relative entropy and the generalized entropy of black ... More

v1-periodic homotopy groups of the Dwyer-Wilkerson spaceJun 07 2007The Dwyer-Wilkerson space DI(4) is the only exotic 2-compact group. We compute its v1-periodic homotopy groups.

Asymptotic behavior of the Poisson--Dirichlet distribution for large mutation rateJul 04 2006The large deviation principle is established for the Poisson--Dirichlet distribution when the parameter $\theta$ approaches infinity. The result is then used to study the asymptotic behavior of the homozygosity and the Poisson--Dirichlet distribution ... More

Duality for spatially interacting Fleming-Viot processes with mutation and selectionApr 06 2011Consider a system $X = ((x_\xi(t)), \xi \in \Omega_N)_{t \geq 0}$ of interacting Fleming-Viot diffusions with mutation and selection which is a strong Markov process with continuous paths and state space $(\CP(\I))^{\Omega_N}$, where $\I$ is the type ... More

Magnetic Field Amplification and Rapid Time Variations in SNR RX J1713.7-3946Nov 27 2007Evidence is accumulating suggesting that collisionless shocks in supernova remnants (SNRs) can amplify the interstellar magnetic field to hundreds of microgauss or even milli-gauss levels, as recently claimed for SNR RX J1713.7-3946. If these fields exist, ... More

Construction of Immigration Superprocesses with Dependent Spatial Motion from One-Dimensional ExcursionsJun 24 2006A superprocess with dependent spatial motion and interactive immigration is constructed as the pathwise unique solution of a stochastic integral equation carried by a stochastic flow and driven by Poisson processes of one-dimensional excursions.

A bivariate analogue to the composed product of polynomialsDec 03 2003The concept of a composed product for univariate polynomials has been explored extensively by Brawley, Brown, Carlitz, Gao, Mills, et al. Starting with these fundamental ideas and utilizing fractional power series representation (in particular, the Puiseux ... More

Nonimmersions of RP^n implied by tmf, revisitedApr 05 2007In a 2002 paper, the authors and Bruner used the new spectrum tmf to obtain some new nonimmersions of real projective spaces. In this note, we complete/correct two oversights in that paper. The first is to note that in that paper a general nonimmersion ... More

A Mismatch in the Ultraviolet Spectra between Low-Redshift and Intermediate-Redshift Type Ia Supernovae as a Possible Systematic Uncertainty for Supernova CosmologyOct 13 2010Feb 14 2012We present Keck high-quality rest-frame ultraviolet (UV) through optical spectra of 21 Type Ia supernovae (SNe Ia) in the redshift range 0.11 < z < 0.37 and a mean redshift of 0.22 that were discovered during the Sloan Digital Sky Survey-II (SDSS-II) ... More

3D MHD Modeling of the Gaseous Structure of the Galaxy: Setup and Initial ResultsJul 29 2002We show the initial results of our 3D MHD simulations of the flow of the Galactic atmosphere as it responds to a spiral perturbation in the potential. In our standard case, as the gas approaches the arm, there is a downward converging flow that terminates ... More

Improving Covariate Balance in 2^K Factorial Designs via RerandomizationNov 06 2015Factorial designs are widely used in agriculture, engineering, and the social sciences to study the causal effects of several factors simultaneously on a response. The objective of such a design is to estimate all factorial effects of interest, which ... More

Cutoff AdS$_3$ versus the $T\bar{T}$ deformationJan 08 2018A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $T\bar{T}$ flow to AdS$_3$ with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. ... More