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The complex chemistry of hot cores in Sagittarius B2(N): Influence of cosmic-ray ionization and thermal historyJun 11 2019As the number of complex organic molecules (COMs) detected in the interstellar medium increases, it becomes important to place meaningful constraints on the formation pathways of these species. The molecular cloud SgrB2(N) is host to several hot molecular ... More

Relating the type A alcove path model to the right key of a semistandard Young tableau, with Demazure character consequencesJun 15 2015There are several combinatorial methods that can be used to produce type A Demazure characters (key polynomials). The alcove path model of Lenart and Postnikov provides a procedure that inputs a semistandard tableau $T$ and outputs a saturated chain in ... More

Totally disconnected groups from Baumslag-Solitar groupsJan 21 2013May 26 2013For each Baumslag-Solitar group BS(m,n) (m,n nonzero integers), a totally disconnected, locally compact group, G_{m,n}, is constructed so that BS(m,n) is identified with a dense subgroup of G_{m,n}. The scale function on G_{m,n}, a structural invariant ... More

Homological Properties of the Algebra of Compact Operators on a Banach SpaceDec 04 2012The conditions on a Banach space, $E$, under which the algebra, $\mathcal{K}(E)$, of compact operators on $E$ is right flat or homologically unital are investigated. These homological properties are related to factorization in the algebra and it is shown ... More

A graph-theoretic description of scale-multiplicative semigroups of automorphismsOct 01 2017It is shown that a flat subgroup, $H$, of the totally disconnected, locally compact group $G$ decomposes into a finite number of subsemigroups on which the scale function is multiplicative. The image, $P$, of a multiplicative semigroup in the quotient, ... More

One-sided shift spaces over infinite alphabetsSep 08 2012Jul 02 2013We define a notion of (one-sided) shift spaces over infinite alphabets. Unlike many previous approaches to shift spaces over countable alphabets, our shift spaces are compact Hausdorff spaces. We examine shift morphisms between these shift spaces, and ... More

Group actions on labeled graphs and their C*-algebrasJun 08 2011May 16 2013We introduce the notion of the action of a group on a labeled graph and the quotient object, also a labeled graph. We define a skew product labeled graph and use it to prove a version of the Gross-Tucker theorem for labeled graphs. We then apply these ... More

The crossed-product structure of C*-algebras arising from topological dynamical systemsMay 23 2011Jun 01 2011We show that every topological k-graph constructed from a locally compact Hausdorff space {\Omega} and a family of pairwise commuting local homeomorphisms on {\Omega} satisfying a uniform boundedness condition on the cardinalities of inverse images may ... More

Parabolic Catalan numbers count flagged Schur functions; Convexity of tableau sets for Demazure charactersDec 19 2016Feb 27 2017Shuffles are n-multipermutations with suit multiplicities given by a subset R of {1,..,n-1}. Their inverses are ordered partitions of {1,..,n} whose block sizes derive from R. These "R-permutations" depict the min length coset reps for the quotient of ... More

Strands algebras and Ozsváth-Szabó's Kauffman-states functorMar 13 2019We define new differential graded algebras A(n,k,S) in the framework of Lipshitz-Ozsv\'ath-Thurston's and Zarev's strands algebras from bordered Floer homology. The algebras A(n,k,S) are meant to be strands models for Ozsv\'ath-Szab\'o's algebras B(n,k,S); ... More

Semistandard Tableaux for Demazure Characters (Key Polynomials) and Their AtomsDec 30 2012Jul 07 2017The Schur function indexed by a partition lambda with at most n parts is the sum of the weight monomials for the Young tableaux of shape lambda. Let pi be an n-permutation. We give two descriptions of the tableaux that contribute their monomials to the ... More

Generators, relations, and homology for Ozsváth-Szabó's Kauffman-states algebrasMar 13 2019We give a generators-and-relations description of differential graded algebras recently introduced by Ozsv\'ath and Szab\'o for the computation of knot Floer homology. We also compute the homology of these algebras and determine when they are formal.

Parabolic Catalan numbers count efficient inputs for Gessel-Viennot flagged Schur function determinantJan 04 2017Feb 10 2017Let lambda be a partition with no more than n parts. Let beta be a weakly increasing n-tuple with entries from {1,..,n}. The flagged Schur function in the variables x_1, .., x_n that is indexed by lambda and beta has been defined to be the sum of the ... More

Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusionApr 03 2019In this paper, we construct approximations of the microscopic solution of a nonlinear reaction--diffusion equation in a domain consisting of two bulk-domains, which are separated by a thin layer with a periodic heterogeneous structure. The size of the ... More

A New 3D Segmentation Methodology for Lumbar Vertebral Bodies for the Measurement of BMD and GeometryMay 19 2017In this paper a new technique is presented that extracts the geometry of lumbar vertebral bodies from spiral CT scans. Our new multi-step segmentation approach yields highly accurate and precise measurement of the bone mineral density (BMD) in different ... More

Cayley transform and the Kronecker product of Hermitian matricesMay 05 2013Jul 17 2013We consider the conditions under which the Cayley transform of the Kronecker product of two Hermitian matrices can be again presented as a Kronecker product of two matrices and, if so, if it is a product of the Cayley transforms of the two Hermitian matrices. ... More

Relativistic laser driven electron accelerator using micro-channel plasma targetsJan 02 2019We present an experimental demonstration of the efficient acceleration of electrons beyond 60 MeV using micro-channel plasma targets. We employed a high-contrast, 2.5 J, 32 fs short pulse laser interacting with a 5 \mu m inner diameter, 300 \mu m long ... More

The standing pool of genomic structural variation in a natural population of Mimulus guttatusAug 19 2013Major unresolved questions in evolutionary genetics include determining the contributions of different mutational sources to the total pool of genetic variation in a species, and understanding how these different forms of genetic variation interact with ... More

Stabilisation and drag reduction of pipe flows by flattening the base profileJun 14 2018Recent experimental observations (Kuehnen et al., 2018) have shown that flattening a turbulent streamwise velocity profile in pipe flow destabilises the turbulence so that the flow relaminarises. We show that a similar phenomenon exists for laminar pipe ... More

Amenability of Banach algebras of compact operatorsSep 08 1992In this paper we study conditions on a Banach space X that ensure that the Banach algebra K(X) of compact operators is amenable. We give a symmetrized approximation property of X which is proved to be such a condition. This property is satisfied by a ... More

The XXL Survey XXV. Cosmological analysis of the C1 cluster number countsOct 03 2018Context. We present an estimation of cosmological parameters with clusters of galaxies. Aims. We constrain the $\Omega_m$, $\sigma_8$, and $w$ parameters from a stand-alone sample of X-ray clusters detected in the 50 deg$^2$ XMM-XXL survey with a well-defined ... More

A study of obliquely propagating longitudinal shear waves in a periodic laminateOct 24 2013The basic purpose of this work is to demonstrate, by quite simple and explicit calculation, the possibility that a simple laminate composed of ordinary materials can display the kind of response associated with a "metamaterial". Specifically, a wave of ... More

Using short drive laser pulses to achieve net focusing forces in tailored dual grating dielectric structuresJan 31 2018Laser-driven grating type DLA (Dielectric Laser Accelerator) structures have been shown to produce accelerating gradients on the order of GeV/m. In simple $\beta$-matched grating structures due to the nature of the laser induced steady-state in-channel ... More

Recurrent Neural ProcessesJun 13 2019We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs can learn dynamical patterns from sequential data and deal with non-stationarity. Given time series observed on fast real-world ... More

Pricing, liquidity and the control of dynamic systems in finance and economicsMay 27 2011The paper discusses various practical consequences of treating economics and finance as an inherently dynamic and chaotic system. On the theoretical side this looks at the general applicability of the market-making pricing approach to economics in general. ... More

Species richness estimation with high diversity but spurious singletonsApr 09 2016The presence of uncommon taxa in high-throughput sequenced ecological samples pose challenges to the microbial ecologist, bioinformatician and statistician. It is rarely certain whether these taxa are truly present in the sample or the result of sequencing ... More

A well posed acoustic analogy based on a moving acoustic mediumSep 20 2010For flows of a lossless gas, the stagnation enthalpy obeys a linear convected wave equation with coefficients which depend on the flow variables. This equation is self-adjoint and one has a reciprocity relation between source and observer. It fulfills ... More

Khovanov-Rozansky homology for infinite multi-colored braidsApr 19 2019We define a limiting $\mathfrak{sl}_N$ Khovanov-Rozansky homology for semi-infinite positive multi-colored braids, and we show that this limiting homology categorifies a highest-weight projector for a large class of such braids. This effectively completes ... More

Full PIC simulation of a first ACHIP experiment @ SINBADFeb 08 2018In laser illuminated dielectric accelerators (DLA) high acceleration gradients can be achieved due to high damage thresholds of the materials at optical frequencies. This is a necessity for developing more compact particle accelerator technologies. The ... More

Some thoughts on dynamic effective properties -- a working documentNov 05 2013The main purpose of this work is to address the question of the utility of "effective constitutive relations" for problems in dynamics. This is done in the context of longitudinal shear waves in an elastic medium that is periodically laminated, with attention ... More

Green's function for longitudinal shear of a periodic laminateNov 05 2013The reasoning is a slight extension of that employed in my article [1] and its further development [2]. A formal solution to the title problem is presented for a general periodic laminate and its application for the construction of "effective constitutive ... More

A Colored Khovanov Homotopy Type And Its Tail For B-Adequate LinksFeb 11 2016Jun 06 2016We define a Khovanov homotopy type for $sl_2(\mathbb{C})$ colored links and quantum spin networks and derive some of its basic properties. In the case of $n$-colored B-adequate links, we show a stabilization of the homotopy types as the coloring $n\rightarrow\infty$, ... More

Confidence sets for phylogenetic treesJul 28 2016Oct 13 2017Inferring evolutionary histories (phylogenetic trees) has important applications in biology, criminology and public health. However, phylogenetic trees are complex mathematical objects that reside in a non-Euclidean space, which complicates their analysis. ... More

Locally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groupsJan 14 2014Jan 04 2017We use the structure lattice, introduced in Part I, to undertake a systematic study of the class $\mathscr S$ consisting of compactly generated, topologically simple, totally disconnected locally compact groups that are non-discrete. Given $G \in \mathscr ... More

Locally normal subgroups of simple locally compact groupsMar 27 2013We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with open normaliser, ... More

Simulation of deflecting structures for dielectric laser driven acceleratorsFeb 06 2018In laser illuminated dielectric accelerators (DLA) high acceleration gradients can be achieved, due to high damage thresholds of the materials at optical frequencies. This is a necessity in developing more compact particle accelerator technologies. The ... More

Stabilization of the Khovanov Homotopy Type of Torus LinksNov 09 2015The structure of the Khovanov homology of $(n,m)$ torus links has been extensively studied. In particular, Marko Stosic proved that the homology groups stabilize as $m\rightarrow\infty$. We show that the Khovanov homotopy types of $(n,m)$ torus links, ... More

Confidence sets for phylogenetic treesJul 28 2016Inferring evolutionary histories (phylogenetic trees) has important applications in biology, criminology and public health. However, phylogenetic trees are complex mathematical objects that reside in a non-Euclidean space, which complicates their analysis. ... More

The Nub of an Automorphism of a Totally Disconnected, Locally Compact GroupDec 19 2011To any automorphism, $\alpha$, of a totally disconnected, locally compact group, $G$, there is associated a compact, $\alpha$-stable subgroup of $G$, here called the \emph{nub} of $\alpha$, on which the action of $\alpha$ is topologically transitive. ... More

Why Money Trickles Up - Wealth & Income DistributionsMay 11 2011May 27 2011This paper combines ideas from classical economics and modern finance with the general Lotka-Volterra models of Levy & Solomon to provide straightforward explanations of wealth and income distributions. Using a simple and realistic economic formulation, ... More

Laser Welfare: First Steps in Econodynamic EngineeringAug 10 2004The paper starts with a brief review of present understanding of income distributions; especially with regard to recent work in the field of econophysics that draws parallels between income, wealth and energy distributions. Examples of alternative energy ... More

The Bowley RatioMay 11 2011The paper gives a simple algebraic description, and background justification, for the Bowley Ratio, the relative returns to labour and capital, in a simple economy.

Khovanov homology for links in $\#^r(S^2\times S^1)$Dec 17 2018We revisit Rozansky's construction of Khovanov homology for links $L$ in $S^2\times S^1$, extending it to define Khovanov homology $Kh(L)$ for links in $M^r=\#^r(S^2\times S^1)$ for any $r$. The graded Euler characteristic of $Kh(L)$ recovers the evaluation ... More

A New 3D Segmentation Technique for QCT Scans of the Lumbar Spine to Determine BMD and Vertebral GeometryMay 19 2017Quantitative computed tomography (QCT) is a standard method to determine bone mineral density (BMD) in the spine. Traditionally single 8 - 10 mm thick slices have been analyzed only. Current spiral CT scanners provide true 3D acquisition schemes allowing ... More

Absolute absorption and fluorescence measurements over a dynamic range of 10$^6$ with cavity-enhanced laser-induced fluorescenceAug 08 2013Oct 14 2013We describe a novel experimental setup that combines the advantages of both laser-induced fluorescence and cavity ring-down techniques. The simultaneous and correlated measurement of the ring-down and fluorescence signals yields absolute absorption coefficients ... More

Engineering of Neutral Excitons and Exciton Complexes in Transition Metal Dichalcogenide Monolayers through External Dielectric ScreeningMay 30 2017In order to fully exploit the potential of transition metal dichalcogenide monolayers (TMD-MLs), the well-controlled creation of atomically sharp lateral heterojunctions within these materials is highly desirable. A promising approach to create such heterojunctions ... More

Correlated photon pairs generated from a warm atomic ensembleNov 11 2010We present measurements of the cross-correlation function of photon pairs at 780 nm and 1367 nm, generated in a hot rubidium vapor cell. The temporal character of the biphoton is determined by the dispersive properties of the medium where the pair generation ... More

Two-Photon Dichroic Atomic Vapor Laser Lock Using Electromagnetically Induced Transparency and AbsorptionJan 19 2009May 14 2009We demonstrate a technique to lock the frequency of a laser to a transition between two excited states in Rb vapor in the presence of a weak magnetic field. We use a ladder configuration from specific hyperfine sublevels of the 5S 1/2, 5P 3/2, and 5D ... More

Modified Mott-Schottky Analysis of Nanocrystal Solar CellsDec 07 2011Mott-Schottky analysis is adapted to determine the built-in bias (Vbi) and doping density (N) of lead sulfide-zinc oxide colloidal quantum dot heterojunction solar cells. We show that charge injection barriers at the solar cell's electrodes create a constant ... More

Non-degenerate four-wave mixing in rubidium vapor: transient regimeOct 06 2010We investigate the transient response of the generated light from Four-Wave Mixing (FWM) in the diamond configuration using a step-down field excitation. The transients show fast decay times and oscillations that depend on the detunings and intensities ... More

Thermal and Non-thermal Plasmas in the Galaxy Cluster 3C 129Feb 03 2003Jul 23 2003We describe new Chandra spectroscopy data of the cluster which harbors the prototypical "head tail" radio galaxy 3C 129 and the weaker radio galaxy 3C 129.1. We combined the Chandra data with Very Large Array (VLA) radio data taken at 0.33, 5, and 8 GHz ... More

Chemo-kinematics of the Milky Way from the SDSS-III MARVELS SurveyMar 30 2018Combining stellar atmospheric parameters, such as effective temperature, surface gravity, and metallicity, with barycentric radial velocity data provides insight into the chemo-dynamics of the MilkyWay and our local Galactic environment. We analyze 3075 ... More

Young Stellar Objects in the Massive Star Forming Region W49Sep 18 2015Dec 16 2015We present the initial results of our investigation of the star-forming complex W49, one of the youngest and most luminous massive star forming regions in our Galaxy. We used Spitzer/Infrared Array Camera (IRAC) data to investigate massive star formation ... More

Radio polarimetric imaging of the interstellar medium: magnetic field and diffuse ionized gas structure near the W3/W4/W5/HB3 complexDec 08 1998We have used polarimetric imaging to study the magneto-ionic medium of the Galaxy, obtaining 1420 MHz images with an angular resolution of 1' over more than 40 square-degrees of sky around the W3/W4/W5/HB3 HII region/SNR complex in the Perseus Arm. Features ... More

In-situ, variable thickness, liquid crystal film target inserter for moderate repetition rate intense laser applicationsJul 29 2015Aug 18 2015Liquid crystal films have recently been demonstrated as variable thickness, planar targets for ultra-intense laser matter experiments and applications such as ion acceleration. By controlling the parameters of film formation, including liquid crystal ... More

A Mass Model for Estimating the Gamma Ray Background of the Burst and Transient Source ExperimentNov 19 2002Orbiting x-ray and gamma ray instruments are subject to large background count rates due to local particle fluxes in the space environment. The ability of an instrument to make calibrated measurements of the flux from a source of interest is highly dependent ... More

Experimental evidence for narrow baryons in the mass range 1.0$\le$ M $\le$1.46 GeVJul 04 2002The reaction p p $\to$ p ${\pi^+}X$ was studied at different incident energies around T$_{p}$=2 GeV. Narrow baryonic structures were observed in the missing mass M$_{X}$ and in the invariant mass M$_{p\pi^{+}}$. The masses of these structures are: 1004, ... More

X-ray versus infrared selection of distant galaxy clusters: A case study using the XMM-LSS and SpARCS cluster samplesApr 17 2018We present a comparison of two samples of z>0.8 galaxy clusters selected using different wavelength-dependent techniques and examine the physical differences between them. We consider 18 clusters from the X-ray selected XMM-LSS distant cluster survey ... More

Estimating Diversity via Frequency RatiosAug 14 2014Dec 09 2014We wish to estimate the total number of classes in a population based on sample counts, especially in the presence of high latent diversity. Drawing on probability theory that characterizes distributions on the integers by ratios of consecutive probabilities, ... More

The Openpipeflow Navier--Stokes SolverMay 10 2017Jun 05 2017Pipelines are used in a huge range of industrial processes involving fluids, and the ability to accurately predict properties of the flow through a pipe is of fundamental engineering importance. Armed with parallel MPI, Arnoldi and Newton--Krylov solvers, ... More

Optimization of the magnetic dynamoSep 07 2012Dec 19 2012In stars and planets, magnetic fields are believed to originate from the motion of electrically conducting fluids in their interior, through a process known as the dynamo mechanism. In this Letter, an optimization procedure is used to simultaneously address ... More

Towards Eco-friendly Database Management SystemsSep 09 2009Database management systems (DBMSs) have largely ignored the task of managing the energy consumed during query processing. Both economical and environmental factors now require that DBMSs pay close attention to energy consumption. In this paper we approach ... More

Acceleration of generalized hypergeometric functions through precise remainder asymptoticsFeb 15 2011Aug 17 2011We express the asymptotics of the remainders of the partial sums {s_n} of the generalized hypergeometric function q+1_F_q through an inverse power series z^n n^l \sum_k c_k/n^k, where the exponent l and the asymptotic coefficients {c_k} may be recursively ... More

Towards Energy-Efficient Database Cluster DesignAug 09 2012Energy is a growing component of the operational cost for many "big data" deployments, and hence has become increasingly important for practitioners of large-scale data analysis who require scale-out clusters or parallel DBMS appliances. Although a number ... More

The Compact Approximation Property does not imply the Approximation PropertyMay 04 1992It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.

Computing power series expansions of modular formsApr 30 2012Sep 30 2012We exhibit a method to numerically compute power series expansions of modular forms on a cocompact Fuchsian group, using the explicit computation a fundamental domain and linear algebra.

The Scale and Tidy Subgroups for Endomorphisms of Totally Disconnected Locally Compact GroupsDec 05 2013The scale of an endomorphism, $\alpha$, of a totally disconnected, locally compact group $G$ is the minimum index $[\alpha(U) : \alpha(U)\cap U]$, for $U$ a compact, open subgroup of $G$. A structural characterization of subgroups at which the minimum ... More

New Descriptions of Demazure Tableaux and Right Keys, with Applications to ConvexityJul 29 2014The right key of a semistandard Young tableau is a tool used to find Demazure characters for $sl_n(\mathbb{C})$. This thesis gives methods to obtain the right and left keys by inspection of the semistandard Young tableau. Given a partition $\lambda$ and ... More

Evidence for the Independence of Waged and Unwaged Income, Evidence for Boltzmann Distributions in Waged Income, and the Outlines of a Coherent Theory of Income DistributionJun 28 2004Two sets of high quality income data are analysed in detail, one set from the UK, one from the USA. It is firstly demonstrated that both a log-normal distribution and a Boltzmann distribution can give very accurate fits to both these data sets. The absence ... More

The Khovanov homology of infinite braidsOct 14 2016We show that the limiting Khovanov chain complex of any infinite positive braid categorifies the Jones-Wenzl projector. This result extends Lev Rozansky's categorification of the Jones-Wenzl projectors using the limiting complex of infinite torus braids. ... More

Spatio-temporal Correlations in the Manna Model in one, three and five dimensionsAug 02 2016Jul 30 2017Although the paradigm of criticality is centred around spatial correlations and their anomalous scaling, not many studies of Self-Organised Criticality (SOC) focus on spatial correlations. Often, integrated observables, such as avalanche size and duration, ... More

Tidy subgroups for commuting automorphisms of totally disconnected groups: an analogue of simultaneous triangularisation of matricesFeb 18 2003Let \alpha be an automorphism of the totally disconnected group G. The compact open subgroup, V, if G is tidy for \alpha if [\alpha(V') : \alpha(V')\cap V'] is minimised at V, where V' ranges over all compact open subgroups of G. Identifying a subgroup ... More

Fairly Random: The Impact of Winning the Toss on the Probability of WinningMay 27 2016In a competitive sport, every little thing matters. Yet, many sports leave some large levers out of the reach of the teams, and in the hands of fate. In cricket, world's second most popular sport by some measures, one such lever---the toss---has been ... More

Estimation of cell lineage trees by maximum-likelihood phylogeneticsMar 29 2019CRISPR technology has enabled large-scale cell lineage tracing for complex multicellular organisms by mutating synthetic genomic barcodes during organismal development. However, these sophisticated biological tools currently use ad-hoc and outmoded computational ... More

Nonstandard regular variation of in-degree and out-degree in the preferential attachment modelMay 19 2014For the directed edge preferential attachment network growth model studied by Bollobas et al. (2003) and Krapivsky and Redner (2001), we prove that the joint distribution of in-degree and out-degree has jointly regularly varying tails. Typically the marginal ... More

Conservation or deterioration in heritage sites? Estimating willingness to pay for preservationFeb 06 2019A significant part of the United Nations World Heritage Sites (WHSs) is located in developing countries. These sites attract an increasing number of tourist and income to these countries. Unfortunately, many of these WHSs are in a poor condition due to ... More

Combinatorial Analysis of a Subtraction Game on GraphsJul 20 2015Aug 01 2016We define a two-player combinatorial game in which players take alternate turns; each turn consists on deleting a vertex of a graph, together with all the edges containing such vertex. If any vertex became isolated by a player's move then it would also ... More

The scale function and latticesFeb 14 2016It is shown that, given a lattice H in a totally disconnected, locally compact group G, the contraction subgroups in G and the values of the scale function on G are determined by their restrictions to H. Group theoretic properties intrinsic to the lattice, ... More

The uniqueness of the solution of the Schrodinger equation with discontinuous coefficientsNov 30 1998Consider the Schroeodinger equation: - Du(x) - l(x)u + s(x)u = 0, where D is the Laplacian, l(x) > 0 and s(x) is dominated by l(x). We shall extend the celebrated Kato's result on the asymptotic behavior of the solution to the case where l(x) has unbounded ... More

A Modified Mass Concept could explain both the Dark Matter and the Dark Energy PhenomenonDec 13 2010Some consequences of a Modified Mass Concept (MMC) are discussed. According to MMC the inertial mass is not only determined by its energy, but also by a scalar field f depending on other masses. The concept consistently describes the galactic rotation ... More

The reduced wave equation in layered materialsFeb 14 1999Let H = -(1/m(x))L be the reduced wave operator defined on the N-dimensional Euclidean space, where \f L is the Laplacian. Here m(x) is a positive step function with possible countably infinte surfaces of discontinuity (separating surfaces) under the ... More

A Direct Way to Find the Right Key of a Semistandard Young TableauOct 27 2011The right and left key of a semistandard Young tableau were introduced by Lascoux and Schutzenberger in 1990. Most prominently, the right key is a tool used to find Demazure characters for sl(n,C). Previous methods used to compute these keys require introducing ... More

Spatio-temporal Correlations in the Manna Model in one, three and five dimensionsAug 02 2016Although the paradigm of criticality is centred around spatial correlations and their anomalous scaling, very few studies of Self-Organised Criticality (SOC) are concerned with spatial correlations. Instead, integrated observables, such as avalanche size ... More

Colored Khovanov-Rozansky homology for infinite braidsSep 19 2017We show that the limiting unicolored $\mathfrak{sl}(N)$ Khovanov-Rozansky chain complex of any infinite positive braid categorifies a highest-weight projector. This result extends an earlier result of Cautis categorifying highest-weight projectors using ... More

On the spectrum of the reduced wave operator with cylindrical discontinuityFeb 14 1999Consider the differential operator H = -(1/m(x))L, where L is the N-dimensional Laplacian, in the weighted Hilbert space of square integrable functions on N-dimensional Euclidean space with weight m(x)dx. Here m(x) is a positive step function with a surface ... More

Local homeomorphisms that *-commute with the shiftOct 27 2010Exel and Renault proved that a sliding block code on a one-sided shift space coming from a progressive block map is a local homeomorphism. We provide a counterexample showing that the converse does not hold. We use this example to generalize the notion ... More

The BATSE 9 year histories of the brightest AGNAug 24 2004The Burst and Transient Source Experiment (BATSE) aboard CGRO monitored the whole sky through 8 NaI(Tl) crystal scintillators sensitive in the 20 keV - 2 MeV energy band continuously from April 1991 until June 2000. Results are presented on the long term ... More

A large-scale CO survey of the Rosette Molecular Cloud: assessing the effects of O stars on surrounding molecular gasFeb 24 2009We present a new large-scale survey of J=3-2 12CO emission covering 4.8 square degrees around the Rosette Nebula. Approximately 2000 compact clumps are identified, with a spatially-invariant power law mass distribution index of -1.8. Most of the inner ... More

Evidence of polarisation in the prompt gamma-ray emission from GRB 930131 and GRB 960924May 05 2005The true nature of the progenitor to GRBs remains elusive; one characteristic that would constrain our understanding of the GRB mechanism considerably is gamma-ray polarimetry measurements of the initial burst flux. We present a method that interprets ... More

Gamma-Ray All Sky Imaging with BATSEAug 23 2004The BATSE mission aboard CGRO observed the whole sky for 9 years in the 20 keV - 2 MeV energy band. Flat-fielding of the temporal variations in the background present in the data set has been accomplished through a GEANT3 Monte-Carlo simulation - the ... More

Flat-Fielding BATSE Occultation Data for use in a Hard X-Ray All Sky SurveyJan 03 2001The BATSE mission aboard CGRO can be used to observe hard X-ray sources by using the Earth occultation method. This method relies on measuring a step in the count rate profile in each BATSE detector as a source rises above or sets below the Earth's limb. ... More

A description of sources detected by INTEGRAL during the first 4 years of observationsMar 02 2007Mar 06 2007Parameters from the literature, such as positions, photoelectric absorption (nH), spin and orbital periods, and distances or redshifts, were collected for all ~500 sources detected by INTEGRAL-ISGRI so far. We investigate where new and previously-known ... More

Liquid crystal films as on-demand, variable thickness (50-5000 nm) targets for intense lasersMay 22 2014We have developed a new type of target for intense laser-matter experiments that offers significant advantages over those currently in use. The targets consist of a liquid crystal film freely suspended within a metal frame. They can be formed rapidly ... More

Time-resolved characterization of the formation of a collisionless shockApr 24 2013We report on the temporally and spatially resolved detection of the precursory stages that lead to the formation of an unmagnetized, supercritical collision-less shock in a laser-driven laboratory experiment. The measured evolution of the electrostatic ... More

Observation and characterization of laser-driven Phase Space Electron HolesAug 31 2009The direct observation and full characterization of a Phase Space Electron Hole (EH) generated by laser-matter interaction is presented. This structure has been detected via proton radiography during the interaction between an intense laser pulse (t=1ns ... More

Transient electric fields in laser plasmas observed by proton streak deflectometryJan 25 2008A novel proton imaging technique was applied which allows a continuous temporal record of electric fields within a time window of several nanoseconds. This "proton streak deflectometry" was used to investigate transient electric fields of intense (~ 10^17 ... More

Nonlinear Localized Excitations and the Dynamics of H-Bonds in DNAJul 27 1994We analyze typical models which intend to describe (parts of) the dynamics of H-Bonds in DNA. We show that these models generically allow for nonlinear localized excitatons (NLEs) (discrete breathers). We especially study the scattering of phonons by ... More

Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and EigenvaluesSep 26 2015Jun 29 2018{\bf Abstract.} We show that two hierarchies of spin Hamilton operators admit the same spectrum. Both Hamilton operators play a central role for quantum gates in particular for the case spin-$\frac12$ and the case spin-1. The spin-$\frac12$, spin-1, spin-$\frac32$ ... More

Boolean Functions, Quantum Gates, Hamilton Operators, Spin Systems and Computer AlgebraJan 10 2014Jan 02 2015We describe the construction of quantum gates (unitary operators) from boolean functions and give a number of applications. Both non-reversible and reversible boolean functions are considered. The construction of the Hamilton operator for a quantum gate ... More

Hamilton Operators, Discrete Symmetries, Brute Force and SymbolicC++Aug 23 2012To find the discrete symmetries of a Hamilton operator $\hat H$ is of central importance in quantum theory. Here we describe and implement a brute force method to determine the discrete symmetries given by permutation matrices for Hamilton operators acting ... More