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Bias-free Measurement of Giant Molecular Cloud PropertiesJan 31 2006(abridged) We review methods for measuring the sizes, line widths, and luminosities of giant molecular clouds (GMCs) in molecular-line data cubes with low resolution and sensitivity. We find that moment methods are robust and sensitive -- making full ... More

The Resolved Distributions of Dust Mass and Temperature in Local Group GalaxiesFeb 22 2019We utilize archival far-infrared maps from the Herschel Space Observatory in four Local Group galaxies (Small and Large Magellanic Clouds, M31, and M33). We model their Spectral Energy Distribution (SED) from 100 to 500 $\mu$m using a single-temperature ... More

Spatially extended and high-velocity dispersion molecular component in spiral galaxies: single-dish vs. interferometric observationsJan 22 2015Recent studies of the molecular medium in nearby galaxies have provided mounting evidence that the molecular gas can exist in two phases: one that is clumpy and organized as molecular clouds and another one that is more diffuse. This last component has ... More

The Relationship between CO Emission and Visual Extinction Traced by Dust Emission in the Magellanic CloudsApr 10 2015To test the theoretical understanding that finding bright CO emission depends primarily on dust shielding, we investigate the relationship between CO emission ($I_{\rm CO}$) and the amount of dust (estimated from IR emission and expressed as "$A_V$") ... More

The constant of recognizability is computable for primitive morphismsOct 18 2016Moss\'e proved that primitive morphisms are recognizable. In this paper we give a computable upper bound for the constant of recognizability of such a morphism. This bound can be expressed only using the cardinality of the alphabet and the length of the ... More

Decidability of the isomorphism and the factorization between minimal substitution subshiftsJun 13 2018Classification is a central problem for dynamical systems, in particular for families that arise in a wide range of topics, like substitution subshifts. It is important to be able to distinguish whether two such subshifts are isomorphic, but the existing ... More

The Molecular ISM of Dwarf Galaxies on Kiloparsec Scales: A New Survey for CO in Northern, IRAS-detected Dwarf GalaxiesFeb 15 2005We present a new survey for CO in dwarf galaxies using the Kitt Peak 12m telescope. We observed the central regions of 121 northern dwarfs with IRAS detections and no known CO emission. We detect CO in 28 of these galaxies and marginally detect another ... More

Dark Matter in Dwarf Galaxies: Latest Density Profile ResultsOct 07 2003We present high-resolution two-dimensional velocity fields in Halpha and CO of the nearby dwarf galaxy NGC 2976. Our observations were made at both higher spatial resolution (~75 pc) and higher velocity resolution (13 km/s in Halpha and 2 km/s in CO) ... More

Regulation of Star Formation Rates in Multiphase Galactic Disks: a Thermal/Dynamical Equilibrium ModelAug 02 2010We develop a model for regulation of galactic star formation rates Sigma_SFR in disk galaxies, in which ISM heating by stellar UV plays a key role. By requiring simultaneous thermal and (vertical) dynamical equilibrium in the diffuse gas, and star formation ... More

The Nature of Low-Density Star FormationMar 13 2019How do stars manage to form within low-density, HI-dominated gas? Such environments provide a laboratory for studying star formation with physical conditions distinct from starbursts and the metal-rich disks of spiral galaxies where most effort has been ... More

A Portrait of Cold Gas in Galaxies at 60pc Resolution and a Simple Method to Test Hypotheses That Link Small-Scale ISM Structure to Galaxy-Scale ProcessesJun 22 2016The cloud-scale density, velocity dispersion, and gravitational boundedness of the interstellar medium (ISM) vary within and among galaxies. In turbulent models, these properties play key roles in the ability of gas to form stars. New high fidelity, high ... More

A Test of Star Formation Laws in Disk Galaxies. II. Dependence on dynamical propertiesApr 04 2014We use observed radial profiles of mass surface densities of total, $\Sigma_g$, & molecular, $\Sigma_{\rm H2}$, gas, rotation velocity & star formation rate (SFR) surface density, $\Sigma_{\rm sfr}$, of the molecular-rich ($\Sigma_{\rm H2}\ge\Sigma_{\rm ... More

High-Resolution Measurements of the Dark Matter Halo of NGC 2976: Evidence for a Shallow Density ProfileJul 08 2003We have obtained two-dimensional velocity fields of the dwarf spiral galaxy NGC 2976 in Halpha and CO. The high spatial (~75 pc) and spectral (13 km/s and 2 km/s, respectively) resolution of these observations, along with our multicolor optical and near-infrared ... More

The CO-to-H2 Conversion FactorJan 15 2013Jun 08 2013CO line emission represents the most accessible and widely used tracer of the molecular interstellar medium. This renders the translation of observed CO intensity into total H2 gas mass critical to understand star formation and the interstellar medium ... More

Dark Matter in Dwarf Galaxies: High Resolution ObservationsNov 11 2003We present observations and analysis of rotation curves and dark matter halo density profiles in the central regions of four nearby dwarf galaxies. This observing program has been designed to overcome some of the limitations of other rotation curve studies ... More

The Density Profile of the Dark Matter Halo of NGC 4605Aug 02 2001Aug 31 2001We have obtained ~100 pc resolution CO and ~60 pc resolution Halpha observations of the dwarf spiral galaxy NGC 4605. We use them to derive a high resolution rotation curve and study the central density profile of NGC 4605's dark matter halo. We find ... More

Arm & Interarm Star Formation in Spiral GalaxiesOct 04 2010We investigate the relationship between spiral arms and star formation in the grand-design spirals NGC 5194 and NGC 628 and in the flocculent spiral NGC 6946. Filtered maps of near-IR (3.6 micron) emission allow us to identify "arm regions" that should ... More

The Low CO Content of the Extremely Metal Poor Galaxy I Zw 18Apr 06 2007We present sensitive molecular line observations of the metal-poor blue compact dwarf I Zw 18 obtained with the IRAM Plateau de Bure interferometer. These data constrain the CO J=1-0 luminosity within our 300 pc (FWHM) beam to be L_CO < 1 \times 10^5 ... More

Science with an ngVLA: Molecular Clouds in GalaxiesOct 15 2018Stars form in cold clouds of predominantly molecular (H2) gas. We are just beginning to understand how the formation, properties, and destruction of these clouds varies across the universe. In this chapter, we describe how the thermal line imaging capabilities ... More

What Phase of the Interstellar Medium Correlates with the Star Formation Rate?Jan 06 2011Feb 11 2011Nearby spiral galaxies show an extremely tight correlation between tracers of molecular hydrogen (H_2) in the interstellar medium (ISM) and tracers of recent star formation, but it is unclear whether this correlation is fundamental or accidental. In the ... More

Complex Radio Spectral Energy Distributions in Luminous and Ultraluminous Infrared GalaxiesJul 20 2011We use the Expanded Very Large Array to image radio continuum emission from local luminous and ultraluminous infrared galaxies (LIRGs and ULIRGs) in 1 GHz windows centered at 4.7, 7.2, 29, and 36 GHz. This allows us to probe the integrated radio spectral ... More

Collapse and revival of a Dicke-type coherent narrowing in potassium vapor confined in a nanometric-thin cellNov 12 2015A nanometer-thin-cell (in the direction of laser beam propagation) has been elaborated with the thickness of the atomic vapor column varying smoothly in the range of $L = \unit[50-1500]{nm}$. The cell allows one to study the behavior of the resonance ... More

Reliable operations on oscillatory functionsMay 14 1999Approximate $p$-point Leibniz derivation formulas as well as interpolatory Simpson quadrature sums adapted to oscillatory functions are discussed. Both theoretical considerations and numerical evidence concerning the dependence of the discretization errors ... More

Giant Molecular Clouds in Local Group GalaxiesFeb 27 2006We present the first comparative study of extragalactic GMCs using complete data sets for entire galaxies and a uniform set of reduction and analysis techniques. We present results based on CO observations for the LMC, SMC, M33, M31, IC10 and the nucleus ... More

The Spitzer Survey of the Small Magellanic Cloud: FIR Emission and Cold Gas in the SMCNov 22 2006We present new far infrared maps of the Small Magellanic Cloud (SMC) at 24, 70, and 160 microns obtained as part of the Spitzer Survey of the Small Magellanic Cloud (S3MC,Bolatto et al. 2006). These maps cover most of the active star formation in the ... More

The Green Bank Telescope Maps the Dense, Star-Forming Gas in the Nearby Starburst Galaxy M82Dec 05 2013Observations of the Milky Way and nearby galaxies show that dense molecular gas correlates with recent star formation, suggesting that the formation of this gas phase may help regulate star formation. A key test of this idea requires wide-area, high-resolution ... More

Response of graphene to femtosecond high-intensity laser irradiationMay 05 2011We study the response of graphene to high-intensity 10^11-10^12 Wcm^-2, 50-femtosecond laser pulse excitation. We establish that graphene has a fairly high (~3\times10^12Wcm^-2) single-shot damage threshold. Above this threshold, a single laser pulse ... More

Dust/gas correlations from Herschel ObservationsMay 14 2010Spitzer and IRAS observations of the LMC suggest an excess of FIR emission with respect to the gas surface density traced by 12CO and HI 21 cm emission lines. This "FIR excess" is noticeable near molecular clouds in the LMC, and has usually been interpreted ... More

Resolved Properties of Extragalactic Giant Molecular CloudsOct 15 2008Giant molecular clouds (GMCs) are the major reservoirs of molecular gas in galaxies, and the starting point for star formation. As such, their properties play a key role in setting the initial conditions for the formation of stars. We present a comprehensive ... More

Unusual CO Line Ratios and kinematics in the N83/N84 Region of the Small Magellanic CloudJun 06 2003We present new CO 1-0 and 2-1 observations of the N83/N84 molecular cloud complex in the south-east Wing of the Small Magellanic Cloud (SMC). While the 2-1/1-0 integrated line brightness ratio (in temperature units) is uniformly 0.9 throughout most of ... More

Scaling relations of the properties for CO resolved structures in nearby spiral galaxiesJun 18 2015We report high spatial resolution observations of Giant Molecular Clouds (GMCs) in the nearby spiral galaxies NGC 6946, M101 and NGC 628 obtained with the CARMA telescope. We observed CO(1-0) over regions with active star formation, and higher resolution ... More

The Radio Continuum-Star Formation Rate Relation in WSRT SINGS GalaxiesFeb 07 2014Apr 04 2014We study the spatially resolved Radio Continuum-Star Formation Rate (RC-SFR) relation using state-of-the-art star-formation (SF) tracers in a sample of 17 THINGS galaxies. We use hybrid Sigma_SFR maps (GALEX FUV plus Spitzer 24 mu), RC maps at 22/18 cm ... More

A High Resolution Study of the HI-H2 Transition across the Perseus Molecular CloudOct 12 2011May 11 2012To investigate the fundamental principles of H2 formation in a giant molecular cloud (GMC), we derive the HI and H2 surface density (Sigma_HI and Sigma_H2) images of the Perseus molecular cloud on sub-pc scales (~0.4 pc). We use the far-infrared data ... More

The RESOLVE Survey Atomic Gas Census and Environmental Influences on Galaxy Gas ReservoirsOct 21 2016We present the HI mass inventory for the RESOLVE survey, a volume-limited, multi-wavelength census of >1500 z=0 galaxies spanning diverse environments and complete in baryonic mass down to dwarfs of 10^9 Msun. This first 21cm data release provides robust ... More

High-Resolution Measurements of the Halos of Four Dark Matter-Dominated Galaxies: Deviations from a Universal Density ProfileDec 02 2004We derive rotation curves for four nearby, low-mass spiral galaxies and use them to constrain the shapes of their dark matter density profiles. This analysis is based on high-resolution two-dimensional Halpha velocity fields of NGC 4605, NGC 5949, NGC ... More

Observational Evidence Against Long-Lived Spiral Arms in GalaxiesMay 25 2011We test whether the spiral patterns apparent in many large disk galaxies should be thought of as dynamical features that are stationary in a co-rotating frame for > t_{dyn}, as implied by the density wave approach for explaining spiral arms. If such spiral ... More

The Molecular Clouds Fueling a 1/5 Solar Metallicity StarburstJul 06 2016Sep 02 2016Using the Atacama Large Millimeter/submillimeter Array, we have made the first high spatial and spectral resolution observations of the molecular gas and dust in the prototypical blue compact dwarf galaxy II Zw 40. The CO(2-1) and CO(3-2) emission is ... More

Infrared Sources in the Small Magellanic Cloud: First ResultsMar 30 2006We have imaged the entire Small Magellanic Cloud (SMC), one of the two nearest star-forming dwarf galaxies, in all seven IRAC and MIPS bands. The low mass and low metallicity (1/6 solar) of the SMC make it the best local analog for primitive galaxies ... More

On the Variation of Gas Depletion TimeNov 09 2015We present an updated status of the EDGE project, which is a survey of 125 local galaxies in the $^{12}$CO($1-0$) and $^{13}$CO($1-0$) lines. We combine the molecular data of the EDGE survey with the stellar and ionized gas maps of the CALIFA survey to ... More

Science with an ngVLA: Gas Density Across the UniverseOct 15 2018Gas density is widely believed to play a governing role in star formation. However, the exact role of density in setting the star formation rate remains debated. We also lack a general theory that explains how the gas density distribution in galaxies ... More

The Scale Dependence of the Molecular Gas Depletion Time in M33Sep 08 2010We study the Local Group spiral galaxy M33 to investigate how the observed scaling between the (kpc-averaged) surface density of molecular gas (\Sigma_H2) and recent star formation rate (\Sigma_SFR) relates to individual star-forming regions. To do this, ... More

The Resolved Properties of Extragalactic Giant Molecular CloudsJun 30 2008Aug 14 2008We use high spatial resolution observations of CO to systematically measure the resolved size-line width, luminosity-line width, luminosity-size, and the mass-luminosity relations of Giant Molecular Clouds (GMCs) in a variety of extragalactic systems. ... More

Detection of an OH 1665-MHz Maser in M33Jan 31 2018We report one OH 1665-MHz detection in new observations with the NSF's Karl G. Jansky Very Large Array. To the authors' knowledge, this is the first OH maser detection in M33. The source occurs at a position of $\alpha=23.50069(9)^{\circ}$ and $\delta ... More

Giant molecular clouds in the non-grand design spiral galaxy NGC 6946Aug 27 2012We present high spatial resolution observations of Giant Molecular Clouds (GMCs) in the eastern part of the nearby spiral galaxy NGC 6946 obtained with the Combined Array for Research in Millimeter-wave Astronomy (CARMA). We have observed 12CO(1-0), 12CO(2-1) ... More

Science with an ngVLA: How Do Cold Gas Outflows Shape Galaxies?Oct 15 2018The ngVLA will obtain breakthrough observations of the cold phases (molecular and atomic) of galactic outflows. These observations will be key to study the driving mechanisms of cold winds, the fate of the gas, the mass-loss rates, the conditions that ... More

Molecular Gas in Nearby Dwarf Galaxies: Single Dish and Interferometric ResultsNov 11 2003We present results from an extensive survey of molecular gas in nearby dwarf galaxies. This survey consists of a single-dish search for CO emission at the UASO Kitt Peak 12m telescope and interferometric follow-up using the Berkeley-Illinois-Maryland ... More

Faint CO Line Wings in Four Star-Forming (Ultra)luminous Infrared GalaxiesAug 13 2015We report the results of a search for large velocity width, low-intensity line wings - a commonly used signature of molecular outflows - in four low redshift (ultra)luminous infrared galaxies (U/LIRGs) that appear to be dominated by star formation. The ... More

The State of the Gas and the Relation Between Gas and Star Formation at Low Metallicity: the Small Magellanic CloudJul 08 2011We compare atomic gas, molecular gas, and the recent star formation rate (SFR) inferred from H-alpha in the Small Magellanic Cloud (SMC). By using infrared dust emission and local dust-to-gas ratios, we construct a map of molecular gas that is independent ... More

Next Generation Very Large Array Memo No. 7 Science Working Group 2: "Galaxy Ecosystems": The Matter Cycle in and Around GalaxiesOct 21 2015This white paper discusses how a "next-generation" Very Large Array (ngVLA) operating in the frequency range 1-116 GHz could be a groundbreaking tool to study the detailed astrophysics of the "matter cycle" in the Milky Way and other galaxies. If optimized ... More

Counting Subwords Occurrences in Base-b ExpansionsMay 29 2017We count the number of distinct (scattered) subwords occurring in the base-b expansion of the non-negative integers. More precisely, we consider the sequence $(S_b(n))_{n\ge 0}$ counting the number of positive entries on each row of a generalization of ... More

Asymptotic properties of free monoid morphismsJul 01 2015Apr 15 2016Motivated by applications in the theory of numeration systems and recognizable sets of integers, this paper deals with morphic words when erasing morphisms are taken into account. Cobham showed that if an infinite word $w =g(f^\omega(a))$ is the image ... More

An analogue of Cobham's theorem for graph directed iterated function systemsOct 01 2013Nov 25 2013Feng and Wang showed that two homogeneous iterated function systems in $\mathbb{R}$ with multiplicatively independent contraction ratios necessarily have different attractors. In this paper, we extend this result to graph directed iterated function systems ... More

Generalized Pascal triangle for binomial coefficients of wordsMay 23 2017We introduce a generalization of Pascal triangle based on binomial coefficients of finite words. These coefficients count the number of times a word appears as a subsequence of another finite word. Similarly to the Sierpi\'nski gasket that can be built ... More

Construction and counting of the number operators of an $n$-degree-of-freedom normalized non-resonant vibrational HamiltonianDec 04 2015The present paper is the first of two articles aimed at constructing $n$-degree-of-freedom Hamiltonian systems by an algebraic approach. In molecular spectroscopy, the construction of vibrational Hamiltonian for strongly excited molecular systems by using ... More

Summary of WG4: "Lifetime, mixing and weak mixing phase in charm and beauty, including direct determination of V_{tx}Mar 25 2011We present the summary of the Working Group on lifetimes, mixing and weak mixing phases in charm and beauty mesons at the CKM 2010 workshop. In the past year or so good progress was achieved on both experimental and theoretical sides. While this yields ... More

Approximating Cayley diagrams versus Cayley graphsMar 25 2011Nov 15 2011We construct a sequence of finite graphs that weakly converge to a Cayley graph, but there is no labelling of the edges that would converge to the corresponding Cayley diagram. A similar construction is used to give graph sequences that converge to the ... More

Can all muscular load sharing patterns be regarded as optimal in some sense?Nov 16 2006Muscles crossing a joint usually outnumber its degrees of freedom, which renders the motor system underdetermined. Typically, optimization laws are postulated to cope with this redundancy. A natural question then arises whether all muscular load sharing ... More

Non-commutative rational Yang-Baxter mapsAug 13 2013Aug 14 2013Starting from multidimensional consistency of non-commutative lattice modified Gel'fand-Dikii systems we present the corresponding solutions of the functional (set-theoretic) Yang-Baxter equation, which are non-commutative versions of the maps arising ... More

On $τ$-function of the quadrilateral latticeDec 31 2008We investigate the $\tau$-function of the quadrilateral lattice using the nonlocal $\bar\partial$-dressing method, and we show that it can be identified with the Fredholm determinant of the integral equation which naturally appears within that approach. ... More

The normal dual congruences and the dual Bianchi latticeDec 15 2003The main goal of this paper is to find the discrete analogue of the Bianchi system in spaces of arbitrary dimesion together with its geometric interpretation. We show that the proper geometric framework of such generalization is the language of dual quadrilateral ... More

The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa systemJun 17 2010We study recently introduced Desargues maps, which provide simple geometric interpretation of the non-commutative Hirota--Miwa system. We characterize them as maps of the A-type root lattice into a projective space such that images of vertices of any ... More

Quadratic reductions of quadrilateral latticesFeb 13 1998It is shown that quadratic constraints are compatible with the geometric integrability scheme of the multidimensional quadrilateral lattice equation. The corresponding Ribaucour reduction of the fundamental transformation of quadrilateral lattices is ... More

Vector boson scattering at high mass with ATLASOct 14 2008In the absence of a light Higgs boson, the mechanism of electroweak symmetry breaking will be best studied in processes of vector boson scattering at high mass. Various models predict resonances in this channel. Scalar and vector resonances have been ... More

Existence of traveling waves for the nonlocal Burgers equationMar 27 2006We study the equation $u_t +uu_x +u-K*u=0$ in the case of an arbitrary $K \geq 0$, which is a generalization of a model for radiating gas, in which $K(y)={1/2}e^{-|y|}$. Using a monotone iteration scheme argument we establish the existence of traveling ... More

Divide-And-Conquer Computation of Cylindrical Algebraic DecompositionFeb 04 2014We present a divide-and-conquer version of the Cylindrical Algebraic Decomposition (CAD) algorithm. The algorithm represents the input as a Boolean combination of subformulas, computes cylindrical algebraic decompositions of solution sets of the subformulas, ... More

The OPERA experiment Target TrackerJan 12 2007The main task of the Target Tracker detector of the long baseline neutrino oscillation OPERA experiment is to locate in which of the target elementary constituents, the lead/emulsion bricks, the neutrino interactions have occurred and also to give calorimetric ... More

A Paradigm Lost: New Theories for Aspherical PNeDec 09 1999Theoretical Models for the shaping of PNe are reviewed in light of new high resolution images. The new data indicate the purely hydrodynamic interacting stellar winds model can not recover the full variety of shapes and kinematics. New models, some speculative, ... More

Existence of approximate Hermitian-Einstein structures on semi-stable bundlesDec 08 2010Aug 26 2013The purpose of this paper is to investigate canonical metrics on a semi-stable vector bundle E over a compact Kahler manifold X. It is shown that, if E is semi-stable, then Donaldson's functional is bounded from below. This implies that E admits an approximate ... More

Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifoldsOct 17 2011Oct 27 2014Let $X$ be a compact Gauduchon manifold, and let $E$ and $V_0$ be holomorphic vector bundles over $X$. Suppose that $E$ is stable when considering all subsheaves preserved by a Higgs field $\theta\in H^0($End$(E)\otimes V_0)$. Then a modified version ... More

Comment on covariant Stora--Zumino chain termsMar 23 1999In a recent paper, Ekstrand proposed a simple expression from which covariant anomaly, covariant Schwinger term and higher covariant chain terms may be computed. We comment on the relation of his result to the earlier work of Tsutsui.

Massive Schwinger model within mass perturbation theoryApr 08 1997In this article we give a detailed discussion of the mass perturbation theory of the massive Schwinger model. After discussing some general features and briefly reviewing the exact solution of the massless case, we compute the vacuum energy density of ... More

Decay widths and scattering processes in massive QED$_2$Oct 06 1997Using mass perturbation theory, we infer the bound-state spectrum of massive QED$_2$ and compute some decay widths of unstable bound states. Further, we discuss scattering processes, where all the resonances and particle production thresholds are properly ... More

Vacuum Functional and Fermion Condensate in the Massive Schwinger ModelJul 11 1995We derive a systematic procedure of computing the vacuum functional and fermion condensate of the massive Schwinger model via a perturbative expansion in the fermion mass. We compute numerical results for the first nontrivial order.

Oscillatory behaviour in a lattice prey-predator systemOct 07 1999Using Monte Carlo simulations we study a lattice model of a prey-predator system. We show that in the three-dimensional model populations of preys and predators exhibit coherent periodic oscillations but such a behaviour is absent in lower-dimensional ... More

Dimensional reduction in a model with infinitely many absorbing statesOct 04 1999Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation universality class. ... More

All ASD complex and real 4-dimensional Einstein spaces with $Λ\ne 0$ admitting a nonnull Killing vectorDec 16 2013Feb 02 2015Anti-self-dual (ASD) 4-dimensional complex Einstein spaces with nonzero cosmological constant $\Lambda$ equipped with a nonnul Killing vector are considered. It is shown, that any conformally nonflat metric of such spaces can be always brought to a special ... More

Subset Space Public Announcement Logic RevisitedFeb 16 2013By a modification of the central definition given in [W\'ang and {\AA}gotnes, 2013], we provide semantics for public annoucements in subset spaces. We argue that these revised semantics improve on the original, and we provide a simple sound and complete ... More

On some examples of para-Hermite and para-Kähler Einstein spaces with $Λ\ne 0$Feb 09 2016Nov 14 2016Spaces equipped with two complementary (distinct) congruences of self-dual null strings and at least one congruence of anti-self-dual null strings are considered. It is shown that if such spaces are Einsteinian then the vacuum Einstein field equations ... More

Invariant sets for QMF functionsOct 08 2015Oct 13 2015A quadrature mirror filter (QMF) function can be considered as a $g$-function on a space of binary sequences. The QMF functions that give rise to multiresolution analyses are then distinguished by their invariant sets. By characterizing them, we answer ... More

The solution of a generalized secretary problem via analytic expressionsJul 26 2016Oct 18 2016Given integers $1\leq k<n$, the Gusein-Zade version of a generalized secretary problem is to choose one of the $k$ best of $n$ candidates for a secretary, which are interviewing in random order. The stopping rule in the selection is based only on the ... More

The classification of abelian groups generated by time-varying automata and by Mealy automata over the binary alphabetJul 26 2016For every natural number $n$, we classify abelian groups generated by an $n$-state time-varying automaton over the binary alphabet, as well as by an $n$-state Mealy automaton over the binary alphabet.

The energy dependence of $p_t$ angular correlations inferred from mean-$p_{t}$ fluctuation scale dependence in heavy ion collisions at the SPS and RHICMay 17 2006Dec 07 2006We present the first study of the energy dependence of $p_t$ angular correlations inferred from event-wise mean transverse momentum $<p_{t} >$ fluctuations in heavy ion collisions. We compare our large-acceptance measurements at CM energies $\sqrt{s_{NN}} ... More

The multiplicity dependence of inclusive $p_t$ spectra from p-p collisions at $\sqrt{s}$ = 200 GeVJun 23 2006Jun 26 2006We report measurements of transverse momentum $p_t$ spectra for ten event multiplicity classes of p-p collisions at $\sqrt{s} = 200$ GeV. By analyzing the multiplicity dependence we find that the spectrum shape can be decomposed into a part with amplitude ... More

Classification of the traceless Ricci tensor in 4-dimensional pseudo-Riemannian spaces of neutral signatureOct 29 2016The traceless Ricci tensor $C_{ab}$ in 4-dimensional pseudo-Riemannian spaces equipped with the metric of the neutral signature is analyzed. Its algebraic classification is given. This classification uses the properties of $C_{ab}$ treated as a matrix. ... More

Top-down and bottom-up excursions beyond the Standard Model: The example of left-right symmetries in supersymmetryApr 17 2014In this Ph.D thesis three main projects are presented. In the first one the phenomenology associated with the neutralinos and charginos sector of the left-right symmetric supersymmetric model is explored. After a detailed motivation of the study and construction ... More

The Khovanov width of twisted links and closed 3-braidsJan 15 2009Jan 16 2009Khovanov homology is a bigraded Z-module that categorifies the Jones polynomial. The support of Khovanov homology lies on a finite number of slope two lines with respect to the bigrading. The Khovanov width is essentially the largest horizontal distance ... More

On knot Floer width and Turaev genusSep 05 2007To each knot $K\subset S^3$ one can associated its knot Floer homology $\hat{HFK}(K)$, a finitely generated bigraded abelian group. In general, the nonzero ranks of these homology groups lie on a finite number of slope one lines with respect to the bigrading. ... More

Common subfields of p-algebras of prime degreeMar 08 2015We show that if two division $p$-algebras of prime degree share an inseparable field extension of the center then they also share a cyclic separable one. We show that the converse is in general not true. We also point out that sharing all the inseparable ... More

Fredholm operators in the Toeplitz Algebra $\mathcal{I}(QC)$Sep 09 2014May 04 2016We will give a complete description of $\mathcal{I}$, the set of invertible quasicontinuous functions on the unit circle. After doing this, we will then classify the path-connected components of $\mathcal{I}$ and show that $\mathcal{I}$ has uncountably ... More

SUSY Searches at the TevatronAug 05 2008Numerous searches for evidence of supersymmetry at the Tevatron have been performed by the CDF and D0 collaborations. Recent results are presented here including squarks and gluinos in jets and missing transverse energy, stop in several different decay ... More

A Note on Domain Walls and the Parameter Space of N=1 Gauge TheoriesAug 21 2003Sep 22 2003We study the spectrum of BPS domain walls within the parameter space of N=1 U(N) gauge theories with adjoint matter and a cubic superpotential. Using a low energy description obtained by compactifying the theory on R^3 x S^1, we examine the wall spectrum ... More

Generalized augmented alternating links and hyperbolic volumeJun 09 2015Augmented alternating links are links obtained by adding trivial components that bound twice-punctured disks to non-split reduced non-2-braid prime alternating projections. These links are known to be hyperbolic. Here, we extend to show that generalized ... More

The ideal structure of reduced crossed productsApr 23 2008Mar 16 2009Let (A,G) be a C*-dynamical system with G discrete. In this paper we investigate the ideal structure of the reduced crossed product C*-algebra and in particular we determine sufficient - and in some cases also necessary - conditions for A to separate ... More

Computing twisted KLV polynomialsOct 12 2017In order to compute Hermitian forms on representations of real reductive groups, in the unequal rank case, it is necessary to compute twisted Kazhdan-Lusztig-Vogan polynomials. These were defined by Lusztig and Vogan (Quasisplit Hecke algebras and Symmetric ... More

Quantum stochastic convolution cocyclesAug 30 2006A concept of quantum stochastic convolution cocycle is introduced and studied in two different contexts -- purely algebraic and operator space theoretic. A quantum stochastic convolution cocycle is a quantum stochastic process on a coalgebra satisfying ... More

Local freeness in frame bundle prolongations of $C^\infty$ actionsAug 23 2016May 24 2017Let $G$~be a real Lie group and let $G^\circ$ be the identity component of~$G$. Let $G$~act on a $C^\infty$ real manifold~$M$. Assume the action is $C^\infty$. Assume that the fixpoint set of any nontrivial element of~$G^\circ$ has empty interior in~$M$. ... More

Riesz transform, Gaussian bounds and the method of wave equationJul 22 2003For an abstract self-adjoint operator $L$ and a local operator $A$ we study the boundedness of the Riesz transform $AL^{-\alpha}$ on $L^p$ for some $\alpha >0$. A very simple proof of the obtained result is based on the finite speed propagation property ... More

Ratner's property for special flows over irrational rotations under functions of bounded variation. IIJul 30 2013We consider special flows over the rotation on the circle by an irrational $\alpha$ under roof functions of bounded variation. The roof functions, in the Lebesgue decomposition, are assumed to have a continuous singular part coming from a quasi-similar ... More

Study of forbidden atomic transitions on $D_2$ line using Rb nano-cell placed in external magnetic fieldNov 24 2011By experimental exploration of the so-called $\lambda $-Zeeman technique based on Rb nano-cell use we reveal for the first time a strong modification of the probability of the $^{87}$Rb, $D_2$ line $F_g=1 \rightarrow F_e=0, 1, 2, 3$ atomic transitions, ... More

Short-length storage of intense optical pulses in solid by adiabatic passageJun 23 2008We propose a novel scheme of storage of intense pulses which allows a significant reduction of the storage length with respect to standard schemes. This scheme is particularly adapted to store optical information in media with fast relaxations.