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Externally heated protostellar cores in the Ophiuchus star-forming regionNov 21 2016Nov 22 2016We present APEX 218 GHz observations of molecular emission in a complete sample of embedded protostars in the Ophiuchus star-forming region. To study the physical properties of the cores, we calculate H$_2$CO and c-C$_3$H$_2$ rotational temperatures, ... More

The ALMA-PILS survey: The sulphur connection between protostars and comets: IRAS 16293-2422 B and 67P/Churyumov-GerasimenkoFeb 08 2018The evolutionary past of our Solar System can be pieced together by comparing analogous low-mass protostars with remnants of our Protosolar Nebula - comets. Sulphur-bearing molecules may be unique tracers of the joint evolution of the volatile and refractory ... More

Externally heated protostellar cores in the Ophiuchus star-forming regionNov 21 2016We present APEX 218 GHz observations of molecular emission in a complete sample of embedded protostars in the Ophiuchus star-forming region. To study the physical properties of the cores, we calculate H$_2$CO and c-C$_3$H$_2$ rotational temperatures, ... More

From chaotic to disordered systems - a periodic orbit approachFeb 26 1998We apply periodic orbit theory to a quantum billiard on a torus with a variable number N of small circular scatterers distributed randomly. Provided these scatterers are much smaller than the wave length they may be regarded as sources of diffraction. ... More

First determination of the electric charge of the top quarkFeb 01 2007In this thesis, the first determination of the electric charge of the top quark is presented using 370pb-1 of data recorded by the D0 detector at the Fermilab Tevatron accelerator. ttbar events are selected with one isolated electron or muon and at least ... More

Three-Neutrino MSW Effect and the Lehmann Mass MatrixOct 22 2002Recent work on analytical solutions to the MSW equations for three neutrino flavours is reviewed, with emphasis on the exponential density. Application to a particular mass matrix, proposed by Lehmann, Newton and Wu, is also discussed. Within this model, ... More

Spin(p+1,p+1) Covariant Dp-brane Bound StatesNov 30 2000We construct Spin(p+1,p+1) covariant Dp-brane bound states by using that the potentials in the RR sector of toroidically compactified type II supergravity transform as a chiral spinor of the T-duality group. As an application, we show the invariance of ... More

Hawking Radiation from Black Holes Formed During Quantum TunnelingMar 28 1994Mar 28 1994We study the behaviour of scalar fields on background geometries which undergo quantum tunneling. The two examples considered are a moving mirror in flat space which tunnels through a potential barrier, and a false vacuum bubble which tunnels to form ... More

Surface assembly and ultrafast operation of all-nanoscale resonant-tunneling transistorsSep 01 2003Oct 12 2011Realization of a robust nanotube-heterostructure tunneling transistors [Solid State Comm. 116, p. 569 (2000)] requires the difficult formation [Science 293, p. 76 (2001)] of a central nanoscale barrier separating a pair of outside metallic leads. Here ... More

Model of Outgrowths in the Spiral Galaxies NGC 4921 and NGC 7049 and the Origin of Spiral ArmsNov 15 2012NGC 4921 and 7049 are two spiral galaxies presenting narrow, distinct dust features. A detailed study of the morphology of those features has been carried out using Hubble Space Telescope archival images. NGC 4921 shows a few but well-defined dust arms ... More

Postulates for and measurements in Everett's quantum mechanicsMar 03 2016Mar 20 2016Everetts Relative State Interpretation (aka Many Worlds Interpretation) has gained increasing interest due the progress understanding the role of decoherence. In order to fullfil its promise as an intellectually economic realistic description of the physical ... More

Discontinuous transitions: Multiphasic profiles for channels, binding, pH, folding and chain lengthNov 20 2015Dec 07 2015A wide variety of biological as well as non-biological processes and phenomena involving ion channels, binding, pH, folding/unfolding and effects of chain length are well represented by multiphasic profiles, a series of straight lines separated by discontinuous ... More

Discriminants, symmetrized graph monomials, and sums of squares certificatesFeb 02 2012Here we present certificates for 5 classes of 6-edged multigraphs whose symmetrized graph monomials may be represented as sum of squares, but not as linear combinations of partition square graphs. This is a complement to the results presented in Discriminants, ... More

On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potentialApr 04 2011In this paper, we generalize several results of the article "Analytic continuation of eigenvalues of a quartic oscillator" of A. Eremenko and A. Gabrielov. We consider a family of eigenvalue problems for a Schr\"odinger equation with even polynomial potentials ... More

Anomalies at high temperatureFeb 23 1998The anomaly equation can be derived from the ultraviolet properties of quantum field theory and should, therefore, not depend on infrared properties, such as the presence of a thermal heat bath. There is also an infrared explanation of anomalies which ... More

Dispersion relations from the Hard Thermal Loop effective action in a magnetic fieldOct 17 1995Dispersion relations for fermions at high temperature and in a background magnetic field are calculated in two different ways. First from a straightforward one-loop calculation where, in the weak field limit, we find an expression closely related to the ... More

Gelfand-Tsetlin polytopes and the integer decomposition propertyMay 19 2014Nov 25 2015Let $P$ be the Gelfand--Tsetlin polytope defined by the skew shape $\lambda/\mu$ and weight $w$. In the case corresponding to a standard Young tableau, we completely characterize for which shapes $\lambda/\mu$ the polytope $P$ is integral. Furthermore, ... More

Non-symmetric Macdonald polynomials and Demazure-Lusztig operatorsFeb 16 2016Apr 15 2016We extend the family non-symmetric Macdonald polynomials and define general-basement Macdonald polynomials. We show that these also satisfy a triangularity property with respect to the monomials bases and behave well under the Demazure-Lusztig operators. ... More

Dark mammoth trunks in the merging galaxy NGC 1316 and a mechanism of cosmic double helicesMar 30 2010NGC 1316 is a giant, elliptical galaxy containing a complex network of dark, dust features. The morphology of these features has been examined in some detail using a Hubble Space Telescope, Advanced Camera for Surveys image. It is found that most of the ... More

Density-functional theory of nonequilibrium tunnelingJul 28 2008Aug 03 2008Nanoscale optoelectronics and molecular-electronics systems operate with current injection and nonequilibrium tunneling, phenomena that challenge consistent descriptions of the steady-state transport. The current affects the electron-density variation ... More

Dynamics of Anti-de Sitter Domain WallsOct 18 1999Oct 26 1999We study solutions corresponding to moving domain walls in the Randall-Sundrum universe. The bulk geometry is given by patching together black hole solutions in AdS$_5$, and the motion of the wall is determined from the junction equations. Observers on ... More

Spin-Orbit Interaction from Matrix TheorySep 28 1997Oct 27 1997We study the leading order spin dependence of graviton scattering in eleven dimensions, and show that the results obtained from supergravity and from Matrix Theory precisely agree.

On the effect of pruning on the singularity structure of zeta functionsJun 13 1996We investigate the topological zeta function for unimodal maps in general and dynamical zeta functions for the tent map in particular. For the generic situation, when the kneading sequence is aperiodic, it is shown that the zeta functions have a natural ... More

On the duality between periodic orbit statistics and quantum level statisticsFeb 01 1995We discuss consequences of a recent observation that the sequence of periodic orbits in a chaotic billiard behaves like a poissonian stochastic process on small scales. This enables the semiclassical form factor $K_{sc}(\tau)$ to agree with predictions ... More

Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functionsJan 02 1995We compute the Lyapunov exponent, generalized Lyapunov exponents and the diffusion constant for a Lorentz gas on a square lattice, thus having infinite horizon. Approximate zeta functions, written in terms of probabilities rather than periodic orbits, ... More

Spin Glasses: Model systems for non-equilibrium dynamicsSep 26 2003Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin glass phase regardless ... More

Magnetic Vortices in High Temperature SuperconductorsFeb 05 2001Feb 06 2001It is suggested that modes, observed in recent neutron scattering experiments by Lake {\it et al.}, on La$_{2-x}$Sr$_x$CuO$_4$ in strong magnetic fields ($\approx$ 7 T), are due to the existence of antiferromagnetic moments associated with the cores of ... More

Non-thermal aspects of black hole radianceAug 04 1995The phenomenon of black hole thermodynamics raises several deep issues which any proper theory of quantum gravity must confront: to what extent does the inclusion of the back-reaction alter the thermal character of the radiation, how can the entropy be ... More

Approximate zeta functions for the Sinai billiard and related systemsFeb 24 1994We discuss zeta functions, and traces of the associated weighted evolution operators for intermittent Hamiltonian systems in general and for the Sinai billiard in particular. The intermittency of this billiard is utilized so that the zeta functions may ... More

Multiphasic profiles for voltage-dependent K+ channels: Reanalysis of data of MacKinnon and coworkersJun 09 2016In a study of the role that voltage-dependent K+ channels may have in the mechanosensation of living cells (Schmidt et al. Proc Soc Natl Acad Sci USA 109: 10352-10357. 2012), the data were as conventionally done fitted by a Boltzmann function. However, ... More

Profiles for voltage-activated currents are multiphasic, not curvilinearMar 16 2016Data for voltage-activation of a potassium channel (Matulef et al. Proc Natl Acad Sci USA 110: 17886-17891. 2013) were, as conventionally done, fitted by the authors by a Boltzmann function, i.e. by a curvilinear profile. Reanalysis of the data reveals ... More

A strict epistemic approach to physicsJan 04 2016Apr 23 2016The general view is that all fundamental physical laws should be formulated within the framework given by quantum mechanics (QM). In a sense, QM therefore has the character of a metaphysical theory. Consequently, if it is possible to derive QM from more ... More

Multiphasic pH profiles for the reaction of tris-(hydroxymethyl)-aminomethane with phenyl estersDec 08 2015Reanalysis of data (Bruice and York 1961) for the pH dependences of the calculated apparent second-order rate constants (k2) for the reaction of tris-(hydroxymethyl)-aminomethane (TRIS) with phenyl esters reveals that the pH profiles are consistently ... More

Generalizing the Markov and covariance interpolation problem using input-to-state filtersApr 07 2011In the Markov and covariance interpolation problem a transfer function $W$ is sought that match the first coefficients in the expansion of $W$ around zero and the first coefficients of the Laurent expansion of the corresponding spectral density $WW^\star$. ... More

Improved Inapproximability For Submodular MaximizationApr 21 2010We show that it is Unique Games-hard to approximate the maximum of a submodular function to within a factor 0.695, and that it is Unique Games-hard to approximate the maximum of a symmetric submodular function to within a factor 0.739. These results slightly ... More

The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limitNov 17 2008Nov 23 2008We perform a detailed study of bosonic type IIA string theory in a large light-cone momentum / near plane wave limit of $AdS_4 \times CP_3$. In order to attain this we derive the Hamiltonian up to cubic and quartic order in number of fields and calculate ... More

Renormalization of Oscillator Lattices with DisorderApr 13 2009A real-space renormalization transformation is constructed for lattices of non-identical oscillators with dynamics of the general form $d\phi_{k}/dt=\omega_{k}+g\sum_{l}f_{lk}(\phi_{l},\phi_{k})$. The transformation acts on ensembles of such lattices. ... More

Escape from intermittent repellers- Periodic orbit theory for crossover from exponential to algebraic decayMar 18 1999May 18 1999We apply periodic orbit theory to study the asymptotic distribution of escape times from an intermittent map. The dynamical zeta function exhibits a branch point which is associated with an asymptotic power law escape. By an analytic continuation technique ... More

The role of singularities in chaotic spectroscopyDec 12 1996We review the status of the semiclassical trace formula with emphasis on the particular types of singularities that occur in the Gutzwiller-Voros zeta function for bound chaotic systems. To understand the problem better we extend the discussion to include ... More

Decay of correlations, Lyapunov exponents and anomalous diffusion in the Sinai billiardNov 02 1995We compute the decay of the velocity autocorrelation function, the Lyapunov exponent and the diffusion constant for the Sinai billiard within the framework of dynamical zeta functions. The asymptotic decay of the velocity autocorrelation function is found ... More

Periodic orbit asymptotics for intermittent Hamiltonian systemsJun 17 1994We address the problems in applying cycle expansions to bound chaotic systems, caused by e.g. intermittency and incompleteness of the symbolic dynamics. We discuss zeta functions associated with weighted evolution operators and in particular a one-parameter ... More

On the worldsheet theory of the type IIA AdS(4) x CP(3) superstringSep 03 2009Mar 19 2010We perform a detailed study of the type IIA superstring in AdS(4) x CP(3). After introducing suitable bosonic light-cone and fermionic kappa worldsheet gauges we derive the pure boson and fermion SU(2|2) x U(1) covariant light-cone Hamiltonian up to quartic ... More

Interference Alignment (IA) and Coordinated Multi-Point (CoMP) overheads and RF impairments: testbed resultsJan 14 2014Mar 16 2014In this work we investigate the network MIMO techniques of interference alignment (IA) and fully adaptive joint transmission coordinated multipoint (CoMP) in an indoor very small cell environment. Our focus is on the overheads in a system with quantized ... More

Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)Mar 06 2014Apr 12 2014In this note we study worldsheet two- and four-point functions at the one-loop level for the type IIA superstring in AdS(3) x S(3) x M(4) . We first address the regularization ambiguity that appears in the dispersion relation derived from integrability. ... More

Polytopes and large counterexamplesSep 02 2016Sep 08 2016In this short note, we give large counterexamples to natural questions about certain order polytopes, in particular, Gelfand--Tsetlin polytopes. Several of the counterexamples are too large to be discovered via a brute-force computer search. We also show ... More

Derivatives as an IR Regulator for Massless FieldsMar 24 1995The free propagator for the scalar $\lambda \phi^4$--theory is calculated exactly up to the second derivative of a background field. Using this propagator I compute the one--loop effective action, which then contains all powers of the field but with at ... More

Stretched skew Schur polynomials are recurrentOct 01 2012We show that sequences of skew Schur polynomials obtained from stretched semi-standard Young tableaux satisfy a linear recurrence, which we give explicitly. Using this, we apply this to finding certain asymptotic behavior of these Schur polynomials and ... More

The Lyapunov exponent in the Sinai billiard in the small scatterer limitJan 11 1996We show that Lyapunov exponent for the Sinai billiard is $\lambda = -2\log(R)+C+O(R\log^2 R)$ with $C=1-4\log 2+27/(2\pi^2)\cdot \zeta(3)$ where $R$ is the radius of the circular scatterer. We consider the disk-to-disk-map of the standard configuration ... More

Lectures on black holes and the AdS_3 / CFT_2 correspondenceSep 11 2006Sep 20 2006We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect ... More

The ATLAS b-Jet TriggerNov 17 2011The online event selection is crucial to reject most of the events containing uninteresting background collisions while preserving as much as possible the interesting physical signals. The b-jet selection is part of the trigger strategy of the ATLAS experiment ... More

Approximative Covariance InterpolationApr 11 2011When methods of moments are used for identification of power spectral densities, a model is matched to estimated second order statistics such as, e.g., covariance estimates. If the estimates are good there is an infinite family of power spectra consistent ... More

'Perfectly' curvilinear profiles for binding as determined by ITC may in fact be multiphasicJun 29 2016In a structural analysis of the proteasome activator PafE in Mycobacterium tuberculosis, the binding of the activator or shorter constructs to the 20S proteasome core particle (20S CP) or derivatives was measured by isothermal titration calorimetry (Bai ... More

Combinatorial proof of the skew K-saturation theoremJul 15 2013Jun 27 2014We give a combinatorial proof of the skew Kostka analogue of the K-saturation theorem. More precisely, for any positive integer k, we give an explicit injection from the set of skew semistandard Young tableaux with skew shape k\lambda/k\mu{} and type ... More

On the density of rational and integral points on algebraic varietiesAug 17 2005Mar 13 2006We prove a conjecture of Heath-Brown on the number of rational points of bounded height for a large class of projective varieties.

Introduction to the method of multiple scalesDec 12 2013Apr 07 2016Earlier versions of these lecture notes have been used at the Cork Summerschool on Theory and Mathematics Modelling of Ultrashort Pulse Propagation (2013), and as a part of a graduate course in the theory of nonlinear waves in the period 2014-2016. This ... More

Multiphasic interactions between nucleotides and target proteinsAug 26 2016The nucleotides guanosine tetraphosphate (ppGpp) and guanosine pentaphosphate (pppGpp) bind to target proteins to promote bacterial survival (Corrigan et al. 2016). Thus, the binding of the nucleotides to RsgA, a GTPase, inhibits the hydrolysis of GTP. ... More

Competing interaction in magnets: the root of ordered disorder or only frustration?Nov 06 2013What does the equilibrium atomic, molecular or spin configuration of a glass phase look like? Is there only one unique equilibrium configuration or are there infinitely many configurations of equal energy? The processes and mechanisms governing the path ... More

Interference Alignment (IA) and Coordinated Multi-Point (CoMP) with IEEE802.11ac feedback compression: testbed resultsNov 05 2013Feb 19 2014We have implemented interference alignment (IA) and joint transmission coordinated multipoint (CoMP) on a wireless testbed using the feedback compression scheme of the new 802.11ac standard. The performance as a function of the frequency domain granularity ... More

Nonequilibrium thermodynamics of interacting tunneling transport: variational grand potential, density-functional formulation, and nature of steady-state forcesAug 23 2011Oct 09 2012The standard formulation of tunneling transport rests on an open-boundary modeling. There, conserving approximations to nonequilibrium Green function or quantum-statistical mechanics provide consistent but computational costly approaches; alternatively, ... More

Do zeta functions for intermittent maps have branch points?Sep 19 1996We present numerical evidence that the dynamical zeta function and the Fredholm determinant of intermittent maps with a neutral fix point have branch point singularities at z=1 We consider the power series expansion of zeta function and the Fredholm determinant ... More

Resonance spectra and a periodic orbit sum rule for bound chaotic systemsAug 12 1993We consider the spectrum of the evolution operator for bound chaotic systems by evaluating its trace. This trace is known to approach unity as $t \rightarrow \infty$ for bound systems. It is written as the Fourier transform of the logaritmic derivative ... More

Schur polynomials, banded Toeplitz matrices and Widom's formulaAug 28 2012We prove that for arbitrary partitions $\mathbf{\lambda} \subseteq \mathbf{\kappa},$ and integers $0\leq c<r\leq n,$ the sequence of Schur polynomials $S_{(\mathbf{\kappa} + k\cdot \mathbf{1}^c)/(\mathbf{\lambda} + k\cdot \mathbf{1}^r)}(x_1,...,x_n)$ ... More

Hard thermal loops in a magnetic field and the chiral anomalyAug 08 1996The fermionic dispersion relation in the presence of a background magnetic field and a high temperature QED plasma is calculated exactly in the external field, using the Hard Thermal Loop effective action. As the field strength increases there is a smooth ... More

Polynomials defined by tableaux and linear recurrencesMay 11 2015May 28 2015We show that several families of polynomials defined via fillings of diagrams satisfy linear recurrences under a natural operation on the shape of the diagram. We focus on key polynomials, (also known as Demazure characters), and Demazure atoms. The same ... More

Randomized methods for matrix computations and analysis of high dimensional dataJul 06 2016This report surveys a number of randomized techniques that have recently been proposed for computing matrix factorizations and for analyzing high dimensional data sets. It presents some modifications to algorithms that have previously been published that ... More

Non-Commutative Instantons and the Seiberg-Witten MapOct 03 2001Jun 11 2002We present several results concerning non-commutative instantons and the Seiberg-Witten map. Using a simple ansatz we find a large new class of instanton solutions in arbitrary even dimensional non-commutative Yang-Mills theory. These include the two ... More

Multi-Field Inflation from String TheoryDec 08 2009We construct a multi-field inflationary model consisting of multiple K\"ahler moduli derived from type IIB string compactification in the large volume limit. The model consists of both heavy and light fields, with the former being frozen during the inflationary ... More

Sensitivity to temperature perturbations of the ageing states in a re-entrant ferromagnetSep 03 1998Dynamic magnetic properties and ageing phenomena of the re-entrant ferromagnet (Fe0.20Ni0.80)75P16B6Al3 are investigated by time dependent zero field cooled magnetic relaxation, m (t), measurements. The influence of a temperature cycling (perturbation), ... More

Fluctuations in models of biological macroevolutionFeb 28 2005Fluctuations in diversity and extinction sizes are discussed and compared for two different, individual-based models of biological coevolution. Both models display power-law distributions for various quantities of evolutionary interest, such as the lifetimes ... More

Light-Gluino Production at LEPNov 08 1994Nov 10 1994If gluinos are light, they will be produced in electron-positron annihilation at LEP, not only by radiation in pairs off quarks and antiquarks, but also without accompanying quark and antiquark jets. We here discuss the latter process, pair production ... More

Periodic orbit quantization of the Sinai billiard in the small scatterer limitOct 16 1997We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared to the wave length 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive the semiclassical spectral determinant. The limitations ... More

Symplectic SUSY Gauge Theories with Antisymmetric MatterJul 25 1996We investigate the confining phase vacua of supersymmetric $Sp(2\NC)$ gauge theories that contain matter in both fundamental and antisymmetric representations. The moduli spaces of such models with $\NF=3$ quark flavors and $\NA=1$ antisymmetric field ... More

Probing higher spin black holesSep 21 2012Apr 20 2013We study the propagation of scalar fields on various backgrounds in three dimensional higher spin gravity. Our main emphasis is on obtaining the bulk-boundary propagator, which can be efficiently computed using group theory and higher spin gauge symmetry ... More

Numerical Study of Cosmic Censorship in String TheoryFeb 16 2004Apr 28 2004Recently Hertog, Horowitz, and Maeda have argued that cosmic censorship can be generically violated in string theory in anti-de Sitter spacetime by considering a collapsing bubble of a scalar field whose mass saturates the Breitenlohner-Freedman bound. ... More

An action principle for Vasiliev's four-dimensional higher-spin gravityFeb 10 2011Mar 15 2011We provide Vasiliev's fully nonlinear equations of motion for bosonic gauge fields in four spacetime dimensions with an action principle. We first extend Vasiliev's original system with differential forms in degrees higher than one. We then derive the ... More

Biaxially symmetric solutions to 4D higher-spin gravityAug 20 2012We review some aspects of biaxially symmetric solutions to Vasiliev's equations in four dimensional spacetime with negative cosmological constant. The solutions, which activate bosonic fields of all spins, are constructed using gauge functions, projectors ... More

Approximation Resistant Predicates From Pairwise IndependenceFeb 15 2008We study the approximability of predicates on $k$ variables from a domain $[q]$, and give a new sufficient condition for such predicates to be approximation resistant under the Unique Games Conjecture. Specifically, we show that a predicate $P$ is approximation ... More

Can a quantum critical state represent a blackbody?Nov 03 2016The blackbody theory of Planck played a seminal role in the development of quantum theory at the turn of the past century. A blackbody cavity is generally thought to be a collection of photons in thermal equilibrium; the radiation emitted is at all wavelengths, ... More

New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravityOct 11 2016We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution ... More

Discriminants, symmetrized graph monomials, and sums of squaresApr 04 2011Motivated by the necessities of the invariant theory of binary forms J. J. Sylvester constructed in 1878 for each graph with possible multiple edges but without loops its symmetrized graph monomial which is a polynomial in the vertex labels of the original ... More

On Functional Determinants of Laplacians in Polygons and SimplicesApr 08 1993The functional determinant of an elliptic operator with positive, discrete spectrum may be defined as $e^{-Z'(0)}$, where $Z(s)$, the zeta function, is the sum $\sum_n^{\infty} \lambda_n^{-s}$ analytically continued to $s$ around the origin. In this paper ... More

A Simple Deterministic Reduction for the Gap Minimum Distance of Code ProblemOct 07 2010We present a simple deterministic gap-preserving reduction from SAT to the Minimum Distance of Code Problem over $\F_2$. We also show how to extend the reduction to work over any finite field. Previously a randomized reduction was known due to Dumer, ... More

Two dimensional electron transport in disordered and ordered distributions of magnetic flux vorticesApr 18 1994We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e.\ a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux vortices. ... More

Kondo Effect in a Luttinger Liquid: Exact Results from Conformal Field TheoryMay 23 1995We report on exact results for the low-temperature thermodynamics of a spin-$\frac{1}{2}$ magnetic impurity coupled to a one-dimensional interacting electron system. By using boundary conformal field theory, we show that there are only two types of critical ... More

Magnetic Impurity in a Luttinger Liquid: A Conformal Field Theory ApproachJun 22 1995We study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition replacing the ... More

Nonlinear Magnetohydrodynamics from GravityNov 21 2008Jan 08 2009We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS_4. This yields the equations of fluid dynamics for a 2+1 dimensional charged fluid in a background magnetic field. ... More

Estimates for multiparameter maximal operators of Schrödinger typeMay 14 2013Multiparameter maximal estimates are considered for operators of Schr\"odinger type. Sharp and almost sharp results, that extend work by Rogers and Villarroya, are obtained. We provide new estimates via the integrability of the kernel which naturally ... More

A Generalized Construction of Calabi-Yau Models and Mirror SymmetryNov 30 2016We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, requiring the use of certain Laurent defining polynomials, and explore the phases of the corresponding gauged linear sigma models. The associated non-reflexive ... More

Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problemAug 06 2004Feb 10 2005The moduli of N=1 compactifications of IIB string theory can be stabilized by a combination of fluxes (which freeze complex structure moduli and the dilaton) and nonperturbative superpotentials (which freeze Kahler moduli), typically leading to supersymmetric ... More

Higher Spin Gravity Amplitudes From Zero-form ChargesAug 19 2012Feb 11 2013We examine zero-form charges in Vasiliev's four-dimensional bosonic higher spin gravities. These are classical observables given by integrals over noncommutative twistor space of adjoint combinations of the zero-form master fields, including insertions ... More

Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetryJul 06 2011Oct 24 2011We provide Vasiliev's four-dimensional bosonic higher-spin gravities with six families of exact solutions admitting two commuting Killing vectors. Each family contains a subset of generalized Petrov Type-D solutions in which one of the two so(2) symmetries ... More

Understanding adhesion at as-deposited interfaces from ab initio thermodynamics of deposition growth: thin-film alumina on titanium carbideSep 06 2010We investigate the chemical composition and adhesion of chemical vapour deposited thin-film alumina on TiC using and extending a recently proposed nonequilibrium method of ab initio thermodynamics of deposition growth (AIT-DG) [Rohrer J and Hyldgaard ... More

Complex Behavior in Simple Models of Biological CoevolutionSep 08 2006We explore the complex dynamical behavior of simple predator-prey models of biological coevolution that account for interspecific and intraspecific competition for resources, as well as adaptive foraging behavior. In long kinetic Monte Carlo simulations ... More

On the decay of correlations in Sinai billiards with infinite horizonJan 18 1996We compute the decay of the autocorrelation function of the observable $|v_x|$ in the Sinai billiard and of the observable $v_x$ in the associated Lorentz gas with an approximation due to Baladi, Eckmann and Ruelle. We consider the standard configuration ... More

Effect of Self-Interaction on Charged Black Hole RadianceNov 29 1994We extend our previous analysis of the modification of the spectrum of black hole radiance due to the simplest and probably most quantitatively important back-reaction effect, that is self-gravitational interaction, to the case of charged holes. As anticipated, ... More

Gluino Production in Electron-Positron AnnihilationJul 14 1994We discuss the pair production of gluinos in electron-positron annihilation at LEP, in a model with soft supersymmetry breaking, allowing for mixing between the squarks. In much of the parameter space of the Minimal Supersymmetric Model (MSSM) the cross ... More

A Simple Stationary Line Element for the Schwarzschild Geometry, and Some ApplicationsJun 23 1994Jun 27 1994Guided by a Hamiltonian treatment of spherically symmetric geometry, we find a remarkably simple -- stationary, but not static -- form for the line element of Schwarzschild (and Reissner-Nordstrom) geometry. The line element continues smoothly through ... More

D-brane Dynamics in the c=1 Matrix ModelAug 06 2003Sep 15 2003Recent work has shown that unstable D-branes in two dimensional string theory are represented by eigenvalues in a dual matrix model. We elaborate on this proposal by showing how to systematically include higher order effects in string perturbation theory. ... More

Vacuum and MSW interpretations of solar neutrino data with the LNW mass matrixJun 29 2000Jul 14 2000The Lehmann-Newton-Wu mass matrix, which was recently applied to neutrinos, is further investigated. The analytic results presented earlier are confirmed numerically for the solar density profile of the Standard Solar Model. The combined analysis of atmospheric ... More

On the existence of doubling measures with certain regularity propertiesApr 14 1998Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only on the metric. Then we construct a doubling metric for which the measure of a dillated ball is closely related to these dimensions.