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Surface localization of gas sources on comet 67P/Churyumov-Gerasimenko based on DFMS/COPS dataApr 18 2018Nov 13 2018We reconstruct the temporal evolution of the source distribution for the four major gas species H2O, CO2, CO, and O2 on the surface of comet 67P/Churyumov-Gerasimenko during its 2015 apparition. The analysis applies an inverse coma model and fits to data ... More

On Kinetic Delaunay Triangulations: A Near Quadratic Bound for Unit Speed MotionsDec 08 2013Let $P$ be a collection of $n$ points in the plane, each moving along some straight line at unit speed. We obtain an almost tight upper bound of $O(n^{2+\epsilon})$, for any $\epsilon>0$, on the maximum number of discrete changes that the Delaunay triangulation ... More

Spherical Means in Odd Dimensions and EPD equationsNov 13 2007The paper contains a simple proof of the Finch-Patch-Rakesh inversion formula for the spherical mean Radon transform in odd dimensions. This transform arises in thermoacoustic tomography. Applications are given to the Cauchy problem for the Euler-Poisson-Darboux ... More

On the Determination of Star Bodies from Their Half-SectionsSep 07 2016We obtain explicit inversion formulas for the Radon-like transform that assigns to a function on the unit sphere the integrals of that function over hemispheres lying in lower dimensional central cross-sections. The results are applied to determination ... More

A Hybrid Classical/Quantum Approach for Large-Scale Studies of Quantum Systems with Density Matrix Embedding TheoryOct 21 2016Oct 24 2016Determining ground state energies of quantum systems by hybrid classical/quantum methods has emerged as a promising candidate application for near-term quantum computational resources. Short of large-scale fault-tolerant quantum computers, small-scale ... More

Diophantine stabilityMar 16 2015May 18 2015If $V$ is an irreducible algebraic variety over a number field $K$, and $L$ is a field containing $K$, we say that $V$ is diophantine-stable for $L/K$ if $V(L) = V(K)$. We prove that if $V$ is either a simple abelian variety, or a curve of genus at least ... More

Is the expansion of the universe accelerating? All signs point to yesOct 27 2016Oct 31 2016The accelerating expansion of the universe is one of the most profound discoveries in modern cosmology, pointing to a universe in which 70% of the mass-energy density has an unknown form spread uniformly across the universe. This result has been well ... More

Refined class number formulas for $\mathbb{G}_m$Dec 14 2013We formulate a generalization of a `refined class number formula' of Darmon. Our conjecture deals with Stickelberger-type elements formed from generalized Stark units, and has two parts: the `order of vanishing' and the `leading term'. Using the theory ... More

Controlling Selmer groups in the higher core rank caseDec 14 2013We define Kolyvagin systems and Stark systems attached to $p$-adic representations in the case of arbitrary `core rank' (the core rank is a measure of the generic Selmer rank in a family of Selmer groups). Previous work dealt only with the case of core ... More

Growth of Selmer rank in nonabelian extensions of number fieldsMar 13 2007Sep 12 2007Let p be an odd prime number, E an elliptic curve over a number field k, and F/k a Galois extension of degree twice a power of p. We study the Z_p-corank rk_p(E/F) of the p-power Selmer group of E over F. We obtain lower bounds for rk_p(E/F), generalizing ... More

Ion velocity and electron temperature inside and around the diamagnetic cavity of comet 67PAug 10 2018A major point of interest in cometary plasma physics has been the diamagnetic cavity, an unmagnetized region in the inner-most part of the coma. Here, we combine Langmuir and Mutual Impedance Probe measurements to investigate ion velocities and electron ... More

Gas Accretion Traced in Absorption in Galaxy SpectroscopyDec 02 2016The positive velocity shift of absorption transitions tracing diffuse material observed in a galaxy spectrum is an unambiguous signature of gas flow toward the host system. Spectroscopy probing, e.g., NaI D resonance lines in the rest-frame optical or ... More

Sufficient Conditions for Graphicality of Bidegree SequencesNov 07 2015Oct 21 2016There are a variety of existing conditions for a degree sequence to be graphic. When a degree sequence satisfies any of these conditions, there exists a graph that realizes the sequence. We formulate several novel sufficient graphicality criteria that ... More

Zero Cosmological Constant from Normalized General RelativityMay 05 2009Oct 14 2009Normalizing the Einstein-Hilbert action by the volume functional makes the theory invariant under constant shifts in the Lagrangian. The associated field equations then resemble unimodular gravity whose otherwise arbitrary cosmological constant is now ... More

Point counting on reductions of CM elliptic curvesJun 25 2007Aug 06 2009We give explicit formulas for the number of points on reductions of elliptic curves with complex multiplication by any imaginary quadratic field. We also find models for CM $\mathbf{Q}$-curves in certain cases. This generalizes earlier results of Gross, ... More

Exploring the limitations and capabilities of shock-cooling models: new results for Type II SNe observed by the Kepler missionDec 08 2016Shock-cooling models provide robust predictions for the early time emission from core-collapse SNe. Modern surveys have begun discovering and following SNe shortly after first light---providing first measurements of the rise of Type II SNe. We explore ... More

Molecular Oxygen in Oort Cloud Comet 1P/HalleyDec 05 2015Recently the ROSINA mass spectrometer suite on board the European Space Agency's Rosetta spacecraft discovered an abundant amount of molecular oxygen, O2, in the coma of Jupiter family comet 67P/Churyumov-Gerasimenko of O2/H2O = 3.80+/-0.85%. It could ... More

Seasonal changes of the volatile density in the coma and on the surface of comet 67P/Churyumov-GerasimenkoApr 12 2017Starting from several monthly data sets of Rosetta's COmetary Pressure Sensor we reconstruct the gas density in the coma around comet 67P/Churyumov-Gerasimenko. The underlying inverse gas model is constructed by fitting ten thousands of measurements to ... More

A test for dependence between two point processes on the real lineAug 17 2014Dec 20 2014Many scientific questions rely on determining whether two sequences of event times are associated. This article introduces a likelihood ratio test which can be parameterised in several ways to detect different forms of dependence. A common finite-sample ... More

TVAE: Triplet-Based Variational Autoencoder using Metric LearningFeb 13 2018Apr 03 2018Deep metric learning has been demonstrated to be highly effective in learning semantic representation and encoding information that can be used to measure data similarity, by relying on the embedding learned from metric learning. At the same time, variational ... More

On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed CurvesDec 20 2014A long standing conjecture of Richter and Thomassen states that the total number of intersection points between any $n$ simple closed Jordan curves in the plane, so that any pair of them intersect and no three curves pass through the same point, is at ... More

Beyond the Richter-Thomassen ConjectureApr 30 2015Jul 07 2015If two closed Jordan curves in the plane have precisely one point in common, then it is called a {\em touching point}. All other intersection points are called {\em crossing points}. The main result of this paper is a Crossing Lemma for closed curves: ... More

A Crossing Lemma for Jordan CurvesAug 07 2017If two Jordan curves in the plane have precisely one point in common, and there they do not properly cross, then the common point is called a {\em touching point}. The main result of this paper is a Crossing Lemma for simple curves: Let $X$ and $T$ stand ... More

Comparison of one-dimensional and quasi-one-dimensional Hubbard models from the variational two-electron reduced-density-matrix methodApr 21 2014Minimizing the energy of an $N$-electron system as a functional of a two-electron reduced density matrix (2-RDM), constrained by necessary $N$-representability conditions (conditions for the 2-RDM to represent an ensemble $N$-electron quantum system), ... More

Posterior predictive p-values and the convex orderDec 10 2014Mar 29 2015Posterior predictive p-values are a common approach to Bayesian model-checking. This article analyses their frequency behaviour, that is, their distribution when the parameters and the data are drawn from the prior and the model respectively. We show ... More

Rerandomization in $2^K$ Factorial ExperimentsDec 28 2018With many pretreatment covariates and treatment factors, the classical factorial experiment often fails to balance covariates across multiple factorial effects simultaneously. Therefore, it is intuitive to restrict the randomization of the treatment factors ... More

Competition between transients in the rate of approach to a fixed pointApr 02 2008Dynamical systems studies of differential equations often focus on the behavior of solutions near critical points and on invariant manifolds, to elucidate the organization of the associated flow. In addition, effective methods, such as the use of Poincare ... More

Affinely invariant matching methods with discriminant mixtures of proportional ellipsoidally symmetric distributionsNov 09 2006In observational studies designed to estimate the effects of interventions or exposures, such as cigarette smoking, it is desirable to try to control background differences between the treated group (e.g., current smokers) and the control group (e.g., ... More

The XMM Cluster Survey: Galaxy Morphologies and the Color-Magnitude Relation in XMMXCS J2215.9-1738 at z=1.46Mar 10 2009We present a study of the morphological fractions and color-magnitude relation in the most distant X-ray selected galaxy cluster currently known, XMMXCS J2215.9-1738 at z=1.46, using a combination of optical imaging data obtained with the Hubble Space ... More

The chemical connection between 67P/C-G and IRAS 16293-2422Feb 08 2018The chemical evolution of a star- and planet-forming system begins in the prestellar phase and proceeds across the subsequent evolutionary phases. The chemical trail from cores to protoplanetary disks to planetary embryos can be studied by comparing distant ... More

Thin shells joining local cosmic string geometriesAug 16 2016In this article we present a theoretical construction of spacetimes with a thin shell that joins two different local cosmic string geometries. We study two types of global manifolds, one representing spacetimes with a standard thin shell and the other ... More

On topological changes in the Delaunay triangulation of moving pointsApr 12 2013Let $P$ be a collection of $n$ points moving along pseudo-algebraic trajectories in the plane. One of the hardest open problems in combinatorial and computational geometry is to obtain a nearly quadratic upper bound, or at least a subcubic bound, on the ... More

The Lower Dimensional Busemann-Petty Problem for Bodies with the Generalized Axial SymmetryJan 11 2007May 03 2007The lower dimensional Busemann-Petty problem asks, whether n-dimensional centrally symmetric convex bodies with smaller i-dimensional central sections necessarily have smaller volumes. The paper contains a complete solution to the problem when the body ... More

On the Funk-Radon-Helgason Inversion Method in Integral GeometryJul 21 2012The paper deals with totally geodesic Radon transforms on constant curvature spaces. We study applicability of the historically the first Funk-Radon-Helgason method of mean value operators to reconstruction of continuous and $L^p$ functions from their ... More

Non-Global Logarithms in Filtered Jet AlgorithmsFeb 24 2010May 10 2010We analytically and numerically study the effect of perturbative gluons emission on the "Filtering analysis", which is part of a subjet analysis procedure proposed two years ago to possibly identify a low-mass Higgs boson decaying into b\bar{b} at the ... More

Light Higgs searches at the LHC using jet substructureMay 13 2009Jun 26 2009It is widely believed that searching for a light Higgs boson (with a mass around 120 GeV) in the WH and ZH channels, where H decays into $b\bar{b}$, will be very challenging at the LHC. These proceedings describe how this channel can be recovered as a ... More

Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds, IIMar 06 2011We investigate analytic continuation of the matrix cosine and sine transforms introduced in Part I and depending on a complex parameter $\a$. It is shown that the cosine transform corresponding to $\a=0$ is a constant multiple of the Funk-Radon transform ... More

Elementary Inversion of Riesz Potentials and Radon-John TransformsJan 26 2011New simple proofs are given to some elementary approximate and explicit inversion formulas for Riesz potentials. The results are applied to reconstruction of functions from their integrals over Euclidean planes in integral geometry.

New Inversion Formulas for the Horospherical TransformDec 10 2014The following two inversion methods for Radon-like transforms are widely used in integral geometry and related harmonic analysis. The first method invokes mean value operators in accordance with the classical Funk-Radon-Helgason scheme. The second one ... More

The Monge-Ampère Equation with Guillemin Boundary ConditionsJan 15 2014Existence and boundary regularity away from the corners are established for two-dimensional Monge-Amp\`{e}re equations on convex polytopes with Guillemin boundary conditions. An important step is to derive an expansion in terms of functions $y^n$ and ... More

Overdetermined Transforms in Integral GeometryNov 29 2013A simple example of an $n$-dimensional admissible complex of planes is given for the overdetermined $k$-plane transform in $\mathbb{R}^n$. For the corresponding restricted $k$-plane transform sharp existence conditions are obtained and explicit inversion ... More

Zeta integrals and integral geometry in the space of rectangular matricesJun 15 2004The paper is devoted to interrelation between the zeta distribution and the Radon transform on the space of $n \times m$ real matrices. We present a self-contained proof of the Fourier transform formula for this distribution. Our method differs from that ... More

Weighted norm estimates for the Semyanistyi fractional integrals and Radon transformsOct 19 2012Semyanistyi's fractional integrals have come to analysis from integral geometry. They take functions on $R^n$ to functions on hyperplanes, commute with rotations, and have a nice behavior with respect to dilations. We obtain sharp inequalities for these ... More

Weighted norm inequalities for k-plane transformsJul 21 2012We obtain sharp inequalities for the k-plane transform, the "j-plane to k-plane" transform, and the corresponding dual transforms, acting on $L^p$ spaces with a radial power weight. The operator norms are explicitly evaluated. Some generalizations and ... More

On the Blaschke-Petkantschin Formula and Drury's IdentityJan 27 2018Nov 22 2018The Blaschke-Petkantschin formula is a variant of the polar decomposition of the $k$-fold Lebesgue measure on $\mathbb {R}^n$ in terms of the corresponding measures on $k$-dimensional linear subspaces of $\mathbb {R}^n$. We suggest a new elementary proof ... More

Norm Estimates for $k$-Plane Transforms and Geometric InequalitiesDec 30 2017The article is devoted to remarkable interrelation between the norm estimates for $k$-plane transforms in weighted and unweighted $L^p$ spaces and geometric integral inequalities for cross-sections of measurable sets in $\mathbb{R}^n$. We also consider ... More

Kinetic Voronoi Diagrams and Delaunay Triangulations under Polygonal Distance FunctionsApr 18 2014Let $P$ be a set of $n$ points and $Q$ a convex $k$-gon in ${\mathbb R}^2$. We analyze in detail the topological (or discrete) changes in the structure of the Voronoi diagram and the Delaunay triangulation of $P$, under the convex distance function defined ... More

Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifoldsSep 11 2010The Funk, cosine, and sine transforms on the unit sphere are indispensable tools in integral geometry. They are also known to be interesting objects in harmonic analysis. The aim of the paper is to extend basic facts about these transforms to the more ... More

On the asymptotics of the Aubin-Yau functionalFeb 19 2015We derive an explicit formula for the asymptotic slope of the Aubin-Yau functional along Bergman geodesics. The result gives a way to check directly whether a projective variety is Chow-Mumford stable.

Pion-Nucleon Scattering and the $π$NN Coupling Constant in the Chiral Color Dielectric ModelDec 15 1994We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $\pi$N and $\pi\Delta$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in Fock space. Spurious ... More

Comparison of volumes of convex bodies in real, complex, and quaternionic spacesDec 06 2008Mar 30 2009The classical Busemann-Petty problem (1956) asks, whether origin-symmetric convex bodies in $\mathbb {R}^n$ with smaller hyperplane central sections necessarily have smaller volumes. It is known, that the answer is affirmative if $n\le 4$ and negative ... More

The generalized Busemann-Petty problem with weightsMay 30 2005The generalized Busemann-Petty problem asks whether origin-symmetric convex bodies with lower-dimensional smaller sections necessarily have smaller volume. We study the weighted version of this problem corresponding to the physical situation when bodies ... More

The Vertical Slice Transform in Spherical TomographyJul 20 2018The vertical slice transform takes a function on the n-dimensional unit sphere to integrals of that function over spherical slices parallel to the last coordinate axis. This transform arises in thermoacoustic tomography. We obtain new inversion formulas ... More

Dense Distributions from Sparse Samples: Improved Gibbs Sampling Parameter Estimators for LDAMay 08 2015Apr 11 2017We introduce a novel approach for estimating Latent Dirichlet Allocation (LDA) parameters from collapsed Gibbs samples (CGS), by leveraging the full conditional distributions over the latent variable assignments to efficiently average over multiple samples, ... More

Extended Graded Modalities in Strategy LogicJul 12 2016Strategy Logic (SL) is a logical formalism for strategic reasoning in multi-agent systems. Its main feature is that it has variables for strategies that are associated to specific agents with a binding operator. We introduce Graded Strategy Logic (GradedSL), ... More

Liveness of Parameterized Timed NetworksSep 14 2016We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or S-automata. Such specifications ... More

Gegenbauer-Chebyshev Integrals and Radon TransformsOct 15 2014Jan 23 2015We suggest new modifications of Helgason's support theorems and descriptions of the kernels for several projectively equivalent transforms of integral geometry. The paper deals with the hyperplane Radon transform and its dual, the totally geodesic transforms ... More

Generalized cosine transforms and classes of star bodiesFeb 24 2006The spherical Radon transform on the unit sphere can be regarded as a member of the analytic family of suitably normalized generalized cosine transforms. We derive new formulas for these transforms and apply them to study classes of intersections bodies ... More

The Radon Transform on the Heisenberg Group and the Transversal Radon TransformOct 13 2009The notion of the Radon transform on the Heisenberg group was introduced by R. Strichartz and inspired by D. Geller and E.M. Stein's related work. The more general transversal Radon transform integrates functions on the m-dimensional real Euclidean space ... More

Intersection Bodies and Generalized Cosine TransformsMar 31 2007May 03 2007Intersection bodies represent a remarkable class of geometric objects associated with sections of star bodies and invoking Radon transforms, generalized cosine transforms, and the relevant Fourier analysis. The main focus of this article is interrelation ... More

Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillationsSep 28 2015Jan 04 2017This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a ... More

Evidence for Ubiquitous Collimated Galactic-Scale Outflows along the Star-Forming Sequence at z~0.5Jul 04 2013We present an analysis of the MgII 2796, 2803 and FeII 2586, 2600 absorption line profiles in individual spectra of 105 galaxies at 0.3<z<1.4. The galaxies, drawn from redshift surveys of the GOODS fields and the Extended Groth Strip, fully sample the ... More

Cold electrons at comet 67P/Churyumov-GerasimenkoJun 26 2018The electron temperature of the plasma is one important aspect of the environment. Electrons created by photoionization or impact ionization of atmospheric gas have energies $\sim$10 eV. In an active comet coma, the gas density is high enough for rapid ... More

I^K-convergenceSep 13 2011In this paper we introduce I^K-convergence which is a common generalization of the I^K-convergence of sequences, double sequences and nets. We show that many results that were shown before for these special cases are true for the I^K-convergence, too

Modern Regularization Methods for Inverse ProblemsJan 30 2018Regularization methods are a key tool in the solution of inverse problems. They are used to introduce prior knowledge and make the approximation of ill-posed (pseudo-)inverses feasible. In the last two decades interest has shifted from linear towards ... More

The Persistence of Cool Galactic Winds in High Stellar Mass Galaxies Between z~1.4 and ~1Dec 13 2009We present an analysis of the MgII 2796, 2803 and FeII 2586, 2600 absorption line profiles in coadded spectra of 468 galaxies at 0.7 < z < 1.5. The galaxy sample, drawn from the Team Keck Treasury Redshift Survey of the GOODS-N field, has a range in stellar ... More

Quantum integrable Toda like systemsOct 14 1998Using deformation quantization and suitable 2 by 2 quantum $R$-matrices we show that a list of Toda like classical integrable systems given by Y.B.Suris is quantum integrable in the sense that the classical conserved quantities (which are already in involution ... More

Optimal Partitioning for Dual-Pivot QuicksortMar 21 2013Oct 13 2015Dual-pivot quicksort refers to variants of classical quicksort where in the partitioning step two pivots are used to split the input into three segments. This can be done in different ways, giving rise to different algorithms. Recently, a dual-pivot algorithm ... More

Algorithmic Optimisations for Iterative Deconvolution MethodsApr 26 2013We investigate possibilities to speed up iterative algorithms for non-blind image deconvolution. We focus on algorithms in which convolution with the point-spread function to be deconvolved is used in each iteration, and aim at accelerating these convolution ... More

Open-closed modular operads, Cardy condition and string field theoryNov 26 2016We prove that the modular operad of diffeomorphism classes of Riemann surfaces with both `open' and `closed' boundary components, in the sense of string field theory, is the modular completion of its genus 0 part quotiented by the Cardy condition. We ... More

Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groupsOct 06 2005We prove various reconstruction theorems about open subsets of normed spaces. E.g. if the uniformly continuous homeomorphism groups of two such sets are isomorphic, then this isomorphism is induced by a uniformly continuous homeomorphism between these ... More

A Quantum Search Algorithm for a Specified Number of TargetsApr 17 2001Nov 10 2001The quantum search algorithm of Chen and Diao, which finds with certainty a single target item in an unsorted database, is modified so as to be capable of searching for an arbitrary specified number of target items. If the number of targets, nu_0, is ... More

Locality in the Everett Interpretation of Heisenberg-Picture Quantum MechanicsMar 14 2001May 10 2001Bell's theorem depends crucially on counterfactual reasoning, and is mistakenly interpreted as ruling out a local explanation for the correlations which can be observed between the results of measurements performed on spatially-separated quantum systems. ... More

Locally Moving Groups and the Reconstruction Problem for Chains and CirclesOct 06 2005We prove that complete Boolean algebras can be reconstructed from any locally moving subgroup of their full automorphism group. We use this theorem in order to prove that linear orders and circles can be reconstructed from small subgroups of their full ... More

Dependence of the superconducting effective mass on doping in cupratesJun 14 2005Using a doping-determined multiband model spectrum of a "typical'' cuprate the effective mass of the paired carriers is calculated on the whole doping scale. Large $m_{ab}$ values quench rapidly with leaving the very underdoped region. Further slower ... More

Two-component scenario and related gaps in cupratesAug 26 2004A simple model of cuprate superconductivity with an electron spectrum prepared by doping is developed. The pair-transfer interaction couples the itinerant band with two components ("hot'' and "cold'') of the defect subsystem. There are basic defect-itinerant ... More

Navigation of Spacetime Ships in Unified Gravitational and Electromagnetic WavesMay 02 2002Oct 07 2004On the basis of a "local" principle of equivalence of general relativity, we consider a navigation in a kind of "4D-ocean" involving measurements of conformally invariant physical properties only. Then, applying the Pfaff theory for PDE to a particular ... More

Relativistic Stereometric Coordinates from Relativistic Localizing Systems and the Projective Geometry of the Spacetime ManifoldJul 19 2014Jul 22 2014Relativistic stereometric coordinates supplied by relativistic auto-locating positioning systems made up of four satellites supplemented by a fifth one are defined in addition to the well-known emission and reception coordinates. Such a constellation ... More

A Canonical Quantization of the Baker's MapJul 17 1998We present here a canonical quantization for the baker's map. The method we use is quite different from that used in Balazs and Voros (ref. \QCITE{cite}{}{BV}) and Saraceno (ref. \QCITE{cite}{}{S}). We first construct a natural ``baker covering map'' ... More

Quantum Mechanics on a TorusJul 20 1998We present here a canonical description for quantizing classical maps on a torus. We prove theorems analagous to classical theorems on mixing and ergodicity in terms of a quantum Koopman space $ L^2 (A_\hbar},\tau_\hbar) $ obtained as the completion of ... More

Search for CP Violation in the Dalitz-Plot Analysis of D+/- -> K+ K- pi+/-Jul 28 2008Oct 09 2008We report on a search for CP asymmetry in the singly Cabibbo-suppressed decay D+ -> K+ K- pi+ using a data sample of 818 pb-1 accumulated with the CLEO-c detector on the psi(3770) resonance. A Dalitz-plot analysis is used to determine the amplitudes of ... More

The virialization density of peaks with general density profiles under spherical collapseNov 21 2013We calculate the non-linear virialization density, $\Delta_c$, of halos under spherical collapse from peaks with an arbitrary initial and final density profile. This is in contrast to the standard calculation of $\Delta_c$ which assumes top-hat profiles. ... More

Causal Inference Through Potential Outcomes and Principal Stratification: Application to Studies with "Censoring" Due to DeathDec 27 2006Causal inference is best understood using potential outcomes. This use is particularly important in more complex settings, that is, observational studies or randomized experiments with complications such as noncompliance. The topic of this lecture, the ... More

Deformed extra space and the smallness of the cosmological constantSep 23 2016The mechanism of different universes formation is elaborated. Each universe is characterized by a unique cosmological constant. It is shown that the set of cosmological constants has the cardinality of the continuum and contains zero cosmological constant. ... More

Null Spaces of Radon TransformsApr 15 2015We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally geodesic transforms on the sphere and the hyperbolic space, the spherical ... More

New Inversion Formulas for Radon Transforms on Affine GrassmanniansOct 07 2016We obtain new inversion formulas for the Radon transform and the corresponding dual transform acting on affine Grassmann manifolds of planes in $R^n$. The consideration is performed in full generality on continuous functions and functions belonging to ... More

Dynamic scaling in the 2D Ising spin glass with Gaussian couplingsJun 17 2017Oct 31 2017We carry out simulated annealing and employ a generalized Kibble-Zurek scaling hypothesis to study the 2D Ising spin glass with normal-distributed couplings. The system has an equilibrium glass transition at temperature $T=0$. From a scaling analysis ... More

Temperature Variations from HST Spectroscopy of the Orion NebulaDec 10 2002We present HST/STIS long-slit spectroscopy of NGC 1976. Our goal is to measure the intrinsic line ratio [O III] 4364/5008 and thereby evaluate the electron temperature (T_e) and the fractional mean-square T_e variation (t_A^2) across the nebula. We also ... More

Deviations from He I Case B Recombination Theory and Extinction Corrections in the Orion NebulaOct 20 2006We are engaged in a comprehensive program to find reliable elemental abundances in and to probe the physical structure of the Orion Nebula, the brightest and best-resolved H II region. In the course of developing a robust extinction correction covering ... More

Ground States and Singular Vectors of Convex Variational Regularization MethodsNov 09 2012Singular value decomposition is the key tool in the analysis and understanding of linear regularization methods. In the last decade nonlinear variational approaches such as $\ell^1$ or total variation regularizations became quite prominent regularization ... More

On the representation of polyhedra by polynomial inequalitiesMar 26 2002Oct 24 2002A beautiful result of Br\"ocker and Scheiderer on the stability index of basic closed semi-algebraic sets implies, as a very special case, that every $d$-dimensional polyhedron admits a representation as the set of solutions of at most $d(d+1)/2$ polynomial ... More

The International Linear Collider Technical Design Report - Volume 3.II: Accelerator Baseline DesignJun 26 2013The International Linear Collider Technical Design Report (TDR) describes in four volumes the physics case and the design of a 500 GeV centre-of-mass energy linear electron-positron collider based on superconducting radio-frequency technology using Niobium ... More

Simulating entangled sources by classically correlated sources and quantum imagingMar 31 2003Jul 29 2003We discuss the problem of when a set of measurements made on an entangled source can be simulated with a classically correlated source. This is discussed in general and some examples are given. The question of which aspects of quantum imaging can be simulated ... More

Locality in the Everett Interpretation of Quantum Field TheoryApr 04 2002Jul 15 2002Recently it has been shown that transformations of Heisenberg-picture operators are the causal mechanism which allows Bell-theorem-violating correlations at a distance to coexist with locality in the Everett interpretation of quantum mechanics. A calculation ... More

Resonant eigenstates in quantum chaotic scatteringAug 31 2006Apr 23 2007We study the spectrum of quantized open maps, as a model for the resonance spectrum of quantum scattering systems. We are particularly interested in open maps admitting a fractal repeller. Using the ``open baker's map'' as an example, we numerically investigate ... More

Proceedings 7th International Workshop on Formal Methods and Analysis in Software Product Line EngineeringMar 28 2016In Software Product Line Engineering (SPLE), a portfolio of similar systems is developed from a shared set of software assets. Claimed benefits of SPLE include reductions in the portfolio size, cost of software development and time to production, as well ... More

Rayleigh Scattering of Whispering Gallery Modes of Microspheres due to a Single Scatterer: Myths and RealityDec 23 2008The interaction of whispering gallery modes (WGM) of optical microresonators with subwavelength imperfections has been studied both experimentally and theoretically. This interaction is responsible for the formation of spectral doublets in place of single ... More

Ferron-like states in YBa_2Cu_3O_(6+x)Sep 08 1998With the use of the Hubbard model bound hole states in YBa_2Cu_3O_(6+x) are studied. For the parameters of this crystal the exchange interaction between the spin-carrying chain ion O^- and Cu-O plane sites is shown to ensure the formation of a large ferromagnetically ... More

Ranks of twists of elliptic curves and Hilbert's Tenth ProblemApr 23 2009Apr 28 2010In this paper we investigate the 2-Selmer rank in families of quadratic twists of elliptic curves over arbitrary number fields. We give sufficient conditions on an elliptic curve so that it has twists of arbitrary 2-Selmer rank, and we give lower bounds ... More

Still BakingAug 27 1998We present here a simple proof of the non-existence of a non-periodic invariant point for the quantum baker's map propagator presented in Rubin and Salwen (Annals of Physics, 1998), for Planck's constant h=1/N and N a positive integer.