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Resonantly hybridised excitons in moiré superlattices in van der Waals heterostructuresApr 12 2019Atomically-thin layers of two-dimensional materials can be assembled in vertical stacks held together by relatively weak van der Waals forces, allowing for coupling between monolayer crystals with incommensurate lattices and arbitrary mutual rotation. ... More

Core-Periphery Segregation in Evolving Prisoner's Dilemma NetworksMay 03 2011Dec 09 2012Dense cooperative networks are an essential element of social capital for a prosperous society. These networks enable individuals to overcome collective action dilemmas by enhancing trust. In many biological and social settings, network structures evolve ... More

Imaging of interlayer coupling in van der Waals heterostructures using a bright-field optical microscopeDec 23 2016May 01 2017Vertically stacked atomic layers from different layered crystals can be held together by van der Waals forces, which can be used for building novel heterostructures, offering a platform for developing a new generation of atomically thin, transparent and ... More

Storage Allocation Under Processor Sharing II: Further Asymptotic ResultsJul 21 2009We consider a processor sharing storage allocation model, which has m primary holding spaces and infinitely many secondary ones, and a single processor servicing the stored items (customers). All of the spaces are numbered and ordered. An arriving customer ... More

Storage Allocation Under Processor Sharing I: Exact Solutions and AsymptoticsJul 21 2009We consider a processor sharing storage allocation model, which has m primary holding spaces and infinitely many secondary ones, and a single processor servicing the stored items (customers). All of the spaces are numbered and ordered. An arriving customer ... More

Relating U(1) monopole configurations to SU(2) saddle-point configurationsOct 17 1996We have studied field configurations of the 3-dimensional Georgi-Glashow model which interpolate between the $U(1)$ and the $SU(2)$ limits. In the intermediate region, these configurations contain 't-Hooft--Polyakov monopoles. We use cooling and extremization ... More

Analysis of saddle-point configurations in 3-dimensional SU(2) gauge theoryOct 31 1995We discuss the properties of a class of saddle point solutions in SU(2) in three dimensions (SU$(2)_3$), exhibiting localized peaks in the action. These configurations are generated by deterministic cooling and extremizing algorithms from analytic configurations. ... More

Continuum directions for supervised dimension reductionJun 20 2016We consider dimension reduction of multivariate data under the existence of various types of auxiliary information. We propose a criterion that provides a series of orthogonal directional vectors, that form a basis for dimension reduction. The proposed ... More

Theory of electric dipole moments and lepton flavour violationAug 12 2016Electric dipole moments and charged-lepton flavour-violating processes are extremely sensitive probes for new physics, complementary to direct searches as well as flavour-changing processes in the quark sector. Beyond the "smoking-gun" feature of a potential ... More

Random-time isotropic fractional stable fieldsDec 20 2011Jun 27 2012Generalizing both Substable FSMs and Indicator FSMs, we introduce alpha-stabilized subordination, a procedure which produces new FSMs (H-sssi symmetric stable processes) from old ones. We extend these processes to isotropic stable fields which have stationary ... More

On the Approximate Eigenstructure of Time-Varying ChannelsMar 05 2008Jul 10 2008In this article we consider the approximate description of doubly--dispersive channels by its symbol. We focus on channel operators with compactly supported spreading, which are widely used to represent fast fading multipath communication channels. The ... More

Precoding for 2x2 Doubly-Dispersive WSSUS ChannelsOct 20 2005Jan 16 2006Optimal link adaption to the scattering function of wide sense stationary uncorrelated scattering (WSSUS) mobile communication channels is still an unsolved problem despite its importance for next-generation system design. In multicarrier transmission ... More

Extremal Reversible Measures for the Exclusion ProcessSep 14 2003We give a characterization of the invariant measures for the exclusion process on the integers with certain reversible transition kernels. Some examples include all nearest-neighbor kernels with asymptotic mean zero. One tool used is a necessary and sufficient ... More

Exit times for multivariate autoregressive processesNov 09 2012We study exit times from a set for a family of multivariate autoregressive processes with normally distributed noise. By using the large deviation principle, and other methods, we show that the asymptotic behavior of the exit time depends only on the ... More

Sparse Label PropagationDec 05 2016We consider massive heterogeneous datasets with intrinsic network structure, i.e., big data over networks. These datasets can be modelled by graph signals, which are defined over large-scale irregular graphs representing complex networks. We show that ... More

Dimension and Entropy Computations for $L(F_r)$Feb 15 2003We show that certain generating sets of Dykema and Radulescu for $L(F_r)$ have free Hausdorff dimension r and nondegenerate free Hausdorff r-entropy

Fractal entropies and dimensions for microstate spacesDec 01 2002Sep 10 2003Using Voiculescu's notion of a matricial microstate we introduce fractal dimensions and entropies for finite sets of selfadjoint operators in a tracial von Neumann algebra. We show that they possess properties similar to their classical predecessors. ... More

Bounding the number of nodal domains of eigenfunctions without singular points on the squareDec 26 2017Aug 30 2018We prove Polterovich's conjecture concerning the growth of the number of nodal domains for eigenfunctions on a unit square domain, under the assumption that the eigenfunctions do not have any singular points.

Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp formsJan 26 2013May 08 2016We prove a quantitative statement of the quantum ergodicity for Hecke--Maass cusp forms on the modular surface. As an application of our result, along a density $1$ subsequence of even Hecke--Maass cusp forms, we obtain a sharp lower bound for the $L^2$-norm ... More

On sparsity of positive-definite automorphic forms within a familyJan 02 2012It is known due to Baker and Montgomery that almost all Fekete polynomials under certain ordering have at least one zero on the interval (0, 1). In terms of the positive-definiteness, Fekete polynomial has no zero on the interval (0, 1) if and only if ... More

Open maps between shift spacesOct 25 2008Given a code from a shift space to an irreducible sofic shift, any two of the following three conditions -- open, constant-to-one, (right or left) closing -- imply the third. If the range is not sofic, then the same result holds when bi-closingness replaces ... More

Investigation of next-to-leading effects in CCFMJul 19 2002Jul 24 2002The effect of formally next-to-leading contributions to the CCFM evolution equation are discussed.

Heavy Quark production at the TEVATRON and HERA using k_t-factorization with CCFM evolutionOct 02 2001Nov 25 2001The application of k_t-factorization supplemented with the CCFM small-x evolution equation to heavy quark production at the TEVATRON and at HERA is discussed. The bb_bar production cross sections at the TEVATRON can be consistently described using the ... More

Monopole-antimonopole condensation in the interpolating Georgi-Glashow modelDec 22 1997We study the three dimensional Georgi-Glashow model (which interpolates smoothly between pure U(1) and SU(2) limits) using a constrained cooling which preserves 't Hooft-Polyakov monopoles. We find that the monopole-antimonopole condensation gives an ... More

Simulations of a model for the Northern Spotted OwlFeb 19 2014In this paper, a branching process model of the Northern Spotted Owl is simulated. We focus on the time until extinction. It is shown how an approximation of the model with a multivariate autoregressive process works well near the equilibrium, but does ... More

Penguin contributions to B to J/Psi P DecaysDec 19 2012The high precision to which the standard model has been confirmed implies that new physics effects have to be small in the observed processes. Together with the outstanding precision expected from present and future collider experiments this renders the ... More

On the existence of open and bi-continuing codesOct 25 2008Feb 27 2009Given an irreducible sofic shift X, we show that an an irreducible SFT Y of lower entropy is a factor of X if and only if it is a factor of X by an open bi-continuing code. If these equivalent conditions hold and Y is mixing, then any code from a proper ... More

Unintegrated parton densities applied to heavy quark production in the CCFM approachSep 17 2001Nov 25 2001The application of k_t - factorization supplemented with the CCFM small-x evolution equation to heavy quark production is discussed. The b-b_bar production cross sections at the TEVATRON can be consistently described using the k_t-factorization formalism ... More

Un-integrated PDFs in CCFMNov 22 2004The un-integrated parton distribution functions (uPDFs) obtained from a CCFM evolution are studied in terms of the intrinsic transverse momentum distribution at low scales. The uPDFs are studied for variations of the renormalization and factorization ... More

Heavy quark production at HERA in k_t factorization supplemented with CCFM evolutionOct 26 2001The application of k_t - factorization, supplemented with the CCFM small-x evolution equation, to heavy quark production is discussed. Differential cross sections of b-b_bar production and also inelastic J/psi production as measured at HERA are compared ... More

Weighted Norms of Ambiguity Functions and Wigner DistributionsJan 06 2006Jul 07 2006In this article new bounds on weighted p-norms of ambiguity functions and Wigner functions are derived. Such norms occur frequently in several areas of physics and engineering. In pulse optimization for Weyl--Heisenberg signaling in wide-sense stationary ... More

The Critical Value of the Contact Process with Added and Removed EdgesMay 04 2004Nov 19 2004We show that the critical value for the contact process on a vertex-transitive graph G with finitely many edges added and/or removed is the same as the critical value for the contact process on G.

The noisy voter-exclusion processOct 31 2003The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant measures. Adding spontaneous births and deaths to the two processes still allows ... More

On the Szegö-Asymptotics for Doubly-Dispersive Gaussian ChannelsFeb 25 2011Jun 09 2011We consider the time-continuous doubly-dispersive channel with additive Gaussian noise and establish a capacity formula for the case where the channel correlation operator is represented by a symbol which is periodic in time and fulfills some further ... More

Approximate Eigenstructure of LTV Channels with Compactly Supported SpreadingJan 06 2007Feb 27 2007In this article we obtain estimates on the approximate eigenstructure of channels with a spreading function supported only on a set of finite measure $|U|$.Because in typical application like wireless communication the spreading function is a random process ... More

Thermodynamics using p4-improved staggered fermion action on QCDOCOct 05 2005We present an exploratory study of the thermodynamics of $N_f=3$ QCD with an improved staggered fermions using the QCDOC supercomputer. We use a p4 action with MILC-style smeared links (Fat 7). Some details of the implementation of the p4 action on QCDOC ... More

Resolving the existence of Higgsinos in the LHC inverse problemApr 10 2014Jun 17 2014The LHC inverse problem is infamously challenging when neutralinos and charginos are heavy and pure and other superparticles are decoupled. This limit is becoming more relevant to particle physics nowadays. Fortunately, in this limit, Higgsinos produce ... More

Continuum directions for supervised dimension reductionJun 20 2016Mar 21 2018Dimension reduction of multivariate data supervised by auxiliary information is considered. A series of basis for dimension reduction is obtained as minimizers of a novel criterion. The proposed method is akin to continuum regression, and the resulting ... More

The Rank Theorem and $L^2$-invariants in Free Entropy: Global Upper BoundsFeb 15 2016Using an analogy with the rank theorem in differential geometry, it is shown that for a finite $n$-tuple $X$ in a tracial von Neumann algebra and any finite $m$-tuple $F$ of $*$-polynomials in $n$ noncommuting indeterminates, \begin{eqnarray*} \delta_0(X) ... More

A variant of Gromov's problem on Hölder equivalence of Carnot groupsFeb 20 2017Jul 04 2017It is unknown if there exists a locally $\alpha$-H\"older homeomorphism $f:\mathbb{R}^3\to \mathbb{H}^1$ for any $\frac{1}{2}< \alpha\le \frac{2}{3}$, although the identity map $\mathbb{R}^3\to \mathbb{H}^1$ is locally $\frac{1}{2}$-H\"older. More generally, ... More

A robust limit for the electric dipole moment of the electronJan 08 2013Jan 22 2013Electric dipole moments constitute a competitive method to search for new physics, being particularly sensitive to new CP-violating phases. Given the experimental and theoretical progress in this field and more generally in particle physics, the necessity ... More

Branching ratio measurements and isospin violation in B-meson decaysOct 12 2015Dec 03 2015The approximate symmetry of the strong interactions under isospin transformations is among the most precise tools available to control hadronic matrix elements. It is crucial in extracting fundamental parameters, but also provides avenues for the search ... More

Levy-Khintchine random matrices and the Poisson weighted infinite skeleton treeFeb 05 2014Feb 13 2016We study a class of Hermitian random matrices which includes and generalizes Wigner matrices, heavy-tailed random matrices, and sparse random matrices such as the adjacency matrices of Erdos-Renyi random graphs with p ~ 1/N. Our NxN random matrices have ... More

Pointwise stability estimates for periodic traveling wave solutions of systems of viscous conservation lawsOct 12 2012Oct 21 2012In the previous paper \cite{J1}, we established pointwise bounds for the Green function of the linearized equation associated with spatially periodic traveling waves $\bar u$ of a system of reaction diffusion equations, and also obtained pointwise nonlinear ... More

Universality of Composition Operators and Applications to Holomorphic DynamicsMar 03 2016By investigating which level of universality composition operators $C_f$ can have, where the symbol $f$ is given by the restriction of a transcendental entire function to suitable parts of the Fatou set of $f$, this work combines the theory of dynamics ... More

The CCFM Monte Carlo generator CASCADESep 12 2001CASCADE is a full hadron level Monte Carlo event generator for e-p, gamma-p and p-p_bar processes, which uses the CCFM evolution equation for the initial state cascade in a backward evolution approach supplemented with off-shell matrix elements for the ... More

Photon structure at HERAJun 09 2000Jun 13 2000The structure of the virtual photon and its contribution to small x processes in deep inelastic scattering at HERA is discussed.

kt - factorization and CCFM - the solution for describing the hadronic final states - everywhere ?Nov 20 2003Nov 25 2003The basic ideas of kt-factorization and CCFM parton evolution is discussed. The unintegrated gluon densities, obtained from CCFM fits to the proton structure function data at HERA are used to predict hadronic final state cross sections like jet production ... More

CCFM prediction for F_2 and forward jets at HERAMay 31 1999Jun 03 1999Predictions of the CCFM evolution equation for F_2 and forward jets at HERA energies are obtained from a modified version of the Monte Carlo program SMALLX. The treatment of the non-Sudakov form factor $\Delta_{ns}$ is discussed as well as the effect ... More

Monte Carlo Implementations of Diffraction at HERASep 14 1998The Monte Carlo implementation of different approaches for diffractive scattering in $e - p$ collisions (resolved $\PO$, pQCD, soft color interactions) is described, with emphasis on the construction of the hadronic final state. Simple models for proton ... More

Replica symmetry breaking in multi-species Sherrington--Kirkpatrick modelOct 07 2018Jan 01 2019In the Sherrington--Kirkpatrick (SK) and related mixed $p$-spin models, there is interest in understanding replica symmetry breaking at low temperatures. For this reason, the so-called AT line proposed by de Almeida and Thouless as a sufficient (and conjecturally ... More

Orbits of Massive Satellite Galaxies: I. A Close Look at the Large Magellanic Cloud and a New Orbital History for M33Sep 15 2016The Milky Way (MW) and M31 both harbor massive satellite galaxies, the Large Magellanic Cloud (LMC) and M33, which may comprise up to 10 per cent of their host's total mass. Massive satellites can change the orbital barycentre of the host-satellite system ... More

A hierarchical Dirichlet process mixture model for haplotype reconstruction from multi-population dataDec 26 2008Aug 20 2009The perennial problem of "how many clusters?" remains an issue of substantial interest in data mining and machine learning communities, and becomes particularly salient in large data sets such as populational genomic data where the number of clusters ... More

Status of dynamical ensemble generationJan 06 2010I give an overview of current and future plans of dynamical QCD ensemble generation activities. A comparison of simulation cost between different discretizations is made. Recent developments in techniques and algorithms used in QCD dynamical simulations, ... More

Gauge Transformations and Inverse Quantum Scattering with Medium-Range Magnetic FieldsDec 30 2004Jul 14 2005The time-dependent, geometric method for high-energy limits and inverse scattering is applied to nonrelativistic quantum particles in external electromagnetic fields. Both the Schr"odinger- and the Pauli equations in R^2 and R^3 are considered. The electrostatic ... More

Amenability, tubularity, and embeddings into $\mathcal R^ω$Jun 06 2005Dec 02 2006Suppose $M$ is a tracial von Neumann algebra embeddable into $\mathcal R^{\omega}$ (the ultraproduct of the hyperfinite $II_1$-factor) and $X$ is an $n$-tuple of selfadjoint generators for $M$. Denote by $\Gamma(X;m,k,\gamma)$ the microstate space of ... More

Quadratic matings and ray connectionsJul 03 2017A topological mating is a map defined by gluing together the filled Julia sets of two quadratic polynomials. The identifications are visualized and understood by pinching ray-equivalence classes of the formal mating. For postcritically finite polynomials ... More

The Thurston Algorithm for quadratic matingsJun 13 2017Mating is an operation to construct a rational map f from two polynomials, which are not in conjugate limbs of the Mandelbrot set. When the Thurston Algorithm for the unmodified formal mating is iterated in the case of postcritical identifications, it ... More

Vector meson cross sections at HERAJan 13 2008Inelastic and elastic (exclusive) cross section measurements of vector meson production at HERA are discussed.

Resolved Photons and BFKL-type Signatures in Deep Inelastic ScatteringSep 23 1997The concept of resolved virtual photons in addition to direct deep inelastic $ep$ scattering is used to simulate the 2+1 jet - rate and the forward jet cross section, which cannot be described by direct LO/NLO processes. With standard DGLAP evolution ... More

Recent results from CCFM evolutionDec 04 2003Recent developments of the small $x$ CCFM evolution are described, including improvements of the splitting function. The resulting unintegrated gluon densities are used for predictions of hadronic final state measurements like jet production at HERA and ... More

Future Diffraction at HERASep 14 1998Future prospects of hard diffraction at HERA a reviewed. A selection of processes which can be calculated in pQCD is given, with emphasis on the separation of soft and hard diffraction. The main focus will be put on the energy dependence of diffractive ... More

Source-Frequency Phase-Referencing Observation of AGNs with KaVA Using Simultaneous Dual-Frequency ReceivingMar 28 2019The KVN(Korean VLBI Network)-style simultaneous multi-frequency receiving mode is demonstrated to be promising for mm-VLBI observations. Recently, other Very long baseline interferometry (VLBI) facilities all over the globe start to implement compatible ... More

The Power of Simultaneous Multi-Frequency Observations for mm-VLBI: Astrometry up to 130 GHz with the KVNSep 09 2015Nov 05 2015Simultaneous observations at multiple frequency bands have the potential to overcome the fundamental limitation imposed by the atmospheric propagation in mm-VLBI observations. The propagation effects place a severe limit in the sensitivity achievable ... More

Demonstration of KVN phase referencing capabilityNov 11 2015We present the results of Very Long Baseline Interferometry (VLBI) observations using the phase reference technique to detect weak Active Galactic Nuclei (AGN) cores in the Virgo cluster. Our observations were carried out using the Korean VLBI Network ... More

Tidal stripping stellar substructures around four metal-poor globular clusters in the Galactic bulgeOct 07 2014We investigate the spatial density configuration of stars around four metal-poor globular clusters (NGC 6266, NGC 6626, NGC 6642 and NGC 6723) in the Galactic bulge region using wide-field deep J, H, and K imaging data obtained with the WFCAM near-infrared ... More

Deeply Aggregated Alternating Minimization for Image RestorationDec 20 2016Regularization-based image restoration has remained an active research topic in computer vision and image processing. It often leverages a guidance signal captured in different fields as an additional cue. In this work, we present a general framework ... More

Jet Kinematics of the Quasar 4C +21.35 from Observations with the KaVA Very Long Baseline Interferometry ArrayApr 05 2019We present the jet kinematics of the flat spectrum radio quasar (FSRQ) 4C +21.35 using time-resolved KaVA very long baseline interferometry array radio maps obtained from September 2014 to July 2016. During two out of three observing campaigns, observations ... More

Coupling of phonons and spin waves in triangular antiferromagnetApr 26 2007Jul 02 2007We investigate the influence of the spin-phonon coupling in the triangular antiferromagnet where the coupling is of the exchange-striction type. The magnon dispersion is shown to be modified significantly at wave vector (2pi,0) and its symmetry-related ... More

On transversally harmonic maps of foliated Riemannian manifoldsSep 19 2011We study the transversally harmonic maps between foliated Riemannian manifolds. In particular, we prove that under some curvature conditions, any transversally harmonic map is transversally totally geodesic.

Chiral spin states in the pyrochlore Heisenberg magnet: Fermionic mean-field theory and variational Monte Carlo calculationsJul 13 2008Nov 15 2008Fermionic mean-field theory and variational Monte Carlo calculations are employed to shed light on the possible uniform ground states of the Heisenberg model on the pyrochlore lattice. Among the various flux configurations, we find the chiral spin states ... More

Toward the automated analysis of complex diseases in genome-wide association studies using genetic programmingFeb 06 2017Machine learning has been gaining traction in recent years to meet the demand for tools that can efficiently analyze and make sense of the ever-growing databases of biomedical data in health care systems around the world. However, effectively using machine ... More

The spectral-curvature parameter: an alternative tool for the analysis of synchrotron spectraApr 09 2003The so-called Spectral Curvature Parameter(SCP), when plotted versus the high-frequency spectral index ($alpha_{high}$) of synchrotron sources, provides crucial parameters on the continuum spectrum of synchrotron radiation without the more complex modeling ... More

Unified Depth Prediction and Intrinsic Image Decomposition from a Single Image via Joint Convolutional Neural FieldsMar 21 2016We present a method for jointly predicting a depth map and intrinsic images from single-image input. The two tasks are formulated in a synergistic manner through a joint conditional random field (CRF) that is solved using a novel convolutional neural ... More

Deep Self-Convolutional Activations Descriptor for Dense Cross-Modal CorrespondenceMar 21 2016We present a novel descriptor, called deep self-convolutional activations (DeSCA), designed for establishing dense correspondences between images taken under different imaging modalities, such as different spectral ranges or lighting conditions. Motivated ... More

Sparse Model Uncertainties in Compressed Sensing with Application to Convolutions and Sporadic CommunicationApr 01 2014Aug 26 2014The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for noncoherent information ... More

Characterization of timing jitter spectra in free-running mode-locked lasers with 340 dB dynamic range over 10 decades of Fourier frequencyNov 30 2014We demonstrate a method that enables accurate timing jitter spectral density characterization of free-running mode-locked laser oscillators over more than 10-decade of Fourier frequency from mHz to tens MHz range. The method is based on analyzing both ... More

Construction of a natural partition of incomplete horseshoesDec 22 2003A method is presented to construct a partition of an incomplete horseshoe in a Poincare map which is only based on unstable manifolds of outermost fixed points and eventually their limits. Thereby this partition becomes natural from the point of view ... More

Oscillation dynamics of multi-well condensatesDec 05 2006We propose a new approach to the macroscopic dynamics of three-well Bose-Einstein condensates, giving particular emphasis to self-trapping and Josephson oscillations. Although these effects have been studied quite thoroughly in the mean-field approximation, ... More

On the Tanaka formula for the derivative of self-intersection local time of fBmMay 23 2012Jun 28 2014The derivative of self-intersection local time (DSLT) for Brownian motion was introduced by Rosen and subsequently used by others to study the $L^2$ and $L^3$ moduli of continuity of Brownian local time. A version of the DSLT for fractional Brownian motion ... More

Compressed Sensing on the Image of Bilinear MapsMay 22 2012For several communication models, the dispersive part of a communication channel is described by a bilinear operation $T$ between the possible sets of input signals and channel parameters. The received channel output has then to be identified from the ... More

A Group-Theoretic Approach to the WSSUS Pulse Design ProblemJan 28 2005Aug 08 2005We consider the pulse design problem in multicarrier transmission where the pulse shapes are adapted to the second order statistics of the WSSUS channel. Even though the problem has been addressed by many authors analytical insights are rather limited. ... More

Spheres - Omni-directional multi-mode gravitational-wave antennas for the next generationAug 26 1996The construction of a massive (~ 40 ton) spherical antennas for gravitational wave astronomy has been proposed by a number of groups worldwide. Summed over all five quadrupole modes, the sphere has a direction-independent cross section, permitting full-sky ... More

Partially composite 2-Higgs-doublet modelAug 10 2006Sep 12 2006In the extra dimensional scenarios with gauge fields in the bulk, the Kaluza-Klein (KK) gauge bosons can induce Nambu-Jona-Lasinio (NJL) type attractive four-fermion interactions, which can break electroweak symmetry dynamically with accompanying composite ... More

Traveling Wave Fronts and Localized Traveling Wave Convection in Binary Fluid MixturesMay 11 2005Nonlinear fronts between spatially extended traveling wave convection (TW) and quiescent fluid and spatially localized traveling waves (LTWs) are investigated in quantitative detail in the bistable regime of binary fluid mixtures heated from below. A ... More

Descent pattern avoidanceDec 06 2013We extend the notion of consecutive pattern avoidance to considering sums over all permutations where each term is a product of weights depending on each consecutive pattern of a fixed length. We study the problem of finding the asymptotics of these sums. ... More

Knotted surfaces in 4-manifolds by Knot surgery and StabilizationJan 09 2017Nov 08 2017Given a simply-connected closed 4-manifold $X$ and a smoothly embedded oriented surface $\Sigma$, various constructions based on Fintushel-Stern knot surgery have produced new surfaces in $X$ that are pairwise homeomorphic to $\Sigma$, but not diffeomorphic. ... More

Stochastic parabolic Anderson model with time-homogeneous generalized potential: Mild formulation of solutionFeb 05 2018Sep 16 2018A mild formulation for stochastic parabolic Anderson model with time-homogeneous Gaussian potential suggests a way of defining a solution to obtain its optimal regularity. Two different interpretations in the equation or in the mild formulation are possible ... More

Recent results on unintegrated parton distributionsDec 04 2007We summarize recent results on i) the use of u-pdf's in the Monte-Carlo simulation of hadronic final states at high-energy colliders, and ii) attempts to characterize u-pdf's with precision in terms of nonlocal operator matrix elements.

Monte Carlo Generators and the CCFM EquationJun 15 2000We discuss three implementations of the CCFM evolution equations in event generator programs. We find that some of them are able to describe observables such as forward jet rates in DIS at HERA, but only if the so-called consistency constraint is removed. ... More

Bridge spheres for the unknot are topologically minimalDec 15 2014We show that an $(n+1)$-bridge sphere for the unknot is a topologically minimal surface of index at most $n$.

Critical Heegaard surfaces obtained by amalgamationSep 18 2011Critical surfaces are defined by Bachman as topological index 2 surfaces, generalizing incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, ... More

(Disk, Essential surface) pairs of Heegaard splittings that intersect in one pointDec 26 2008We consider a Heegaard splitting M=H_1 \cup_S H_2 of a 3-manifold M having an essential disk D in H_1 and an essential surface F in H_2 with |D \cap F|=1. (We require that boundary of F is in S when H_2 is a compressionbody with non-empty "minus" boundary.) ... More

Studying Hadronic Structure of the Photon in Lattice QCDJan 22 2001We show that the matrix element of a local quark-gluon operator in the photon state, $<\gamma(k\lambda)|\hat O| \gamma(k\lambda)>$, can be calculated in lattice QCD. The result is generalized to other quantities involving space-like photons, including ... More

Explicit reconstruction of the entanglement wedgeJul 13 2016Sep 09 2016The problem of bulk locality, or how the boundary encodes the bulk in AdS/CFT, is still a subject of study today. One of the major issues that needs more elucidation is the problem of subregion duality; what information of the bulk a given boundary subregion ... More

Robust Nonnegative Sparse Recovery and the Nullspace Property of 0/1 MeasurementsMar 25 2016We investigate recovery of nonnegative vectors from non--adaptive compressive measurements in the presence of noise of unknown power. It is known in literature that under additional assumptions on the measurement design recovery is possible in the noiseless ... More

A Stability Result for Sparse ConvolutionsDec 08 2013Apr 08 2014We will establish in this note a stability result for sparse convolutions on torsion-free additive (discrete) abelian groups. Sparse convolutions on torsion-free groups are free of cancellations and hence admit stability, i.e. injectivity with a universal ... More

The Network Nullspace Property for Compressed Sensing of Big Data over NetworksMay 11 2017Mar 13 2018We present a novel condition, which we term the net- work nullspace property, which ensures accurate recovery of graph signals representing massive network-structured datasets from few signal values. The network nullspace property couples the cluster ... More

Measurement of the Properties of the top Quark at DØOct 10 2011Different measurements of the properties of the top quark using up to $5.4 fb^{-1}$ collected with the D{\O} detector at the Fermilab Tevatron collider are presented. The top mass is obtained from a study of dilepton and lepton+jets final states, while ... More

Graph Signal Sampling via Reinforcement LearningMay 15 2018We formulate the problem of sampling and recovering clustered graph signal as a multi-armed bandit (MAB) problem. This formulation lends naturally to learning sampling strategies using the well-known gradient MAB algorithm. In particular, the sampling ... More