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Q-Dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-Invariant Ising ModelsJun 12 2006Dec 29 2006We study the q-dependent susceptibility chi(q) of a series of quasiperiodic Ising models on the square lattice. Several different kinds of aperiodic sequences of couplings are studied, including the Fibonacci and silver-mean sequences. Some identities ... More

The Chiral Potts Models RevisitedJul 27 1994In honor of Onsager's ninetieth birthday, we like to review some exact results obtained so far in the chiral Potts models and to translate these results into language more transparent to physicists, so that experts in Monte Carlo calculations, high and ... More

Some Recent Results on Pair Correlation Functions and Susceptibilities in Exactly Solvable ModelsJun 19 2006Using detailed exact results on pair-correlation functions of Z-invariant Ising models, we can write and run algorithms of polynomial complexity to obtain wavevector-dependent susceptibilities for a variety of Ising systems. Reviewing recent work we compare ... More

Recent Developments on Ising and Chiral Potts ModelJun 09 2006After briefly reviewing selected Ising and chiral Potts model results, we discuss a number of properties of cyclic hypergeometric functions which appear naturally in the description of the integrable chiral Potts model and its three-dimensional generalizations. ... More

Spin-spin correlations in central rows of Ising models with holesJul 10 2019In our previous works on infinite horizontal Ising strips of width $m$ alternating with layers of strings of Ising chains of length $n$, we found the surprising result that the specific heats are not much different for different values of $N$, the separation ... More

Eigenvectors in the Superintegrable Model II: Ground State SectorMar 20 2008Jul 19 2009In 1993, Baxter gave $2^{m_Q}$ eigenvalues of the transfer matrix of the $N$-state superintegrable chiral Potts model with spin-translation quantum number $Q$, where $m_Q=\lfloor(NL-L-Q)/N\rfloor$. In our previous paper we studied the Q=0 ground state ... More

Quasicrystals: Projections of 5-d Lattice into 2 and 3 DimensionsJun 09 2006We show that generalized Penrose tilings can be obtained by the projection of a cut plane of a 5-dimensional lattice into two dimensions, while 3-d quasiperiodic lattices with overlapping unit cells are its projections into 3d. The frequencies of all ... More

Quantum Loop Subalgebra and Eigenvectors of the Superintegrable Chiral Potts Transfer MatricesJul 02 2009Nov 09 2010It has been shown in earlier works that for Q=0 and L a multiple of N, the ground state sector eigenspace of the superintegrable tau_2(t_q) model is highly degenerate and is generated by a quantum loop algebra L(sl_2). Furthermore, this loop algebra can ... More

Quasicrystals -- The impact of N.G. de BruijnJun 28 2013Aug 22 2013In this paper we put the work of Professor N.G. de Bruijn on quasicrystals in historical context. After briefly discussing what went before, we shall review de Bruijn's work together with recent related theoretical and experimental developments. We conclude ... More

Parafermions in the tau-2 model IIJun 20 2016Many years ago Baxter introduced an inhomogeneous two-dimensional classical spin model, now called the $\tau_2(t)$ model with free boundary conditions, and he specialized the resulting quantum spin-chain Hamiltonian in a special limit to a simple clock ... More

About 30 Years of Integrable Chiral Potts Model, Quantum Groups at Roots of Unity and Cyclic Hypergeometric FunctionsJan 05 2016Jan 08 2016In this paper we discuss the integrable chiral Potts model, as it clearly relates to how we got befriended with Vaughan Jones, whose birthday we celebrated at the Qinhuangdao meeting. Remarkably we can also celebrate the birthday of the model, as it has ... More

Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of UnityJun 08 2018At roots of unity the $N$-state integrable chiral Potts model and the six-vertex model descend from each other with the $\tau_2$ model as the intermediate. We shall discuss how different gauge choices in the six-vertex model lead to two different quantum ... More

The Large N Limits of the Chiral Potts ModelJun 04 1999In this paper we study the large-N limits of the integrable N-state chiral Potts model. Three chiral solutions of the star-triangle equations are derived, with states taken from all integers, or from a finite or infinite real interval. These solutions ... More

Overlapping Unit Cells in 3d Quasicrystal StructureJul 05 2005Jun 12 2006A 3-dimensional quasiperiodic lattice, with overlapping unit cells and periodic in one direction, is constructed using grid and projection methods pioneered by de Bruijn. Each unit cell consists of 26 points, of which 22 are the vertices of a convex polytope ... More

The Many Faces of the Chiral Potts ModelSep 02 1996In this talk, we give a brief overview of several aspects of the theory of the chiral Potts model, including higher-genus solutions of the star-triangle and tetrahedron equations, cyclic representations of affine quantum groups, basic hypergeometric functions ... More

Ising Models with Holes: Crossover BehaviorJun 03 2018In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated uniform horizontal ... More

Parafermions in the tau-2 modelFeb 01 2014Jul 04 2014It has been shown recently by Baxter that the $\tau_2(t_q)$ model with open boundary conditions can be solved by the "parafermionic" method of Fendley. In Baxter's paper there are several conjectures, which were formulated based on numerical short-chain ... More

Serre Relations in the Superintegrable ModelOct 22 2012Oct 25 2012We derive the Serre relations for the generators of the quantum loop algebra L(sl_2) of the superintegrable tau_2 model in Q not 0 sectors, thus proving a fundamental conjecture in an earlier paper on the superintegrable chiral Potts model.

Superintegrable chiral Potts model: Proof of the conjecture for the coefficients of the generating function G(t,u)Aug 23 2011In this paper, we prove the conjecture for the coefficients of the two variable generating function used in our previous paper. The conjecture was tested numerically before, but its proof was lacking up to now.

Identities in the Superintegrable Chiral Potts ModelJun 17 2009Jan 03 2010We present proofs for a number of identities that are needed to study the superintegrable chiral Potts model in the $Q\ne0$ sector.

Yang-Baxter EquationsJun 20 2006Preprint of an Encyclopedia article (Encyclopedia of Mathematical Physics, eds. J.-P. Fran\c{c}oise, G.L. Naber and Tsou S.T., Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 5, pages 465-473) extended with an appendix on relations of electric ... More

Q-Dependent Susceptibility in Z-Invariant Pentagrid Ising ModelSep 22 2004Dec 29 2006We study the q-dependent susceptibility chi(q) of a Z-invariant ferromagnetic Ising model on a Penrose tiling, as first introduced by Korepin using de Bruijn's pentagrid for the rapidity lines. The pair-correlation function for this model can be calculated ... More

The N to Infinity Limit of the Chiral Potts ModelMay 29 1993Jun 25 2006We consider the N to infinity limits of the N-state chiral Potts model. We find new weights that satisfy the star-triangle relations with spin variables either taking all the integer values or having values from a continous interval. The models provide ... More

CSOS models descending from chiral Potts models: Degeneracy of the eigenspace and loop algebraNov 26 2015Jan 30 2016Monodromy matrices of the $\tau_2$ model are known to satisfy a Yang--Baxter equation with a six-vertex $R$-matrix as the intertwiner. The commutation relations of the elements of the monodromy matrices are completely determined by this $R$-matrix. We ... More

Eigenvectors in the Superintegrable Model I: sl_2 GeneratorsOct 28 2007May 12 2008In order to calculate correlation functions of the chiral Potts model, one only needs to study the eigenvectors of the superintegrable model. Here we start this study by looking for eigenvectors of the transfer matrix of the periodic tau_2(t)model which ... More

Spontaneous Magnetization of the Integrable Chiral Potts ModelMar 25 2010Sep 12 2011We show how $Z$-invariance in the chiral Potts model provides a strategy to calculate the pair correlation in the general integrable chiral Potts model using only the superintegrable eigenvectors. When the distance between the two spins in the correlation ... More

New Results for the Correlation Functions of the Ising Model and the Transverse Ising ChainJan 14 2009May 15 2009In this paper we show how an infinite system of coupled Toda-type nonlinear differential equations derived by one of us can be used efficiently to calculate the time-dependent pair-correlations in the Ising chain in a transverse field. The results are ... More

Criticality in Alternating Layered Ising Models : I. Effects of connectivity and proximityApr 08 2013Sep 11 2013The specific heats of exactly solvable alternating layered planar Ising models with strips of width $m_1$ lattice spacings and ``strong'' couplings $J_1$ sandwiched between strips of width $m_2$ and ``weak'' coupling $J_2$, have been studied numerically ... More

Specific Heat of Ising Model with Holes: Mathematical Details Using Dimer ApproachesAug 22 2018In this paper, we use the dimer method to obtain the free energy of Ising models consisting of repeated horizontal strips of width $m$ connected by sequences of vertical strings of length $n$ mutually separated by distance $N$, with $N$ arbitrary, to ... More

Perfect Absorption Metasurfaces with Multiple Meta-ResonancesMar 08 2019Mar 16 2019We show that the hybrid resonances of a DMR backed by a cavity are meta-resonances, in that they can be made as perfect as possible by fine tuning the structural parameters but without the requirements of extreme materials properties, such as zero dissipation. ... More

Deep ensemble learning for Alzheimers disease classificationMay 30 2019Ensemble learning use multiple algorithms to obtain better predictive performance than any single one of its constituent algorithms could. With growing popularity of deep learning, researchers have started to ensemble them for various purposes. Few if ... More

A Combinatorial Approach to Mixed Ratios of Characteristic PolynomialsMay 18 2018We provide a combinatorial derivation of an asymptotic formula for averages of mixed ratios of characteristic polynomials over the unitary group, where mixed ratios are products of ratios and/or logarithmic derivatives. Our proof of this formula is a ... More

Overlap Identities for Littlewood-Schur FunctionsMay 18 2018Our results revolve around a new operation on partitions, which we call overlap. We prove two overlap identities for so-called Littlewood-Schur functions. Littlewood-Schur functions are a generalization of Schur functions, whose study was introduced by ... More

Van der Waerden's Theorem and Avoidability in WordsDec 12 2008Nov 17 2009Pirillo and Varricchio, and independently, Halbeisen and Hungerbuhler considered the following problem, open since 1994: Does there exist an infinite word w over a finite subset of Z such that w contains no two consecutive blocks of the same length and ... More

Asymptotic Behavior of Colored Jones polynomial and Turaev-Viro Invariant of figure eight knotNov 30 2017Jun 14 2018In this paper we investigate the asymptotic behavior of the colored Jones polynomial and the Turaev-Viro invariant for the figure eight knot. More precisely, we consider the $M$-th colored Jones polynomial evaluated at $(N+1/2)$-th root of unity with ... More

Further unifying two approaches to the hyperplane conjectureApr 26 2012We compare and combine two approaches that have been recently introduced by Dafnis and Paouris [DP] and by Klartag and Milman [KM] with the aim of providing bounds for the isotropic constants of convex bodies. By defining a new hereditary parameter for ... More

Representations of the Kauffman bracket skein algebra III: closed surfaces and naturalityMay 06 2015Mar 07 2016This is the third article in the series begun with [BonWon3, BonWon4], devoted to finite-dimensional representations of the Kauffman bracket skein algebra of an oriented surface $S$. In [BonWon3] we associated a classical shadow to an irreducible representation ... More

Who wrote this book? A challenge for e-commerceApr 19 2019Modern e-commerce catalogs contain millions of references, associated with textual and visual information that is of paramount importance for the products to be found via search or browsing. Of particular significance is the book category, where the author ... More

Young Stellar Groups and Their Most Massive StarsNov 05 2010We analyze the masses and spatial distributions of fourteen young stellar groups in Taurus, Lupus3, ChaI, and IC348. These nearby groups, which typically contain 20 to 40 members, have membership catalogs complete to ~0.02 M_sun, and are sufficiently ... More

On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equationsOct 26 2017In this paper we provide criteria for the insolvability of the Diophantine equation $x^2+D=y^n$. This result is then used to determine the class number of the quadratic field $\mathbb{Q}(\sqrt{-D})$. We also determine some criteria for the divisibility ... More

Phase separation in the Hubbard ModelFeb 09 1996Making use of symmetry properties and known exact results for the Hubbard Model on bipartite lattice, we show that (1) there is no phase separation for repulsive coupling at low dopings, (2) phase separation and superconductivity co-exist in the ground ... More

Exchange-Correlation Energy from Pairing Matrix Fluctuation and the Particle-Particle Random Phase ApproximationJun 20 2013We formulate an adiabatic connection for the exchange-correlation energy in terms of pairing matrix fluctuation. This connection opens new channels for density functional approximations based on pairing interactions. Even the simplest approximation to ... More

Filamentary flow and magnetic geometry in evolving cluster-forming molecular cloud clumpsMay 28 2016We present an analysis of the relationship between the orientation of magnetic fields and filaments that form in 3D magnetohydrodynamic simulations of cluster-forming, turbulent molecular cloud clumps. We examine simulated cloud clumps with size scales ... More

Optical Spectroscopy of GX339-4 During the High-Soft and Low-Hard States (Paper I)Jun 28 1999We carried out spectroscopic observations of the candidate black-hole binary GX339-4 during its low-hard and high-soft X-ray states, in 1997 and 1998 respectively. We have found that the spectrum is dominated by emission lines of neutral elements with ... More

High resolution optical and infrared spectroscopic observations of Cir X-1Apr 09 1999Apr 12 1999We present new optical and infrared (IR) observations of Cir X-1 taken near apastron. Both sets of spectra show asymmetric emission lines. Archival optical observations show that an asymmetric H-alpha emission line has been in evidence for the past twenty ... More

Towards joint sound scene and polyphonic sound event recognitionApr 23 2019Acoustic Scene Classification (ASC) and Sound Event Detection (SED) are two separate tasks in the field of computational sound scene analysis. In this work, we present a new dataset with both sound scene and sound event labels and use this to demonstrate ... More

Polyphonic Sound Event and Sound Activity Detection: A Multi-task approachJul 11 2019Polyphonic Sound Event Detection (SED) in real-world recordings is a challenging task because of the dynamic polyphony level, intensity, and duration of sound events. Current polyphonic SED systems fail to model the temporal structure of sound events ... More

A remark on the slicing problemJul 22 2011The purpose of this article is to describe a reduction of the slicing problem to the study of the parameter I_1(K,Z_q^o(K))=\int_K ||< :, x> ||_{L_q(K)}dx. We show that an upper bound of the form I_1(K,Z_q^o(K))\leq C_1q^s\sqrt{n}L_K^2, with 1/2\leq s\leq ... More

A unified framework of SAGE and SONC polynomials and its duality theoryMar 21 2019We introduce and study a cone which consists of a class of generalized polynomial functions and which provides a common framework for recent non-negativity certificates of polynomials in sparse settings. Specifically, this $S$-cone generalizes and unifies ... More

A Gossip-based optimistic replication for efficient delay-sensitive streaming using an interactive middleware support systemSep 09 2010While sharing resources the efficiency is substantially degraded as a result of the scarceness of availability of the requested resources in a multiclient support manner. These resources are often aggravated by many factors like the temporal constraints ... More

From Clumps to Cores to Protostars: The JCMT Gould Belt Survey's "First-Look" analysis of Southern Orion A using SCUBA-2Dec 04 2017We present a subset of the James Clerk Maxwell Telescope Gould Belt Survey's "first-look" results of the southern extent of the Orion A molecular cloud. Employing a two-step structure identification process, we constructed individual catalogues for large-scale ... More

The isotropic position and the reverse Santaló inequalityDec 13 2011We present proofs of the reverse Santal\'{o} inequality, the existence of M-ellipsoids and the reverse Brunn-Minkowski inequality, using purely convex geometric tools. Our approach is based on properties of the isotropic position.

Spatial automatic subgroup analysis for areal data with repeated measuresJun 05 2019We consider the subgroup analysis problem for spatial areal data with repeated measures. To take into account spatial data structures, we propose to use a class of spatially-weighted concave pairwise fusion method which minimizes the objective function ... More

Using tensor hypercontraction density fitting to achieve an O(L^4) CISD algorithmSep 13 2012Recently, Hohenstein et al[1] introduced tensor hypercontraction density fitting to decompose the rank-4 electron repulsion integral tensor as the product of five rank-2 tensors. In this paper, we use this methodology to construct an algorithm which calculates ... More

Model Selection for High Dimensional Quadratic Regression via RegularizationDec 31 2014Jul 14 2016Quadratic regression (QR) models naturally extend linear models by considering interaction effects between the covariates. To conduct model selection in QR, it is important to maintain the hierarchical model structure between main effects and interaction ... More

Measuring disorder in irreversible decay processesSep 09 2014Rate coefficients can fluctuate in statically and dynamically disordered kinetics. Here we relate the rate coefficient for an irreversibly decaying population to the Fisher information. From this relationship we define kinetic versions of statistical-length ... More

Matching complexes of trees and applications of the matching tree algorithmMay 25 2019Jun 16 2019A matching complex of a simple graph $G$ is a simplicial complex with faces given by the matchings on $G$. The topology of matching complexes is mysterious; there are few graphs for which the homotopy type is known. Marietti and Testa showed that matching ... More

Anonymous Single-Sign-On for n designated services with traceabilityApr 19 2018Anonymous Single-Sign-On authentication schemes have been proposed to allow users to access a service protected by a verifier without revealing their identity which has become more important due to the introduction of strong privacy regulations. In this ... More

Ultra-broadband SPDC for spectrally far separated photon pairsJul 12 2019Generating photon pairs via spontaneous parametric down-conversion (SPDC) in nonlinear crystals is important for a wide range of quantum optics experiments with spectral properties such as their bandwidths often being a crucial concern. Here, we show ... More

Super Damping of Mechanical VibrationsNov 21 2018Dec 03 2018We report the phenomenon of coherent super decay, where a linear sum of several damped oscillators can collectively decay much faster than the individual ones in the first stage, followed by stagnating ones after more than 90 percent of the energy has ... More

Formation of optical lines in black-hole binariesJan 22 2001The HI Balmer emission lines of black-hole binaries show double-peaked profiles during the high-soft state and the quiescent state. In the high-soft state the profiles are asymmetric with a stronger red peak, but the profiles are symmetric in the quiescent ... More

Reconstructing PSCz with a Generalized PIZAAug 27 1999We present a generalized version of the Path Interchange Zel'dovich Approximation (PIZA; Croft and Gaztanaga 1997; hereafter CG97), which may be used to reconstruct density and velocity fields from realistic galaxy redshift surveys. The original PIZA ... More

Finite-rank perturbations of random band matrices via infinitesimal free probabilityJun 24 2019We prove a sharp $\sqrt{N}$ transition for the infinitesimal distribution of a periodically banded GUE matrix. For band widths $b_N = \Omega(\sqrt{N})$, we further prove that our model is infinitesimally free from the matrix units and the normalized all-ones ... More

Traffic distributions of random band matricesJan 10 2016May 20 2017We study random band matrices within the framework of traffic probability, an operadic non-commutative probability theory introduced by Male based on graph operations. As a starting point, we revisit the familiar case of the permutation invariant Wigner ... More

Limit Laws for Random Matrices from Traffic-Free ProbabilityJan 10 2016We consider a random matrix ensemble that interpolates between the Wigner matrices and the random Markov matrices studied by Bryc, Dembo, and Jiang. For a real Wigner matrix $\mathbf{W}_n$, let $\mathbf{D}_n$ be the diagonal matrix whose entries correspond ... More

The Quest for Quantum GravityJun 02 1995One of the greatest challenges facing theoretical physics lies in reconciling Einstein's classical theory of gravity - general relativity - with quantum field theory. Although both theories have been experimentally supported in their respective regimes, ... More

Perfect Absorption Metasurfaces with Multiple Meta-ResonancesMar 08 2019We show that the hybrid resonances of a DMR backed by a cavity are meta-resonances, in that they can be made as perfect as possible by fine tuning the structural parameters but without the requirements of extreme materials properties, such as zero dissipation. ... More

Upper triangular matrices and Billiard ArraysAug 18 2015Jan 15 2016Fix a nonnegative integer $d$, a field $\mathbb{F}$, and a vector space $V$ over $\mathbb{F}$ with dimension $d+1$. Let $T$ denote an invertible upper triangular matrix in ${\rm Mat}_{d+1}(\mathbb{F})$. Using $T$ we construct three flags on $V$. We find ... More

Equivalence of Particle-Particle Random Phase Approximation Correlation Energy and Ladder-Coupled-Cluster-DoubleJun 24 2013We present an analytical proof and numerical demonstrations of the equivalence of the correlation energy from particle-particle random phase approximation (pp-RPA) and ladder-couple-cluster-doubles (ladder-CCD). These two theories reduce to the identical ... More

Demonstration of UV-written waveguides, Bragg gratings and cavities at 780 nm, and an original experimental measurement of group delaySep 26 2011We present direct UV-written waveguides and Bragg gratings operating at 780 nm. By combining two gratings into a Fabry-Perot cavity we have devised and implemented a novel and practical method of measuring the group delay of Bragg gratings.

A Differential Degree Test for Comparing Brain NetworksSep 28 2018Recently, graph theory has become a popular method for characterizing brain functional organization. One important goal in graph theoretical analysis of brain networks is to identify network differences across disease types or conditions. Typical approaches ... More

Spatial separation of pyrrole and pyrrole-water clustersDec 14 2018May 14 2019We demonstrate the spatial separation of pyrrole and pyrrole(H$_2$O) clusters from the other atomic and molecular species in a supersonically-expanded beam of pyrrole and traces of water seeded in high-pressure helium gas. The experimental results are ... More

Spectroscopy of very hot plasma in non-flaring parts of a solar limb active region: spatial and temporal propertiesJul 26 2017In this work we investigate the thermal structure of an off-limb active region in various non-flaring areas, as it provides key information on the way these structures are heated. In particular, we concentrate in the very hot component (>3 MK) as it is ... More

The clinical target distribution: a probabilistic alternative to the clinical target volumeJun 22 2018Definition of the clinical target volume (CTV) is one of the weakest links in the radiation therapy chain. In particular, inability to account for uncertainties is a severe limitation in the traditional CTV delineation approach. Here, we introduce and ... More

Automated Characterization of Stenosis in Invasive Coronary Angiography Images with Convolutional Neural NetworksJul 19 2018The determination of a coronary stenosis and its severity in current clinical workflow is typically accomplished manually via physician visual assessment (PVA) during invasive coronary angiography. While PVA has shown large inter-rater variability, the ... More

The tensor hypercontracted parametric reduced density matrix algorithm: coupled-cluster accuracy with O(r^4) scalingMay 21 2013Tensor hypercontraction is a method that allows the representation of a high-rank tensor as a product of lower-rank tensors. In this paper, we show how tensor hypercontraction can be applied to both the electron repulsion integral (ERI) tensor and the ... More

Current Star Formation in the Ophiuchus and Perseus Molecular Clouds: Constraints and Comparisons from Unbiased Submillimeter and Mid-Infrared Surveys. IIMay 06 2008We present a census of the population of deeply embedded young stellar objects (YSOs) in the Ophiuchus molecular cloud complex based on a combination of Spitzer Space Telescope mid-infrared data from the "Cores to Disks" (c2d) legacy team and JCMT/SCUBA ... More

The SCUBA Legacy Catalogue: Continuum Objects Detected by SCUBAJan 17 2008Jan 21 2008We present the SCUBA Legacy Catalogues, two comprehensive sets of continuum maps (and catalogues) using data at 850 microns and 450 microns of the various astronomical objects obtained with the Submillimetre Common User Bolometer Array (SCUBA). The Fundamental ... More

Classification of 2.4-45.2 Micron Spectra from the ISO Short Wavelength SpectrometerJan 30 2002The Infrared Space Observatory observed over 900 objects with the Short Wavelength Spectrometer in full-grating-scan mode (2.4-45.2 micron). We have developed a comprehensive system of spectral classification using these data. Sources are assigned to ... More

Derivative-based global sensitivity analysis for models with high-dimensional inputs and functional outputsFeb 12 2019Feb 17 2019We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from derivative-based GSA, random field representation via Karhunen--Lo\`{e}ve expansions, ... More

Symbolic Reachability Analysis of B through ProB and LTSminMar 14 2016We present a symbolic reachability analysis approach for B that can provide a significant speedup over traditional explicit state model checking. The symbolic analysis is implemented by linking ProB to LTSmin, a high-performance language independent model ... More

Recognizing Image StyleNov 15 2013Jul 23 2014The style of an image plays a significant role in how it is viewed, but style has received little attention in computer vision research. We describe an approach to predicting style of images, and perform a thorough evaluation of different image features ... More

Signal recovery and frames that are robust to erasureSep 12 2013Dec 08 2013We consider finite frames with high redundancy so that if half the terms transmitted from the sender are randomly deleted during transmission, then on average, the receiver can still recover the signal to within a high level of accuracy. This follows ... More

Covariant Phase Space Formulations of Superparticles and Supersymmetric WZW ModelsMar 10 1994We present new covariant phase space formulations of superparticles moving on a group manifold, deriving the fundamental Poisson brackets and current algebras. We show how these formulations naturally generalise to the supersymmetric Wess-Zumino-Witten ... More

Generalized de Bruijn words for Primitive words and PowersApr 25 2009Jun 29 2015We show that for every $n \geq 1$ and over any finite alphabet, there is a word whose circular factors of length $n$ have a one-to-one correspondence with the set of primitive words. In particular, we prove that such a word can be obtained by a greedy ... More

On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening FlowFeb 12 2001Feb 13 2001In the study of the curve shortening flow on general closed curves, Abresch and Langer posed a conjecture that the homothetic curves can be regarded as saddle points between multi-folded circles and some singular curves. In other words, these homothetic ... More

Hamiltonian Reduction and Supersymmetric Toda ModelsMay 04 1995New formulations of the solutions of N=1 and N=2 super Toda field theory are introduced, using Hamiltonian Reduction of the N=1 and N=2 super WZNW Models to the super Toda Models. These parameterisations are then used to present the Hamiltonian formulations ... More

On Optimal Latency of CommunicationsSep 30 2016Jan 04 2017In this paper we investigate the optimal latency of communications. Focusing on fixed rate communication without any feedback channel, this paper encompasses low-latency strategies with which one hop and multi-hop communication issues are treated from ... More

The Dynamics of Off-center ReflectionAug 13 1999Feb 13 2001The dynamical properties, especially the symmetric orbits, of the 2-parameter family of circle maps called off-center reflection is studied.

On Optimal Latency of CommunicationsSep 30 2016In this paper we investigate the optimal latency of communications. Focusing on fixed rate communication without any feedback channel, this paper encompasses low-latency strategies with which one hop and multi-hop communication issues are treated from ... More

Random Forests, Decision Trees, and Categorical Predictors: The "Absent Levels" ProblemJun 12 2017Oct 28 2018One advantage of decision tree based methods like random forests is their ability to natively handle categorical predictors without having to first transform them (e.g., by using feature engineering techniques). However, in this paper, we show how this ... More

An asymmetric arcsecond radio jet from Circinus X-1Aug 23 1998In observations with the Australia Telescope Compact Array we have resolved the radio counterpart of the unusual X-ray binary Cir X-1 into an asymmetric extended structure on arcsecond scales. In order to quantify the asymmetry we have redetermined as ... More

User Scheduling for Heterogeneous Multiuser MIMO Systems: A Subspace ViewpointAug 14 2011In downlink multiuser multiple-input multiple-output (MU-MIMO) systems, users are practically heterogeneous in nature. However, most of the existing user scheduling algorithms are designed with an implicit assumption that the users are homogeneous. In ... More

Interpreting the Ionization Sequence in Star-Forming Galaxy Emission-Line SpectraJan 13 2016High ionization star forming (SF) galaxies are easily identified with strong emission line techniques such as the BPT diagram, and form an obvious ionization sequence on such diagrams. We use a locally optimally emitting cloud model to fit emission line ... More

Particle-mediated nucleation pathways are imprinted in the internal structure of calcium sulfate single crystalsDec 07 2018Jul 04 2019Calcium sulfate minerals are found under the form of three crystalline phases: gypsum (CaSO4.2H2O), bassanite (CaSO4.0.5H2O), and anhydrite (CaSO4). Due to its relevance in natural and industrial processes, the formation pathways of these calcium sulphate ... More

Spin dynamics of coupled spin ladders near quantum criticality in Ba2CuTeO6Jun 11 2018Dec 07 2018We report inelastic neutron scattering measurements of the magnetic excitations in Ba2CuTeO6, proposed by ab initio calculations to magnetically realize weakly coupled antiferromagnetic two-leg spin-1/2 ladders. Isolated ladders are expected to have a ... More

Astrophysical limits on very light axion-like particles from Chandra grating spectroscopy of NGC 1275Jul 11 2019Axions and axion-like particles (ALPs) are a well motivated extension of the Standard Model and are generic in String Theory. The X-ray transparency of the magnetized intracluster medium (ICM) in galaxy clusters is a powerful probe of very light ALPs ... More

Multiwave tomography in a closed domain: averaged sharp time reversalDec 29 2014Feb 05 2015We study the mathematical model of multiwave tomography including thermo and photoacoustic tomography with a variable speed for a fixed time interval $[0,T]$. We assume that the waves reflect from the boundary of the domain. We propose an averaged sharp ... More

$L^2$ Forms and Ricci flow with bounded curvature on Complete Non-compact manifoldsSep 11 2005In this paper, we study the evolution of $L^2$ one forms under Ricci flow with bounded curvature on a non-compact Rimennian manifold. We show on such a manifold that the $L^2$ norm of a smooth one form with compact support is non-increasing along the ... More

Decay of correlations for maximal measure of maps derived from Anosov: I: mostly contracting centerOct 03 2016It was proven by Ures that $C^1$ diffeomorphism on three dimensional torus that is derived from Anosov admits a unique maximal measure. Here we show that the maximal measure has exponential decay of correlations for H\"older observables, assuming the ... More