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Random Lindblad DynamicsFeb 04 2019We study the mixing behavior of random Lindblad generators with no symmetries, using the dynamical map or propagator of the dissipative evolution. In particular, we determine the long-time behavior of a dissipative form factor, which is the trace of the ... More

Central charge from adiabatic transport of cusp singularities in the quantum Hall effectNov 17 2016We study quantum Hall (QH) states on a punctured Riemann sphere. We compute the Berry curvature under adiabatic motion in the moduli space in the large N limit. The Berry curvature is shown to be finite in the large N limit and controlled by the conformal ... More

Atomic Resolution Imaging of Currents in Nanoscopic Quantum Networks via Scanning Tunneling MicroscopySep 18 2012We propose a new method for atomic-scale imaging of spatial current patterns in nanoscopic quantum networks by using scanning tunneling microscopy (STM). By measuring the current flowing from the STM tip into one of the leads attached to the network as ... More

Spatial Current Patterns, Dephasing and Current Imaging in Graphene NanoribbonsFeb 06 2014Using the non-equilibrium Keldysh Green's function formalism, we investigate the local, non-equilibrium charge transport in graphene nanoribbons (GNRs). In particular, we demonstrate that the spatial current patterns associated with discrete transmission ... More

Current Eigenmodes and Dephasing in Nanoscopic Quantum NetworksMar 14 2012Using the non-equilibrium Keldysh Green's function formalism, we show that the non-equilibrium charge transport in nanoscopic quantum networks takes place via {\it current eigenmodes} that possess characteristic spatial patterns. We identify the microscopic ... More

Measuring Electromagnetic and Gravitational Responses of Photonic Landau LevelsFeb 13 2018The topology of an object describes global properties that are insensitive to local perturbations. Classic examples include string knots and the genus (number of handles) of a surface: no manipulation of a closed string short of cutting it changes its ... More

Spectral gaps and mid-gap states in random quantum master equationsFeb 04 2019We discuss the decay rates of chaotic quantum systems coupled to noise. We model both the Hamiltonian and the system-noise coupling by random $N \times N$ Hermitian matrices, and study the spectral properties of the resulting Lindblad superoperator. We ... More

It is indeed a fundamental construction of all linear codesOct 20 2016Linear codes are widely employed in communication systems, consumer electronics, and storage devices. All linear codes over finite fields can be generated by a generator matrix. Due to this, the generator matrix approach is called a fundamental construction ... More

Homotopies in Classical and Paraconsistent Modal LogicsJul 25 2011Topological semantics for modal logics has recently gained new momentum in many different branches of logic. In this paper, we will consider the topological semantics of both classical and paraconsistent modal logics. This work is a new step in the research ... More

Paraconsistency and Topological SemanticsJul 25 2011Nov 10 2011The well-studied notion of deductive explosion describes the situation where any formula can be deduced from an inconsistent set of formulas. Paraconsistent logic, on the other hand, is the umbrella term for logical systems where the logical consequence ... More

On the stability of exact ABCs for the reaction-subdiffusion equation on unbounded domainOct 29 2015Oct 30 2015In this note we propose the exact artificial boundary conditions formula to the fractional reaction-subdiffusion equation on an unbounded domain. With the application of Laplace transformation, the exact artificial boundary conditions (ABCs) are derived ... More

A Logic for Strategy UpdatesJul 25 2011Notion of strategy in game theory is static and presumably constructed before the game play. The static, pre-determined notion of strategies falls short analyzing perfect information games. Because, we, people, do not strategize as such even in perfect ... More

Stable torsion theories and the injective hulls of simple modulesFeb 13 2014A torsion theoretical characterization of left Noetherian rings $R$ over which injective hulls of simple left modules are locally Artinian is given. Sufficient conditions for a left Noetherian ring to satisfy this finiteness condition are obtained in ... More

Full blow-up range for co-rotaional wave maps to surfaces of revolutionSep 02 2014We construct blow-up solutions of the energy critical wave map equation on $\mathbb{R}^{2+1}\to \mathcal N$ with polynomial blow-up rate ($t^{-1-\nu}$ for blow-up at $t=0$) in the case when $\mathcal{N}$ is a surface of revolution. Here we extend the ... More

Dawn of Cavity SpintronicsAug 08 2015Merging the progress of spintronics with the advancement in cavity quantum electrodynamics and cavity polaritons, a new field of Cavity Spintronics is forming, which connects some of the most exciting modern physics, such as quantum information and quantum ... More

Enhancing Multiuser MIMO Through Opportunistic D2D CooperationApr 21 2016Sep 30 2016We propose a cellular architecture that combines multiuser MIMO (MU-MIMO) downlink with opportunistic use of unlicensed ISM bands to establish device-to-device (D2D) cooperation. The architecture consists of a physical-layer cooperation scheme based on ... More

Can A Pseudo-Nambu-Goldstone Higgs Lead To Symmetry Non-Restoration?Aug 20 2015Feb 18 2016The calculation of finite temperature contributions to the scalar potential in a quantum field theory is similar to the calculation of loop corrections at zero temperature. In natural extensions of the Standard Model where loop corrections to the Higgs ... More

Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebrasAug 16 2011We show that the finite dimensional nilpotent complex Lie superalgebras g whose injective hulls of simple U(g)-modules are locally Artinian are precisely those whose even part g_0 is isomorphic to a nilpotent Lie algebra with an abelian ideal of codimension ... More

Toroidal affine Nash groupsSep 22 2015Apr 07 2016A toroidal affine Nash group is the affine Nash group analogue of an anti-affine algebraic group. In this note, we prove analogues of Rosenlicht's structure and decomposition theorems: (1) Every affine Nash group $G$ has a smallest normal affine Nash ... More

A remarkable representation on nilpotent file placementsJun 04 2015Exploiting the interplay between the rook theory, graph theory, and semigroup theory, we define and study a remarkable representation of the symmetric group on labeled rooted forests. We compute various character formulas and multiplicities.

Metastability for the contact process on the preferential attachment graphFeb 19 2015Mar 02 2015We consider the contact process on the preferential attachment graph. The work of Berger, Borgs, Chayes and Saberi [BBCS1] confirmed physicists predictions that the contact process starting from a typical vertex becomes endemic for an arbitrarily small ... More

Universal Sound Attenuation in Amorphous Solids at Low-TemperaturesMar 06 2012Disordered solids are known to exhibit quantitative universalities at low temperatures, the most striking of which is the ultrasonic attenuation coefficient Q. The established theory of tunneling two state systems (TTLS) in its original form (i.e. without ... More

High order schemes for the tempered fractional diffusion equationsFeb 01 2014Sep 25 2014L\'{e}vy flight models whose jumps have infinite moments are mathematically used to describe the superdiffusion in complex systems. Exponentially tempering the Levy measure of L\'{e}vy flights leads to the tempered stable L\'{e}vy processes which combine ... More

Second order WSGD operators II: A new family of difference schemes for space fractional advection diffusion equationOct 29 2013The second order weighted and shifted Gr\"{u}nwald difference (WSGD) operators are developed in [Tian et al., arXiv:1201.5949] to solve space fractional partial differential equations. Along this direction, we further design a new family of second order ... More

A New Descent Algebra for Standard Parabolic Subgroups of $W(A_n)$Aug 13 2014A new descent algebra $\sum_{W}(A_{n})$ of Weyl groups of type $A_n$, constructed by present authors in [1], is generated by equivalence classes $[x_J]$ arising from the equivalence relation defined on the set of all $x_J$. In this paper, we introduce ... More

Edge sampling using network local informationOct 13 2017Edge sampling is an important topic in network analysis. It provides a natural way to reduce network size while retaining desired features of the original network. Sampling methods that only use local information are common in practice as they do not ... More

Contact process on one-dimensional long-range percolationJun 08 2015Jan 04 2016Recently, by introducing the notion of cumulatively merged partition, M\'enard and Singh provide a sufficient condition on graphs ensuring that the critical value of the contact process is positive. In this note, we show that the one-dimensional long ... More

Opportunistic Scheduling for Full-Duplex Uplink-Downlink NetworksApr 22 2015We study opportunistic scheduling and the sum capacity of cellular networks with a full-duplex multi-antenna base station and a large number of single-antenna half-duplex users. Simultaneous uplink and downlink over the same band results in uplink-to-downlink ... More

When Models Interact with their Subjects: The Dynamics of Model Aware SystemsMay 13 2011A scientific model need not be a passive and static descriptor of its subject. If the subject is affected by the model, the model must be updated to explain its affected subject. In this study, two models regarding the dynamics of model aware systems ... More

Supersolvable lattices of $J$-classesFeb 04 2010The purpose of this article is to investigate the combinatorial properties of the cross section lattice of a $J$-irreducible monoid associated with a semisimple algebraic group of one of the types $A_n$, $B_n$, or $C_n$. Our main tool is a theorem of ... More

Refined Topological Strings and Toric Calabi-Yau ThreefoldsOct 10 2012The refined topological vertex formulation computes the refined topological string partition function for non-compact toric Calabi-Yau threefolds which engineer N=2 supersymmetric gauge theories. For geometries such as the local P^2, which do not give ... More

A Tweet Dataset Annotated for Named Entity Recognition and Stance DetectionJan 15 2019Jan 16 2019Annotated datasets in different domains are critical for many supervised learning-based solutions to related problems and for the evaluation of the proposed solutions. Topics in natural language processing (NLP) similarly require annotated datasets to ... More

A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivativeSep 11 2011A one dimensional fractional diffusion model with the Riemann-Liouville fractional derivative is studied. First, a second order discretization for this derivative is presented and then an unconditionally stable weighted average finite difference method ... More

Nested Hilbert schemes and the nested q,t-Catalan seriesNov 05 2007In this paper we study the tangent spaces of the smooth nested Hilbert scheme $ Hil{n,n-1}$ of points in the plane, and give a general formula for computing the Euler characteristic of a $\TT^2$-equivariant locally free sheaf on $\Hil{n,n-1}$. Applying ... More

Nondestructive testing of grating imperfections using grating-based X-ray phase-contrast imagingAug 23 2017We reported the usage of grating-based X-ray phase-contrast imaging in nondestructive testing of grating imperfections. It was found that electroplating flaws could be easily detected by conventional absorption signal, and in particular, we observed that ... More

Interpolation inequality at one time point for parabolic equations with time-independent coefficients and applicationsDec 04 2017In this paper, we study the H\"older-type interpolation inequality and observability inequality from measurable sets in time for parabolic equations either with L^p unbounded potentials or with electric potentials. The parabolic equations under consideration ... More

Computing Periods of HypersurfacesMar 21 2018We give an algorithm to compute the periods of smooth projective hypersurfaces of any dimension. This is an improvement over existing algorithms which could only compute the periods of plane curves. Our algorithm reduces the evaluation of period integrals ... More

Optimal polynomial blow up range for critical wave mapsMar 28 2014We prove that the critical Wave Maps equation with target $S^2$ and origin $\mathbb{R}^{2+1}$ admits energy class blow up solutions of the form $$u(t,r)=Q(\lambda(t)r)+\epsilon(t,r)$$where $Q: \mathbb{R}^2 \to S^2$ is the ground state harmonic map and ... More

Walking solutions in the string background dual to N=1 SQCD-like theoriesJun 12 2009Jun 22 2009A new solution in the string background dual to N=1 SQCD-like theories is presented. The gauge coupling in this solution has walking property. The Wilson loop calculations show that quark anti-quark potential makes phase transitions. Additionally the ... More

Character analogues of certain Hardy-Berndt sumsJun 05 2015In this paper we consider transformation formulas for \[ B\left( z,s:\chi\right) =\sum\limits_{m=1}^{\infty}\sum\limits_{n=0} ^{\infty}\chi(m)\chi(2n+1)\left( 2n+1\right) ^{s-1}e^{\pi im(2n+1)z/k}. \] We derive reciprocity theorems for the sums arising ... More

A New Descent Algebra of Weyl Groups of Type AnApr 18 2014In this paper we define an equivalence relation on the set of all $x_{J}$ in order to form a basis for a new descent algebra of Weyl groups of type $A_{n}$. By means of this, we construct a new commutative and semi-simple descent algebra of Weyl groups ... More

The LHC Phenomenology of Vectorlike ConfinementJan 25 2010May 05 2010We investigate in detail the LHC phenomenology of "vectorlike confinement", where the Standard Model is augmented by a new confining gauge interaction and new light fermions that carry vectorlike charges under both the Standard Model and the new gauge ... More

Classification of Reductive Monoid Spaces Over an Arbitrary FieldDec 22 2017Aug 16 2018In this semi-expository paper we review the notion of a spherical space. In particular we present some recent results of Wedhorn on the classification of spherical spaces over arbitrary fields. As an application, we introduce and classify reductive monoid ... More

Approximating fractional derivative of the Gaussian function and Dawson's integralSep 07 2017A new method for approximating fractional derivatives of the Gaussian function and Dawson's integral are presented. Unlike previous approaches, which are dominantly based on some discretization of Riemann-Liouville integral using polynomial or discrete ... More

Heuristic algorithms for obtaining Polynomial Threshold Functions with low densitiesApr 05 2015In this paper we present several heuristic algorithms, including a Genetic Algorithm (GA), for obtaining polynomial threshold function (PTF) representations of Boolean functions (BFs) with small number of monomials. We compare these among each other and ... More

Lexicographic Shellability of Partial InvolutionsMay 01 2012Feb 21 2013In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices. In particular, we show that the Bruhat poset of partial involutions is a lexicographiically shellable poset. Also, studying the embeddings of symmetric groups ... More

Perturbative construction of the two-dimensional O(N) non-linear sigma model with ERGOct 02 2009We use the exact renormalization group (ERG) perturbatively to construct the Wilson action for the two-dimensional O(N) non-linear sigma model. The construction amounts to regularization of a non-linear symmetry with a momentum cutoff. A quadratically ... More

Ordered Bell numbers, Hermite polynomials, Skew Young Tableaux, and Borel orbitsNov 29 2011Jun 07 2012We give three interpretations of the number $b$ of orbits of the Borel subgroup of upper triangular matrices on the variety $\ms{X}$ of complete quadrics. First, we show that $b$ is equal to the number of standard Young tableaux on skew-diagrams. Then, ... More

SL(2)-regular Subvarieties of Complete QuadricsOct 29 2011We determine SL(n)-stable, SL(2)-regular subvarieties of the variety of complete quadrics. We extend the results of Aky{\i}ld{\i}z and Carrell on Kostant-Macdonald identity by computing the Poincar{\'e} polynomials of these regular subvarieties.

Basic Performance Limits and Tradeoffs in Energy Harvesting Sensor Nodes with Finite Data and Energy StorageSep 03 2010Sep 05 2012As many sensor network applications require deployment in remote and hard-to-reach areas, it is critical to ensure that such networks are capable of operating unattended for long durations. Consequently, the concept of using nodes with energy replenishment ... More

A numerical transcendental method in algebraic geometryNov 26 2018Based on high precision computation of periods and lattice reduction techniques, we compute the Picard group of smooth surfaces. We also study the lattice reduction technique that is employed in order to quantify the possibility of numerical error in ... More

Smooth Schubert Varieties are SphericalMar 14 2018Sep 18 2018We prove the statement in the title of this paper: a smooth Schubert variety $X$ is spherical with respect to the induced action of any Levi subgroup of the parabolic subgroup which stabilizes $X$.

Extended Bernoulli and Stirling matrices and related combinatorial identitiesJun 25 2013Dec 04 2013In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers. ... More

Scheme for preparation of mulipartite entanglement of atomic ensemblesMay 28 2002Oct 27 2003We describe an experimental scheme of preparing multipartite W class of maximally entangled states between many atomic ensembles. The scheme is based on laser manipulation of atomic ensembles and single-photon detection, and well fits the status of the ... More

Inferring Network Structure from CascadesNov 15 2016Many physical, biological and social phenomena can be described by cascades taking place on a network. Often, the activity can be empirically observed, but not the underlying network of interactions. In this paper we solve the dynamics of general cascade ... More

Equivariant $K$-theory of smooth projective spherical varietiesMar 16 2016We provide a GKM-type description of the equivariant $K$-theory of a smooth projective spherical variety. This provides an integral $K$-theory version of Brion's calculation of equivariant Chow-cohomology of such varieties. We then analyze the torus equivariant ... More

Unconventional pairing in excitonic condensates under spin-orbit couplingAug 21 2008Feb 12 2009It is shown that the Rashba and Dresselhaus spin orbit couplings enhance the conclusive power in the experiments on the excitonic condensed state by at least three low temperature effects. First, spin orbit coupling facilitates the photoluminescense measurements ... More

Complex $\text{G}_2$ and associative grassmannianDec 10 2015By using techniques from calibrated geometries, we investigate the parametrizing variety of quaternion subalgebras of the complex octonions. This variety is the unique smooth spherical compactification of $G_2/SO(4)$ with Picard number 1. We describe ... More

On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomialsDec 23 2014Feb 09 2015We give a simple proof for the reciprocity formulas of character Dedekind sums associated with two primitive characters, whose modulus need not to be same, by utilizing the character analogue of the Euler-MacLaurin summation formula. Moreover, we extend ... More

LRS Bianchi Type I Models with Anisotropic Dark Energy and Constant Deceleration ParameterJul 30 2008May 01 2009Locally rotationally symmetric (LRS) Bianchi Type I cosmological models are examined in the presence of dynamically anisotropic dark energy and perfect fluid. We assume that the dark energy (DE) is minimally interacting, has dynamical energy density, ... More

Adjoint Representations of the Symmetric GroupMar 29 2018We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules. ... More

A Cognitive Model of an Epistemic Community: Mapping the Dynamics of Shallow Lake EcosystemsSep 18 2005We used fuzzy cognitive mapping (FCM) to develop a generic shallow lake ecosystem model by augmenting the individual cognitive maps drawn by 8 scientists working in the area of shallow lake ecology. We calculated graph theoretical indices of the individual ... More

Analytical Representation for Equations of State of Dense MatterAug 10 2011Aug 11 2011We present an analytical unified representation for 22 equations of state (EoS) of dense matter in neutron stars. Such analytical representations can be useful for modeling neutron star structure in modified theories of gravity with high order derivatives. ... More

Character analogue of the Boole summation formula with applicationsOct 04 2016In this paper, we present the character analogue of the Boole summation formula. Using this formula, an integral representation is derived for the alternating Dirichlet $L-$function and its derivative is evaluated at $s=0$. Some applications of the character ... More

Cognitive Maps of Complex Systems Show Hierarchical Structure and Scale-Free PropertiesDec 16 2006Many networks in natural and human-made systems exhibit scale-free properties and are small worlds. Now we show that people's understanding of complex systems in their cognitive maps also follow a scale-free topology (P_k = k^-lambda, lambda [1.24,3.03]; ... More

Scheme for preparation of nonmaximal entanglement between two atomic ensemblesJul 03 2002Jul 08 2002We propose an experimentally feasible scheme to generate nonmaximal entanglement between two atomic ensembles. The degree of entanglement is readily tunable. The scheme involves laser manipulation of atomic ensembles, adjustable quarter- and half-wave ... More

Energy Optimal Transmission Scheduling in Wireless Sensor NetworksFeb 27 2010One of the main issues in the design of sensor networks is energy efficient communication of time-critical data. Energy wastage can be caused by failed packet transmission attempts at each node due to channel dynamics and interference. Therefore transmission ... More

From Parking Functions to Gelfand PairsFeb 08 2010Sep 25 2010A pair $(G,K)$ of a group and its subgroup is called a Gelfand pair if the induced trivial representation of $K$ on $G$ is multiplicity free. Let $(a_j)$ be a sequence of positive integers of length $n$, and let $(b_i)$ be its non-decreasing rearrangement. ... More

Monodromy of torus fibrations and decomposability problemJul 25 2016The notion of a (stably) decomposable fiber bundle is introduced. For torus fibrations over the circle, the notion translates into a property of matrices from special linear group of integral matrices. We give a complete characterization of the stably ... More

Periodic analogues of Dedekind sums and transformation formulas of Eisenstein seriesJun 05 2015Jan 06 2016In this paper, a transformation formula under modular substitutions is derived for a large class of generalized Eisenstein series. Appearing in the transformation formulae are generalizations of Dedekind sums involving the periodic Bernoulli function. ... More

Calculating Heegaard-Floer Homology by Counting Lattice Points in TetrahedraNov 21 2012Feb 21 2013We introduce a notion of complexity for Sefiert homology spheres by establishing a correspondence between lattice point counting in tethrahedra and the Heegaard-Floer homology. This complexity turns out to be equivalent to a version of Casson invariant ... More

Theory on quench-induced pattern formation: Application to the isotropic to smectic-A phase transitionsAug 02 1998During catastrophic processes of environmental variations of a thermodynamic system, such as rapid temperature decreasing, many novel and complex patterns often form. To understand such phenomena, a general mechanism is proposed based on the competition ... More

Bending and Twisting Elasticity: a Revised Marko-Siggia Model on DNA ChiralityMar 01 1998Mar 18 1998A revised Marko-Siggia elastic model for DNA double helix [Macromolecules 27, 981 (1994)] is proposed, which includes the WLC bending energy and a new chiral twisting energy term. It is predicted that the mean helical repeat length (HRL) for short DNA ... More

Ghost interference and diffraction based on the beam splitterJul 16 1997A simple scheme is proposed for observing the ghost interference and diffraction. The signal and the idler beams are produced by a beam splitter with the incident light being in a thermal state. A slit is inserted into the signal beam. We derive rigorously ... More

Disentanglement and Inseparability correlation : in two-qubit systemNov 14 1999Started from local universal isotropic disentanglement, a threshold inequality on reduction factors is proposed, which is necessary and sufficient for this type of disentanglement processes. Furthermore, we give the conditions realizing ideal disentanglement ... More

Special Embeddings of Symmetric Varieties and their Borel orbitsAug 12 2014Jun 15 2015We determine when an antiinvolution on a semisimple linear algebraic group $G$ extends to an antiinvolution on a J-irreducible monoid $M$ whose group of invertible elements is $G$. Using this information, we study a special class of compactifications ... More

The "Tunneling Two-Level Systems" Model of the Low-Temperature Properties of Glasses: Are "Smoking-Gun" Tests Possible?Oct 12 2013Following a brief review of the "two-level (tunneling) systems" model of the low-temperature properties of amorphous solids ("glasses"), we ask whether it is in fact the unique explanation of these properties as is usually assumed, concluding that this ... More

The New Fat Higgs: Slimmer and More AttractiveMay 26 2004May 19 2005In this paper we increase the MSSM tree level higgs mass bound to a value that is naturally larger than the LEP-II search constraint by adding to the superpotential a $\lambda S H_{u}H_{d}$ term, as in the NMSSM, and UV completing with new strong dynamics ... More

Polarization of Radiation in Multipole Jaynes-Cummings ModelMay 09 2001May 09 2001We discuss the spatial properties of quantum radiation emitted by a multipole transition in a single atom. The qualitative difference between the representations of plane and spherical waves of photons is examined. In particular, the spatial inhomogeneity ... More

Collective Field Theory for Quantum Hall StatesDec 30 2014Apr 24 2016We develop a collective field theory for fractional quantum Hall (FQH) states. We show that in the leading approximation for a large number of particles, the properties of Laughlin states are captured by a Gaussian free field theory with a (filling fraction ... More

Divisors and specializations of Lucas polynomialsJun 02 2014Sep 15 2014Three-term recurrences have infused stupendous amount of research in a broad spectrum of the sciences, such as orthogonal polynomials (in special functions) and lattice paths (in enumerative combinatorics). Among these are the Lucas polynomials, which ... More

Bruhat Order on Partial Fixed Point Free InvolutionsMar 04 2014May 05 2014The order complex of inclusion poset $PF_n$ of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that $PF_n$ is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of $PF_n$ ... More

Measuring Top Squark Interactions With The Standard Model Through Associated ProductionMay 06 2011May 24 2011A new particle's interactions can be measured at colliders, by observing its associated production with Standard Model particles. We focus on the case of a collider-stable right-handed top squark and study the LHC sensitivities to its couplings to the ... More

Returning Arrows for Self-injective Algebras and Artin-Schelter Regular AlgebrasDec 22 2010Feb 26 2012In this paper, we discuss returning arrows with respect to the Nakayama translation appearing in the quivers of some important algebras when we construct extensions. When constructing twisted trivial extensions for a graded self-injective algebra, we ... More

Unipotent Invariant MatricesOct 11 2010Feb 24 2013We describe the variety of fixed points of a unipotent operator acting on the space of matrices. We compute the determinant and the rank of a generic (symmetric, or anti-symmetric) matrix in the fixed variety, yielding information about the generic singular ... More

Vectorlike Confinement at the LHCJun 02 2009Sep 07 2010We argue for the plausibility of a broad class of vectorlike confining gauge theories at the TeV scale which interact with the Standard Model predominantly via gauge interactions. These theories have a rich phenomenology at the LHC if confinement occurs ... More

Periodic Schur Process, Cylindric Partitions and N=2* TheoryMar 05 2009Nov 02 2010Type IIA string theory compactified on an elliptic CY3-fold gives rise to N=2 U(1) gauge theory with an adjoint hypermultiplet. We study the refined open and closed topological string partition functions of this geometry using the refined topological ... More

Searching for Multijet Resonances at the LHCOct 30 2008Apr 30 2009Recently it was shown that there is a class of models in which colored vector and scalar resonances can be copiously produced at the Tevatron with decays to multijet final states, consistent with all experimental constraints and having strong discovery ... More

On the Existence of Angular Correlations in Decays with Heavy Matter PartnersMar 07 2007May 16 2007If heavy partners of the Standard Model matter fields are discovered at the LHC it will be imperative to determine their spin in order to uncover the underlying theory. In decay chains, both the spin and the mass hierarchy of all particles involved can ... More

Fast 3D Variable-FOV Reconstruction for Parallel Imaging with Localized SensitivitiesDec 01 2016Several successful iterative approaches have recently been proposed for parallel-imaging reconstructions of variable-density (VD) acquisitions, but they often induce substantial computational burden for non-Cartesian data. Here we propose a generalized ... More

Multi-Dimensional Phase Space Methods for Mass Measurements and Decay Topology DeterminationNov 29 2016Collider events with multi-stage cascade decays fill out the kinematically allowed region in phase space with a density that is enhanced at the boundary. The boundary encodes all available information about the spectrum and is well populated even with ... More

Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev modelsAug 20 2018Jan 09 2019We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge transport signatures of the unique non-Fermi liquid state ... More

On the approximation of weakly plurifinely plurisubharmonic functionsJan 25 2018In this note, we study the approximation of singular plurifinely plurisubharmonic function $u$ defined on a plurifinely domain $\Omega$. Under some conditions, we prove that $u$ can be approximated by an increasing sequence of plurisubharmonic functions ... More

Combinatorial Models for the Variety of Complete QuadricsOct 09 2016Nov 28 2017We develop several combinatorial models that are useful in the study of the $SL_n$-variety $\mathcal{X}$ of complete quadrics. Barred permutations parameterize the fixed points of the action of a maximal torus $T$ of $SL_n$, while $\mu$-involutions parameterize ... More

A Polynomial Approximation for Arbitrary FunctionsAug 02 2011Mar 12 2012We describe an expansion of Legendre polynomials, analogous to the Taylor expansion, to approximate arbitrary functions. We show that the polynomial coefficients in Legendre expansion, therefore the whole series, converge to zero much more rapidly compared ... More

Elliptic Virasoro Conformal BlocksNov 02 2015We study certain six dimensional theories arising on $(p,q)$ brane webs living on $\mathbb{R}\times S^1$. These brane webs are dual to toric elliptically fibered Calabi-Yau threefolds. The compactification of the space on which the brane web lives leads ... More

Combinatorial Models for the Variety of Complete QuadricsOct 09 2016We develop several combinatorial models that are useful in the study of the $SL_n$-variety $\mathcal{X}$ of complete quadrics. Barred permutations parameterize the fixed points of the action of a maximal torus $T$ of $SL_n$, while $\mu$-involutions parameterize ... More

Squeezing and entanglement in continous variable systemsJul 28 2003Based on total variance of a pair of Einstein-Podolsky-Rosen (EPR) type operators, the generalized EPR entangled states in continuous variable systems are defined. We show that such entangled states must correspond with two-mode squeezing states whether ... More

Quantum data hiding with spontaneous parameter down-conversionJan 17 2003Aug 20 2003Here we analyze the practical implication of the existing quantum data hiding protocol with Bell states produced with optical downconverter. We show that the uncertainty for the producing of the Bell states with spontaneous parameter down-conversion should ... More

Single- and multi-walled carbon nanotubes viewed as elastic tubes with Young's moduli dependent on layer numberDec 26 2001Nov 06 2002The complete energy expression of a deformed single-walled carbon nanotube (SWNT) is derived in the continuum limit from the local density approximation model proposed by Lenosky {\it et al.} \lbrack Nature (London) {\bf 355}, 333 (1992)\rbrack and shows ... More