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Ergodic Diffusion Control of Multiclass Multi-Pool Networks in the Halfin-Whitt RegimeMay 16 2015Aug 19 2015We consider Markovian multiclass multi-pool networks with heterogeneous server pools, each consisting of many statistically identical parallel servers, where the bipartite graph of customer classes and server pools forms a tree. Customers form their own ... More

Infinite Horizon Average Optimality of the N-network Queueing Model in the Halfin-Whitt RegimeFeb 10 2016Sep 30 2016We study the infinite horizon optimal control problem for N-network queueing systems, which consist of two customer classes and two server pools, under average (ergodic) criteria in the Halfin-Whitt regime. We consider three control objectives: 1) minimizing ... More

On uniform exponential ergodicity of Markovian multiclass many-server queues in the Halfin-Whitt regimeDec 09 2018May 10 2019We study ergodic properties of Markovian multiclass many-server queues which are uniform over scheduling policies, as well as the size n of the system. The system is heavily loaded in the Halfin-Whitt regime, and the scheduling policies are work-conserving ... More

Ergodicity of Lévy-driven SDEs arising from multiclass many-server queuesJul 30 2017Sep 21 2018We study the ergodic properties of a class of multidimensional piecewise Ornstein-Uhlenbeck processes with jumps, which contains the limit of the queueing processes arising in multiclass many-server queues with heavy-tailed arrivals and/or asymptotically ... More

Rate of convergence in Wasserstein distance of piecewise-linear Lévy-driven SDEsJul 10 2019In this paper, we study the rate of convergence under the Wasserstein metric of a broad class of multidimensional piecewise Ornstein-Uhlenbeck processes with jumps. These are governed by stochastic differential equations having a piecewise linear drift, ... More

Stationary Distributions and Convergence for M/M/1 Queues in Interactive Random EnvironmentFeb 11 2019We study a Markovian single-server queue in interactive random environments. The arrival and service rates of the queue depend on the environment, while the transition dynamics of the random environment depends on the queue length. We consider two types ... More

Uniform polynomial rates of convergence for a class of Lévy-driven controlled SDEs arising in multiclass many-server queuesJan 26 2019We study the ergodic properties of a class of controlled stochastic differential equations (SDEs) driven by $\alpha$-stable processes which arise as the limiting equations of multiclass queueing models in the Halfin-Whitt regime that have heavy-tailed ... More

Infinite horizon asymptotic average optimality for large-scale parallel server networksJun 13 2017Jan 23 2018We study infinite-horizon asymptotic average optimality for parallel server network with multiple classes of jobs and multiple server pools in the Halfin-Whitt regime. Three control formulations are considered: 1) minimizing the queueing and idleness ... More

Two-Parameter Heavy-Traffic Limits for Infinite-Server QueuesDec 04 2008Jul 09 2010In order to obtain Markov heavy-traffic approximations for infinite-server queues with general non-exponential service-time distributions and general arrival processes, possibly with time-varying arrival rates, we establish heavy-traffic limits for two-parameter ... More

Golden-rule capacity allocation for distributed delay management in peer-to-peer networksFeb 02 2014We describe a distributed framework for resources management in peer-to-peer networks leading to golden-rule reciprocity, a kind of one-versus-rest tit-for-tat, so that the delays experienced by any given peer's messages in the rest of the network are ... More

Infinite Horizon Average Optimality of the N-network Queueing Model in the Halfin-Whitt RegimeFeb 10 2016We study the infinite horizon optimal control problem for N-network queueing systems, which consist of two customer classes and two server pools, under average (ergodic) criteria in the Halfin-Whitt regime. We consider three control objectives: 1) minimizing ... More

Equivalence of Fluid Models for $G_t/GI/N+GI$ QueuesFeb 02 2015Four different fluid model formulations have been recently developed for $G_t/GI/N+GI$ queues, including a two-parameter fluid model in Whitt (2006) by tracking elapsed service and patience times of each customer, a measure-valued fluid model in Kang ... More

Ergodicity and fluctuations of a fluid particle driven by diffusions with jumpsFeb 16 2015In this paper, we study the long-time behavior of a fluid particle immersed in a turbulent fluid driven by a diffusion with jumps, that is, a Feller process associated with a non-local operator. We derive the law of large numbers and central limit theorem ... More

Equivalence of Fluid Models for $G_t/GI/N+GI$ QueuesFeb 02 2015Aug 28 2017Four different fluid model formulations have been recently developed for $G_t/GI/N+GI$ queues, including a two-parameter fluid model in Whitt (2006) by tracking elapsed service and patience times of each customer, a measure-valued fluid model in Kang ... More

Continuity of a queueing integral representation in the ${M}_{\mathbf{1}}$ topologyJan 14 2010We establish continuity of the integral representation $y(t)=x(t)+\int_0^th(y(s)) ds$, $t\ge0$, mapping a function $x$ into a function $y$ when the underlying function space $D$ is endowed with the Skorohod $M_1$ topology. We apply this integral representation ... More

Infinite Horizon Average Optimality of the N-network Queueing Model in the Halfin-Whitt RegimeFeb 10 2016Aug 28 2017We study the infinite horizon optimal control problem for N-network queueing systems, which consist of two customer classes and two server pools, under average (ergodic) criteria in the Halfin-Whitt regime. We consider three control objectives: 1) minimizing ... More

A service system with on-demand agent invitationsSep 25 2014Oct 23 2015We consider a service system where agents are invited on-demand. Customers arrive exogenously as a Poisson process and join a customer queue upon arrival if no agent is available. Agents decide to accept or decline invitations after some exponentially ... More

Martingale proofs of many-server heavy-traffic limits for Markovian queuesDec 27 2007This is an expository review paper illustrating the ``martingale method'' for proving many-server heavy-traffic stochastic-process limits for queueing models, supporting diffusion-process approximations. Careful treatment is given to an elementary model ... More

On uniform stability of certain parallel server networks with no abandonment in the Halfin-Whitt regimeJul 10 2019In this paper we show that a large class of parallel server networks, with $\sqrt n$-safety staffing, and no abandonment, in the Halfin-Whitt regime are exponentially ergodic and their invariant probability distributions are tight. This includes all networks ... More

On uniform exponential ergodicity of Markovian multiclass many-server queues in the Halfin-Whitt regimeDec 09 2018We study ergodic properties of Markovian multiclass many-server queues which are uniform over scheduling policies, as well as the size n of the system. The system is heavily loaded in the Halfin-Whitt regime, and the scheduling policies are work-conserving ... More

Ergodic control of multi-class $M/M/N+M$ queues in the Halfin-Whitt regimeApr 07 2014Oct 29 2015We study a dynamic scheduling problem for a multi-class queueing network with a large pool of statistically identical servers. The arrival processes are Poisson, and service times and patience times are assumed to be exponentially distributed and class ... More

Harder-Narasimhan Filtrations and K-Groups of an Elliptic CurveSep 02 2007Sep 10 2007Let $X$ be an elliptic curve over an algebraically closed field. We prove that some exact sub-categories of the category of vector bundles over $X$, defined using Harder-Narasimhan filtrations, have the same K-groups as the whole category.

Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energiesJan 21 2018Jan 20 2019In this paper, we firstly extend Theorem 5.1.1 in \cite {Helein} due to H\'elein to a rescaled branched conformal immersed sequence(c.f. Theorem 1.5). By virtue of this local convergence theorem, we study the blowup behavior of a sequence of branched ... More

On the Vertices of Indecomposable Modules Over Dihedral 2-GroupsSep 02 2007Sep 13 2007Let $k$ be an algebraically closed field of characteristic 2. We compute the vertices of all indecomposable $kD_8$-modules for the dihedral group $D_8$ of order 8. We also give a conjectural formula of the induced module of a string module from $kT_0$ ... More

Ergodic control of a class of jump diffusions with finite Lévy measures and rough kernelsJan 23 2018Jan 24 2018We study the ergodic control problem for a class of jump diffusions in $\mathbb{R}^d$, which are controlled through the drift with bounded controls. The Levy measure is finite, but has no particular structure; it can be anisotropic and singular. Moreover, ... More

Optimal control of Markov-modulated multiclass many-server queuesAug 13 2018We study multiclass many-server queues for which the arrival, service and abandonment rates are all modulated by a common finite-state Markov process. We assume that the system operates in the "averaged" Halfin-Whitt regime, which means that it is critically ... More

Using a Complex Optical Orbital-Angular-Momentum Spectrum to Measure Object Parameters: A Spatial Domain ApproachMay 25 2017Light beams can be characterized by their complex spatial profiles in both intensity and phase. Analogous to time signals, which can be decomposed into multiple orthogonal frequency functions, a light beam can also be decomposed into a set of spatial ... More

A Strong Formulation for Stochastic Multiple Constrained Resources Air Traffic Flow Management with ReroutesFeb 26 2019This paper addresses the air traffic flow management research problem of determining reroute, ground delay and air delay for flights using stochastic weather forecast information. The overall goal is to minimize system-wide reroute and delay costs. This ... More

Multi-stream 3D FCN with Multi-scale Deep Supervision for Multi-modality Isointense Infant Brain MR Image SegmentationNov 28 2017Mar 09 2019We present a method to address the challenging problem of segmentation of multi-modality isointense infant brain MR images into white matter (WM), gray matter (GM), and cerebrospinal fluid (CSF). Our method is based on context-guided, multi-stream fully ... More

Permutation-like Matrix Groups with a Maximal Cycle of Power of Odd Prime LengthJan 07 2015May 09 2015If every element of a matrix group is similar to a permutation matrix, then it is called a permutation-like matrix group. References [4] and [5] showed that, if a permutation-like matrix group contains a maximal cycle of length equal to a prime or a square ... More

A Strong Formulation for Stochastic Multiple Constrained Resources Air Traffic Flow Management with ReroutesFeb 26 2019Mar 10 2019This paper addresses the air traffic flow management research problem of determining reroute, ground delay and air delay for flights using stochastic weather forecast information. The overall goal is to minimize system-wide reroute and delay costs. This ... More

Feedback Capacity over NetworksJan 11 2017Jan 10 2018In this paper, we investigate the fundamental limitations of feedback mechanism in dealing with uncertainties for network systems. The study of maximum capability of feedback control was pioneered in Xie and Guo (2000) for scalar systems with nonparametric ... More

Kuelshammer ideals and the scalar problem for blocks with dihedral defect groupsSep 08 2008In by now classical work, K. Erdmann classified blocks of finite groups with dihedral defect groups (and more generally algebras of dihedral type) up to Morita equivalence. In the explicit description by quivers and relations of such algebras with two ... More

Numerical approximations of the Cahn-Hilliard and Allen-Cahn Equations with general nonlinear potential using the Invariant Energy Quadratization approachDec 07 2017In this paper, we carry out stability and error analyses for two first-order, semi-discrete time stepping schemes, which are based on the newly developed Invariant Energy Quadratization approach, for solving the well-known Cahn-Hilliard and Allen-Cahn ... More

A Geometric Interpretation of the Normal Closure of the Braid Group $B_n$ in the braid group of the torus $B_n(T)$Jun 20 2018Jan 24 2019Combining the results by Birman and Goldberg, it was proved the normal closure of the pure braid group of the disk $P_n(D)$ in the pure braid group of the torus $P_n(T)$ is the commutator subgroup $[P_n(T),P_n(T)]$. In this paper we are going to study ... More

Nonlinear Stability of Planar Vortex Patches in Bounded DomainsJun 30 2017We prove nonlinear stability of planar vortex patches concentrating at a strict local minimum point of the Robin function in a bounded domain. These vortex patches are stationary solutions of the 2-D incompressible Euler equations. This is achieved by ... More

Permutation-like Matrix Groups with a Maximal Cycle of Prime Square LengthNov 26 2013A matrix group is said to be permutation-like if any matrix of the group is similar to a permutation matrix. G. Cigler proved that, if a permutation-like matrix group contains a normal cyclic subgroup which is generated by a maximal cycle and the matrix ... More

Brief Note on AMD Conserved Quantities in Quadratic Curvature TheoriesJan 22 2011Apr 12 2011Motivated by the recent work on critical gravity theories in dimensions D>3, we reexamine the results in [arXiv:hep-th/0501044], where the conformal mass definition of Ashtekar, Magnon and Das (AMD) for asymptotically AdS space-times was generalized to ... More

One-Loop Divergences in 6D Conformal GravityAug 04 2012Oct 17 2012Using Exact Renormalization Group Equation approach and background field method, we investigate the one-loop problem in a six-dimensional conformal gravity theory whose Lagrangian takes the same form as holographic Weyl anomaly of multiple coincident ... More

Transverse momentum broadening of heavy quark and gluon energy loss in Sakai-Sugimoto modelMay 27 2008Oct 12 2008In this paper, we calculate the transverse momentum diffusion coefficient kappa_T of heavy quark and gluon penetration length in the deconfinement phase of Sakai-Sugimoto model, which is known as a holographic dual of large N_c QCD. We find that for the ... More

Verdier quotients of homotopy categoriesNov 15 2017May 29 2018We study Verdier quotients of diverse homotopy categories of a full additive subcategory $\mathcal E$ of an abelian category. In particular, we consider the categories $K^{x,y}({\mathcal E})$ for $x\in\{\infty, +,-,b\}$, and $y\in\{\emptyset,b,+,-,\infty\}$ ... More

Auslander-Reiten conjecture for symmetric algebras of polynomial growthMay 07 2010This paper studies self-injective algebras of polynomial growth. We prove that the derived equivalence classification of weakly symmetric algebras of domestic type coincides with the classification up to stable equivalences (of Morita type). As for weakly ... More

Classifying tame blocks and related algebras up to stable equivalences of Morita typeMay 03 2010We contribute to the classification of finite dimensional algebras under stable equivalence of Morita type. More precisely we give a classification of the class of Erdmann's algebras of dihedral, semi-dihedral and quaternion type and obtain as byproduct ... More

Gerstenhaber brackets on Hochschild cohomology of quantum symmetric algebras and their group extensionsMay 21 2014We construct chain maps between the bar and Koszul resolutions for a quantum symmetric algebra (skew polynomial ring). This construction uses a recursive technique involving explicit formulae for contracting homotopies. We use these chain maps to compute ... More

Permutation-like Matrix Groups with a Maximal Cycle of Length Power of TwoMar 27 2016If every element of a matrix group is similar to a permutation matrix, then it is called a permutation-like matrix group. References [4], [5] and [6] showed that, if a permutation-like matrix group contains a maximal cycle such that the maximal cycle ... More

Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebraMay 14 2014May 21 2014We realize explicitly the well-known additive decomposition of the Hochschild cohomology ring of a group algebra in the elements level. As a result, we describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket in the Hochschild cohomology ... More

Finite-time and Asymptotic Convergence of Distributed Averaging and Maximizing AlgorithmsMay 08 2012Sep 05 2012In this paper, we formulate and investigate a generalized consensus algorithm which makes an attempt to unify distributed averaging and maximizing algorithms considered in the literature. Each node iteratively updates its state as a time-varying weighted ... More

Multi-agent Robust Consensus: Convergence Analysis and ApplicationAug 16 2011Feb 28 2012The paper investigates consensus problem for continuous-time multi-agent systems with time-varying communication graphs subject to process noises. Borrowing the ideas from input-to-state stability (ISS) and integral input-to-state stability (iISS), robust ... More

Clustering and relative velocities of heavy particles under gravitational settling in isotropic turbulent flowsJul 27 2015Spatial clustering and intermittency in the relative velocity of heavy particles of the same size settling in turbulent flows can be strongly affected by gravity. We present a model for the timescale of the fluid velocity gradient seen by particle pairs ... More

Approximate Capacity Region of the MAC-IC-MACApr 08 2016An approximate capacity region is established of a class of interfering multiple access channels consisting of two multiple-access channels (MACs), each with an arbitrary number of users, with interference from one of the transmitters of one MAC to the ... More

Quantifying Location SocialityApr 01 2016The emergence of location-based social networks provides an unprecedented chance to study the interaction between human mobility and social relations. In this work, we focus on quantifying whether a location is suitable for conducting social activities, ... More

Corner contributions to holographic entanglement entropy in non-conformal backgroundsJun 26 2015Aug 30 2015We study corner contributions to holographic entanglement entropy in non-conformal backgrounds: a kink for D2-branes as well as a cone and two different types of crease for D4-branes. Unlike 2+1-dimensional CFTs, the corner contribution to the holographic ... More

Proceedings Third International Workshop on Engineering Safety and Security SystemsMay 03 2014The International Workshop on Engineering Safety and Security Systems (ESSS) aims at contributing to the challenge of constructing reliable and secure systems. The workshop covers areas such as formal specification, type checking, model checking, program ... More

Frame Dependence of Parton Cascade ResultsNov 06 1996Frame dependence of parton cascade results is studied for different schemes of doing cascade simulations. We show that different schemes do not always agree and results may have strong frame dependence. When the interaction range is on the order of mean ... More

Improved analysis of algorithms based on supporting halfspaces and quadratic programming for the convex intersection and feasibility problemsJun 16 2014This paper improves the algorithms based on supporting halfspaces and quadratic programming for convex set intersection problems in our earlier paper in several directions. First, we give conditions so that much smaller quadratic programs (QPs) and approximate ... More

Conductivity and Diffusion Constant in Lifshitz BackgroundsDec 12 2009Jan 28 2010We study the DC conductivity and the diffusion constant for asymptotically Lifshitz black branes in $(d+2)$- dimensions with arbitrary dynamical exponent $z$. For a solvable example with $z=2, d=4$, we calculate the real-time correlation functions, from ... More

Card-Shuffling via Convolutions of Projections on Combinatorial Hopf AlgebrasMar 28 2015Recently, Diaconis, Ram and I created Markov chains out of the coproduct-then-product operator on combinatorial Hopf algebras. These chains model the breaking and recombining of combinatorial objects. Our motivating example was the riffle-shuffling of ... More

Linear convergence of distributed Dykstra's algorithm for sets under an intersection propertyDec 10 2018We show the linear convergence of Dykstra's algorithm for sets intersecting in a manner slightly stronger than the usual constraint qualifications.

Quantum interactions between a laser interferometer and gravitational wavesAug 28 2018LIGO's detection of gravitational waves marks a first step in measurable effects of general relativity on quantum matter. In its current operation, laser interferometer gravitational-wave detectors are already quantum limited at high frequencies, and ... More

DeepCity: A Feature Learning Framework for Mining Location Check-insOct 12 2016Online social networks being extended to geographical space has resulted in large amount of user check-in data. Understanding check-ins can help to build appealing applications, such as location recommendation. In this paper, we propose DeepCity, a feature ... More

On Probabilistic Alternating SimulationsMar 03 2010This paper presents simulation-based relations for probabilistic game structures. The first relation is called probabilistic alternating simulation, and the second called probabilistic alternating forward simulation, following the naming convention of ... More

A Trouble with Hořava-Lifshitz GravityMay 17 2009Aug 07 2009We study the structure of the phase space in Ho\v{r}ava-Lifshitz theory. With the constraints derived from the action, the phase space is described by five fields, thus there is a lack of canonical structure. The Poisson brackets of the Hamiltonian density ... More

From N M2's to N D2'sJul 09 2008May 06 2009In this short note, we reduce the N=6, U(N)xU(N) Chern-Simons gauge theories to N=8, U(N) Yang-Mills gauge theories. This process corresponds to recovering the world-volume theory of N D2-branes from that of N M2-branes in an intermediate energy range. ... More

Stochastic Solution of Elliptic and Parabolic Boundary Value Problems for the Spectral Fractional LaplacianDec 04 2018We prove and implement stochastic solution (or Feynman-Kac) formulas for boundary value problems involving the spectral fractional Laplacian with nonzero Dirichlet boundary condition. The main tools used in the proofs are the abstract Cauchy problem for ... More

Endoscopic classification of representations of quasi-split unitary groupsJun 05 2012Jun 22 2013In this paper we establish the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number ... More

The supporting halfspace- quadratic programming strategy for the dual of the best approximation problemJan 06 2016We consider the best approximation problem (BAP) of projecting a point onto the intersection of a number of convex sets. It is known that Dykstra's algorithm is alternating minimization on the dual problem. We extend Dykstra's algorithm so that it can ... More

Finitely convergent algorithm for nonconvex inequality problemsMay 28 2014Jul 31 2014We extend Fukushima's result on the finite convergence of an algorithm for the global convex feasibility problem to the local nonconvex case.

Convergence rate of distributed Dykstra's algorithm with sets defined as level sets of convex functionsSep 25 2018We investigate the convergence rate of the distributed Dykstra's algorithm when some of the sets are defined as the level sets of convex functions. We carry out numerical experiments to compare with the theoretical results obtained.

Accelerating the alternating projection algorithm for the case of affine subspaces using supporting hyperplanesJun 16 2014Jul 16 2014The von Neumann-Halperin method of alternating projections converges strongly to the projection of a given point onto the intersection of finitely many closed affine subspaces. We propose acceleration schemes making use of two ideas: Firstly, each projection ... More

Graph Laplacian Regularization for Inverse Imaging: Analysis in the Continuous DomainApr 27 2016Inverse imaging problems are inherently under-determined, and hence it is important to employ appropriate image priors for regularization. One recent popular prior---the graph Laplacian regularizer---assumes that the target pixel patch is smooth with ... More

Hopf Algebras and Markov ChainsDec 28 2014Dec 31 2014This thesis introduces a way to build Markov chains out of Hopf algebras. The transition matrix of a "Hopf-power Markov chain" is (the transpose of) the matrix of the coproduct-then-product operator on a combinatorial Hopf algebra with respect to a suitable ... More

Loading N-Dimensional Vector into Quantum Registers from Classical Memory with O(logN) StepsDec 08 2006Jun 04 2007Vector is the general format of input data of most algorithms. Designing unitary operation to load all information of vector into quantum registers of quantum CPU from classical memory is called quantum loading scheme (QLS). QLS assembles classical memory ... More

Improving the distance reduction step in the von Neumann algorithmAug 14 2014A known first order method to find a feasible solution to a conic problem is an adapted von Neumann algorithm. We improve the distance reduction step there by projecting onto the convex hull of previously generated points using a primal active set quadratic ... More

Entanglement thermodynamics for non-conformal D-branesOct 14 2013Nov 23 2013We study thermodynamics of entanglement entropy for weakly excited states in certain non-conformal fields theories, whose gravity duals are given by non-conformal Dp-branes. We observe that the entanglement entropy of a sufficiently small system in non-conformal ... More

A Note on Black Holes in Asymptotically Lifshitz SpacetimeMay 16 2009Nov 14 2009We investigate several aspects of exact black hole solutions in asymptotically Lifshitz spacetime, which were proposed in 0812.0530. Firstly, we calculate the tidal forces and find that in the near horizon region of such black hole backgrounds, the tidal ... More

A dual ascent algorithm for asynchronous distributed optimization with unreliable directed communicationsSep 25 2018We show that the averaged consensus algorithm on directed graphs with unreliable communications by Bof-Carli-Schenato has a dual interpretation, which could be extended to the case of distributed optimization. We report on our numerical simulations for ... More

Seeing stars: Exploiting class relationships for sentiment categorization with respect to rating scalesJun 17 2005We address the rating-inference problem, wherein rather than simply decide whether a review is "thumbs up" or "thumbs down", as in previous sentiment analysis work, one must determine an author's evaluation with respect to a multi-point scale (e.g., one ... More

Location Prediction: Communities Speak Louder than FriendsAug 06 2014Apr 01 2016Humans are social animals, they interact with different communities of friends to conduct different activities. The literature shows that human mobility is constrained by their social relations. In this paper, we investigate the social impact of a person's ... More

On age-specific selection and extensive lifespan beyond menopauseMay 08 2019Extensive post reproductive lifespan (PRLS) is observed only in a few species, such as humans or resident killer whales, and its origin is under debate. Hypotheses like mother-care and grandmother-care invoke strategies of investment--provision to one's ... More

$R^n$ Extension of Starobinsky Model in Old Minimal SupergravityFeb 21 2014Oct 08 2014We provide a succinct way to construct the supersymmetric completion of $R^n$ $(n\ge3)$ in components using superconformal formulation of old minimal supergravity. As a consequence, we obtain the polynomial $f(R)$ supergravity extending the supersymmetric ... More

All Off-Shell R^2 Invariants in Five Dimensional N=2 SupergravityJun 06 2013Aug 14 2013We construct supersymmetric completions of various curvature squared terms in five dimensional supergravity with eight supercharges. Adopting the dilaton Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar squared as well as all ... More

Seven-Dimensional Gravity with Topological TermsDec 30 2009Apr 16 2010We construct new seven-dimensional gravity by adding two topological terms to the Einstein-Hilbert action. For certain choice of the coupling constants, these terms may be related to the R^4 correction to the 3-form field equation of eleven-dimensional ... More

Comparison of mixed quantum statesMar 26 2010Sep 07 2011In this article, we study the problem of comparing mixed quantum states: given $n$ unknown mixed quantum states, can one determine whether they are identical or not with an unambiguous quantum measurement? We first study universal comparison of mixed ... More

Optimum Unambiguous Discrimination of Linearly Independent Pure StatesJun 16 2009Nov 30 2009Given $n$ linearly independent pure states and their prior probabilities, we study the problem of optimum unambiguous discrimination of these states. We derive the properties of the optimum solution and the equations that must be satisfied by the optimum ... More

On age-specific selection and extensive lifespan beyond menopauseMay 08 2019May 18 2019Extensive post reproductive lifespan (PRLS) is observed only in a few species, such as humans or resident killer whales, and its origin is under debate. Hypotheses like mother-care and grandmother-care invoke strategies of investment--provision to one's ... More

Semiparametric Estimation for Cure Survival Model with Left-Truncated and Right-Censored Data and Covariate Measurement ErrorDec 28 2018In this paper, we mainly discuss the cure model with survival data. Different from the usual survival data with right-censoring, we incorporate the features of left-truncation and measurement error in covariates. Generally speaking, left-truncation causes ... More

Uniqueness of viscosity solutions of a geometric fully nonlinear parabolic equationMay 24 2009We observe that the comparison result of Barles-Biton-Ley for viscosity solutions of a class of nonlinear parabolic equations can be applied to a geometric fully nonlinear parabolic equation which arises from the graphic solutions for the Lagrangian mean ... More

First order dependence on uncertainty sets in robust optimizationJun 09 2010We show that a first order problem can approximate solutions of a robust optimization problem when the uncertainty set is scaled, and explore further properties of this first order problem.

Set intersection problems: Supporting hyperplanes and quadratic programmingDec 31 2012We study how the supporting hyperplanes produced by the projection process can complement the method of alternating projections and its variants for the convex set intersection problem. For the problem of finding the closest point in the intersection ... More

A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groupsAug 11 2016Oct 25 2016We show that the cuspidal component of the stable trace formula of a special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the $r$-stable trace formula, when $r$ is the standard or the ... More

On holographic entanglement entropy of non-local field theoriesApr 22 2014Jun 05 2014We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature backgrounds and ... More

Probing holographic semi-local quantum liquids with D-branesJun 17 2013Aug 10 2013We study dynamics of probe D-branes in $(d+2)$-dimensional background with general semi-locality. The background is characterized by a parameter $\eta$ and is conformal to $AdS_{2}\times\mathbb{R}^{d}$. We discuss thermodynamics of the probe D-branes ... More

A Hopf-Algebraic Lift of the Down-Up Markov Chain on Partitions to PermutationsAug 06 2015In "Card shuffling and the decomposition of tensor products", Jason Fulman explores a Markov chain on partition diagrams, where each step removes a box then adds a new box. The stationary distribution of this chain is the Plancherel measure, which suggests ... More

Graph Laplacian Regularization for Image Denoising: Analysis in the Continuous DomainApr 27 2016Aug 30 2017Inverse imaging problems are inherently under-determined, and hence it is important to employ appropriate image priors for regularization. One recent popular prior---the graph Laplacian regularizer---assumes that the target pixel patch is smooth with ... More

Quantifying Location SocialityApr 01 2016Sep 04 2017The emergence of location-based social networks provides an unprecedented chance to study the interaction between human mobility and social relations. This work is a step towards quantifying whether a location is suitable for conducting social activities, ... More

Ferromagnetism in the Infinite-U Hubbard ModelApr 04 1994Apr 05 1994We have studied the stability of the ferromagnetic state in the infinite-U Hubbard model on a square lattice by approximate diagonalization of finite lattices using the density matrix renormalization group technique. By studying lattices with up to 5X20 ... More

Competition between phase coherence and correlation in a mixture of Bose-Einstein condensatesAug 29 2003Two-species hard-core bosons trapped in a three-dimensional isotropic harmonic potential are studied with the path-integral quantum Monte Carlo simulation. The double condensates show two distinct structures depending on how the external potentials are ... More

Evidence for the Holographic dual of ${\cal N}=3$ Solution in Massive Type IIANov 25 2015Mar 29 2016We calculate the Kaluza-Klein spectrum of spin-2 fluctuations around the ${\cal N}=3$ warped ${\rm AdS}_4\times M_6$ solution in massive IIA supergravity. This solution was conjectured to be dual to the $D=3$ ${\cal N}=3$ superconformal ${\rm SU}(N)$ ... More

An ${\cal N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIAAug 21 2015Oct 16 2015We consider a certain ${\cal N}=1$ supersymmetric, SO(3)$\times$SO(3) invariant, subsector of the dyonic ISO(7)-gauged maximal supergravity in four-dimensions. The theory contains two scalar fields and two pseudoscalar fields. We look for stationary points ... More

Nonconvex set intersection problems: From projection methods to the Newton method for super-regular setsJun 27 2015The problem of finding a point in the intersection of closed sets can be solved by the method of alternating projections and its variants. It was shown in earlier papers that for convex sets, the strategy of using quadratic programming (QP) to project ... More