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Creation of User Friendly Datasets: Insights from a Case Study concerning Explanations of Loan DenialsJun 11 2019Most explainable AI (XAI) techniques are concerned with the design of algorithms to explain the AI's decision. However, the data that is used to train these algorithms may contain features that are often incomprehensible to an end-user even with the best ... More

Crowdsourcing in the Absence of Ground Truth -- A Case StudyJun 17 2019Crowdsourcing information constitutes an important aspect of human-in-the-loop learning for researchers across multiple disciplines such as AI, HCI, and social science. While using crowdsourced data for subjective tasks is not new, eliciting useful insights ... More

Generating User-friendly Explanations for Loan Denials using GANsJun 24 2019Financial decisions impact our lives, and thus everyone from the regulator to the consumer is interested in fair, sound, and explainable decisions. There is increasing competitive desire and regulatory incentive to deploy AI mindfully within financial ... More

Automated Postediting of DocumentsJul 29 1994Large amounts of low- to medium-quality English texts are now being produced by machine translation (MT) systems, optical character readers (OCR), and non-native speakers of English. Most of this text must be postedited by hand before it sees the light ... More

Measuring and Predicting Speed of Social MobilizationMar 15 2013Oct 17 2013Large-scale mobilization of individuals across social networks is becoming increasingly influential in society. However, little is known about what traits of recruiters and recruits and affect the speed at which one mobilizes the other. Here we identify ... More

Complexity Analysis of Reversible Logic SynthesisFeb 03 2014Jun 24 2014Reversible logic circuit is a necessary construction for achieving ultra low power dissipation as well as for prominent post-CMOS computing technologies such as Quantum computing. Consequently automatic synthesis of a Boolean function using elementary ... More

Supersymmetric Yang Mills Fields and Black Holes ; In Ten Dimensional Unified Field TheoryMay 17 2007The Ten dimensional Unified field theory has a 4 dimensional Riemannian spacetime and six dimensional Calabi Yau space structure. The supersymmetric Yang Mills fields and black holes are solutions in these theories. The formation of primordial black holes ... More

Bose Fermi Supersymmetry with Bogoliubov transforms in CosmologyNov 04 2006Field theory including Supersymmetry and Bose Fermi Symmetry is an active subject of particle physics and cosmology. Recent and expected observational evidence gives indicators for the creation and destruction of normal and supersymmetric dark matter ... More

Unified Gauge Field Theory and Topological TransitionsJun 04 2004The search for a Unified description of all interactions has created many developments of mathematics and physics. The role of geometric effects in the Quantum Theory of particles and fields and spacetime has been an active topic of research. This paper ... More

On the Behaviour of the Backward Interpretation of Feynman-Kac Formulae under Verifiable ConditionsDec 19 2013In the following article we consider the time-stability associated to the sequential Monte Carlo (SMC) estimate of the backward interpretation of Feynman-Kac Formulae. This is particularly of interest in the context of performing smoothing for hidden ... More

Kinetic Self-Assembly of Metals on Co-polymer TemplatesAug 16 2003In this work we seek to understand some of the fundamental processes that govern self-assembly at the nanoscale in the context of the formation of metallic structures on patterned co-polymer templates. To this end we focus on the experiments conducted ... More

Statistical Physics and Dynamical Systems: Models of Phase TransitionsNov 04 2007This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many physically interesting ... More

Statistical Mechanics of Dynamical Systems With Topological Phase TransitionsNov 09 2005Dynamical system properties give rise to effects in Statistical Mechanics. Topological index changes can be the basis for phase transitions. The Euler characteristic is a versatile topological invariant that can be evaluated for model systems. These recent ... More

Partition Functions for Statistical Mechanics With MicroPartitions and Phase TransitionsNov 07 2004The fundamentals of Statistical Mechanics require a fresh definition in the context of the developments in Classical Mechanics of integrable and chaotic systems. This is done with the introduction of Micro Partitions ; a union of disjoint components in ... More

Quantisation on general spacesNov 08 2002Quantisation on spaces with properties of curvature, multiple connectedness and non orientablility is obtained. The geodesic length spectrum for the Laplacian operator is extended to solve the Schroedinger operator. Homotopy fundamental group representations ... More

Non commutative quantum spacetime with topological vortex states, and dark matter in the universeOct 31 2003Non commutative geometry is creating new possibilities for physics. Quantum spacetime geometry and post inflationary models of the universe with matter creation have an enormous range of scales of time, distance and energy in between. There is a variety ... More

Testing the equality of error distributions from k independent GARCH modelsDec 04 2008In this paper we study the problem of testing the null hypothesis that errors from k independent parametrically specified generalized autoregressive conditional heteroskedasticity (GARCH) models have the same distribution versus a general alternative. ... More

Efficiency and influence function of estimators for ARCH modelsDec 04 2008This paper proposes a closed-form optimal estimator based on the theory of estimating functions for a class of linear ARCH models. The estimating function (EF) estimator has the advantage over the widely used maximum likelihood (ML) and quasi-maximum ... More

Statistical Physics of Dark and Normal Matter Distribution in Galaxy Formation : Dark Matter Lumps and Black Holes in Core and Halo of GalaxyMay 15 2008In unified field theory the cosmological model of the universe has supersymmetric fields. Supersymmetric particles as dark and normal matter in galaxy clusters have a phase separation. Dark matter in halos have a statistical physics equation of state. ... More

Guaranteed sensor coverage with the weighted-$D^2$ samplingNov 30 2014In this paper we focus on the mobile sensor coverage problem formulated as a continuous locational optimization problem. Cort\`es et al. first proposed a distributed version of the Lloyd descent algorithm with guaranteed convergence to a local optima. ... More

Measurement of Electroweak Vector Boson Pair Production in pp Collision with the CMS Detector at LHCSep 11 2014We present an overview of measurements of electroweak vector boson pair production and anomalous Triple Gauge Couplings (aTGC), with semileptonic and fully leptonic final states. The data analyzed were taken at center of mass energy of 7 & 8 TeV by the ... More

Particle and Field Symmetries and Noncommutative GeometryMay 24 2003The development of Noncommutative Geometry is creating a reworking and new possibilities in physics. This paper identifies some of the commutation and derivation structures that arise in particle and field interactions and fundamental symmetries. The ... More

Quantum and Classical Phase Space: Separability and EntanglementNov 08 2002The formalism of classical and quantum mechanics on phase space leads to symplectic and Heisenberg group representations, respectively. The Wigner functions give a representation of the quantum system using classical variables. The correspondence between ... More

Approximate Bayesian Computation for a Class of Time Series ModelsJan 01 2014In the following article we consider approximate Bayesian computation (ABC) for certain classes of time series models. In particular, we focus upon scenarios where the likelihoods of the observations and parameter are intractable, by which we mean that ... More

Scaling Exponent for Coarsening in a 1D q-state systemNov 05 2001Nov 12 2001An exponent $\beta$ which characterises non-equilibrium coarsening processes is calculated in a deterministic solvable model of coarsening for a 1D q-state Potts system. We study how the fraction of sites P which have never changed their state, scale ... More

Fundamental Field Theory in Ten Dimensions and The Early UniverseJun 09 2006A unified field theory in ten dimensions, of all interactions, can describe high energy processes occuring in the early universe. In such a theory transitions that give properties of the universe can occur due to the presence of algebraic and geometric ... More

Blockchain Meets Database: Design and Implementation of a Blockchain Relational DatabaseMar 05 2019In this paper, we design and implement the first-ever decentralized replicated relational database with blockchain properties that we term blockchain relational database. We highlight several similarities between features provided by blockchain platforms ... More

Blockchain Meets Database: Design and Implementation of a Blockchain Relational DatabaseMar 05 2019May 31 2019In this paper, we design and implement the first-ever decentralized replicated relational database with blockchain properties that we term blockchain relational database. We highlight several similarities between features provided by blockchain platforms ... More

$λ$-tensor product of operator spacesApr 11 2015We propose a theory of $\lambda$-tensor product of operator spaces which extends the theory of Blecher-Paulsen and Effros-Ruan for the operator space projective tensor product \cite{blecp}, \cite{effros}, \cite{eff} and that of Rajpal-Kumar-Itoh for the ... More

Predictive Modeling of Opinion and Connectivity Dynamics in Social NetworksMar 27 2016Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of the dynamics ... More

On the nonexistence of certain morphisms from Grassmannian to Grassmannian in characteristic 0Jan 10 2005Jan 29 2007Here, we utilize facts about the big Chern classes discovered by M. Kapranov and independently by M. V. Nori to prove certain results about the nonexistence of certain morphisms from Grassmannian to Grassmannian in characteristic 0. In particular, we ... More

Twisting the Alive Particle FilterAug 21 2013This work focuses on sampling from hidden Markov models (Cappe et al, 2005) whose observations have intractable density functions. We develop a new sequential Monte Carlo (Doucet et al, 2000 and Gordon et al, 1993) algorithm and a new particle marginal ... More

Parameterized Principal Component AnalysisAug 16 2016When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by yaw rotation, and one would expect a left profile ... More

On Phases of Generic Toric SingularitiesJun 12 2007We systematically study the phases of generic toric singularities, using methods initiated in hep-th/0612046. These correspond to Gauged Linear Sigma Models with arbitrary charges. We show that complete information about generic $U(1)^r$ GLSMs can be ... More

The Glauber model and heavy ion reaction and elastic scattering cross sectionsFeb 24 2017We revisit the Glauber model to study the heavy ion reaction cross sections and elastic scattering angular distributions at low and intermediate energies. The Glauber model takes nucleon-nucleon cross sections and nuclear densities as inputs and has no ... More

Universality class of the nonequilibrium phase transition in two dimensional Ising ferromagnet driven by propagating magnetic field waveMay 07 2018Mar 10 2019The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium dynamicphase ... More

The relative Riemann-Roch theorem from Hochschild homologyMar 06 2006Apr 06 2007This write up attempts to clarify a preprint by Markarian [2] which proves This paper attempts to clarify a preprint of Markarian [2]. The preprint by Markarian [2] proves the relative Riemann-Roch theorem using a result describing how the HKR map fails ... More

Uncertainty principles on nilpotent Lie groupsJan 07 2019Hardy's type uncertainty principle on connected nilpotent Lie groups for the Fourier transform is proved. An analogue of Hardy's theorem for Gabor transform has been established for connected and simply connected nilpotent Lie groups. Finally Beurling's ... More

Spectral synthesis for operator space projective tensor product of $C^*$-algebrasAug 16 2011Oct 16 2011We study the spectral synthesis for the Banach *-algebra $A\oop B$, the operator space projective tensor product of $C^*$-algebras $A$ and $B$. It is shown that if $A$ or $B$ has finitely many closed ideals, then $A\oop B$ obeys spectral synthesis. The ... More

Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problemMay 18 2016Jul 24 2017Upon its inception the theory of regularity structures allowed for the treatment for many semilinear perturbations of the stochastic heat equation driven by space-time white noise. When the driving noise is non-Gaussian the machinery of theory can still ... More

A Deep Learning based Framework to Detect and Recognize Humans using Contactless Palmprints in the WildDec 29 2018Contactless and online palmprint identfication offers improved user convenience, hygiene, user-security and is highly desirable in a range of applications. This technical report details an accurate and generalizable deep learning-based framework to detect ... More

Interstellar Silicon Depletion and the Ultraviolet ExtinctionOct 11 2017Spinning small silicate grains were recently invoked to account for the Galactic foreground anomalous microwave emission. These grains, if present, will absorb starlight in the far ultraviolet (UV). There is also renewed interest in attributing the enigmatic ... More

Quantum corrections to screening at strong couplingApr 09 2012Apr 23 2012We compute a certain class of corrections to (specific) screening lengths in strongly coupled nonabelian plasmas using the AdS/CFT correspondence. In this holographic framework, these corrections arise from various higher curvature interactions modifying ... More

Stability of Thermohaline circulation with respect to fresh water releaseMay 15 2008May 16 2008The relatively warm climate found in the North- Western Europe is due to the gulf stream that circulates warm saline water from southern latitudes to Europe. In North Atlantic ocean the stream gives out a large amount of heat, cools down and sinks to ... More

Vicious walks with long-range interactionsMar 31 2010The asymptotic behaviour of the survival or reunion probability of vicious walks with short-range interactions is generally well studied. In many realistic processes, however, walks interact with a long ranged potential that decays in $d$ dimensions with ... More

Stochastic PDEs, Regularity Structures, and Interacting Particle SystemsAug 14 2015Jun 08 2016These lecture notes grew out of a series of lectures given by the second named author in short courses in Toulouse, Matsumoto, and Darmstadt. The main aim is to explain some aspects of the theory of "Regularity structures" developed recently by Hairer ... More

Hardy's Theorem for Gabor transformMar 09 2016We establish analogues of Hardy's theorem for Gabor transform on locally compact abelian groups, Euclidean motion group and several general classes of nilpotent Lie groups which include Heisenberg groups, thread-like nilpotent Lie groups, $2$-NPC nilpotent ... More

Metamorphosis of Fuzzy Regular Expressions to Fuzzy Automata using the Follow AutomataNov 11 2014Dec 01 2014To deal with system uncertainty, finite automata have been generalized into fuzzy automata. Stamenkovic and Ciric proposed an approach using the position automata for the construction of fuzzy automata from fuzzy regular expressions. There exist multifarious ... More

Arens regularity of projective tensor productsJan 09 2014Aug 26 2015For completely contractive Banach algebras $A$ and $B$ (respectively operator algebras $A$ and $B$), the necessary and sufficient conditions for the operator space projective tensor product $A\widehat{\otimes}B$ (respectively the Haagerup tensor product ... More

Nonequilibrium phase transition in spin-S Ising ferromagnet driven by Propagating and Standing magnetic field waveJul 14 2017Oct 13 2017The dynamical response of spin-S (S=1, 3/2, 2, 3) Ising ferromagnet to the plane propagating wave , standing magnetic field wave and uniformly oscillating field with constant frequency are studied separately in two dimensions by extensive Monte Carlo ... More

Random Matrix Application to Correlations Among Volatility of AssetsOct 06 2013In this paper, we apply tools from the random matrix theory (RMT) to estimates of correlations across volatility of various assets in the S&P 500. The volatility inputs are estimated by modeling price fluctuations as GARCH(1,1) process. The corresponding ... More

A variant of the Mukai pairing via deformation quantizationMar 28 2011We give a new method to prove a formula computing a variant of Caldararu's Mukai pairing \cite{Cal1}. Our method is based on some important results in the area of deformation quantization. In particular, part of the work of Kashiwara and Schapira in \cite{KS} ... More

Continuous abstract wavelet transform on homogeneous spaceJan 07 2019The support of wavelet transform associated with square integrable irreducible representation of a homogeneous space is shown to have infinite measure. Pointwise homogeneous approximation property for wavelet transform has been investigated. An analogue ... More

SSL EnhancementSep 17 2012With the development of e-commerce, ssl protocol is more and more widely applied to various network services. It is one of key technologies to keep user's data in secure transmission via internet. This document majorly focuses on "SSLStrip" which generates ... More

Multiplicity dependence of strangeness and hadronic resonance production in pp and p-Pb collisions with ALICE at the LHCJul 19 2018Jul 23 2018One of the key results of the LHC Run 1 was the observation of an enhanced production of strange particles in high multiplicity pp and p--Pb collisions at $\sqrt{s_\mathrm{NN}}$ = 7 and 5.02 TeV, respectively. The strangeness enhancement is investigated ... More

Comparative Investigation for Energy Consumption of Different Chipsets Based on Scheduling for Wireless Sensor NetworksSep 23 2010Rapid progress in microelectromechanical system (MEMS) and radio frequency (RF) design has enabled the development of low-power, inexpensive, and network-enabled microsensors. These sensor nodes are capable of capturing various physical information, such ... More

Multiple D2D Multicasts in Underlay Cellular NetworksAug 23 2019Sep 09 2019Multicasting for disseminating popular data is an interesting solution for improving the energy and spectral efficiencies of cellular networks. To improve the achievable performance of such networks, underlay device-to-device (D2D) multicast communication ... More

Projective Tensor Products of $C^*$-algebrasMay 03 2013For $C^*$-algebras $A$ and $B$, we study the bi-continuity of the canonical embedding of $A^{**}\ot_{\gamma} B^{**}$ ($A^{**}\hat{\ot} B^{**}$) into $(A \ot_{\gamma} B)^{**}$ (resp. $(A \hat{\ot} B)^{**}$), and its isomorphism. Ideal structure of $A\hat{\ot} ... More

Symmetry and quasi-centrality of operator space projective tensor productMay 08 2012For $C^{*}$-algebras $A$ and $B$, the operator space projective tensor product $A\hat{\otimes}B$ and the Banach space projective tensor product $A\otimes_{\gamma}B$ are shown to be symmetric. We also show that $A\hat{\otimes}B$ is weakly Wiener algebra. ... More

Stable representation homology and Koszul dualityApr 05 2013Feb 11 2014This paper is a sequel to [BKR], where we studied the derived affine scheme DRep_n(A) of the classical representation scheme Rep_n(A) for an associative k-algebra A. In [BKR], we have constructed canonical trace maps Tr_n(A): HC(A) -> H[DRep_n(A)]^GL ... More

A survey on sensing methods and feature extraction algorithms for SLAM problemMar 14 2013This paper is a survey work for a bigger project for designing a Visual SLAM robot to generate 3D dense map of an unknown unstructured environment. A lot of factors have to be considered while designing a SLAM robot. Sensing method of the SLAM robot should ... More

A generalized Hirzebruch Riemann-Roch theoremAug 24 2008This short note proves a generalization of the Hirzebruch Riemann-Roch theorem equivalent to the Cardy condition described in [1]. This is done using an earlier result [4] that explicitly describes what the Mukai pairing in [1] descends to in Hodge cohomology ... More

The Mukai pairing and integral transforms in Hochschild homologyMay 12 2008Jun 23 2008Let $X$ be a smooth proper scheme over a field of characteristic 0. Following D. Shklyarov [10], we construct a (non-degenerate) pairing on the Hochschild homology of $\per{X}$, and hence, on the Hochschild homology of $X$. On the other hand the Hochschild ... More

Active matter clusters at interfacesApr 04 2016Collective and directed motility or swarming is an emergent phenomenon displayed by many self-organized assemblies of active biological matter such as clusters of embryonic cells during tissue development, cancerous cells during tumor formation and metastasis, ... More

Qualitative uncertainty principle for Gabor transform on certain locally compact groupsMar 31 2017Classes of locally compact groups having qualitative uncertainty principle for Gabor transform have been investigated. These include Moore groups, Heisenberg Group $\mathbb{H}_n, \mathbb{H}_{n} \times D,$ where $D$ is discrete group and other low dimensional ... More

Biased Online Parameter Inference for State-Space ModelsMar 01 2015We consider Bayesian online static parameter estimation for state-space models. This is a very important problem, but is very computationally challenging as the state- of-the art methods that are exact, often have a computational cost that grows with ... More

Energy- and Spectral- Efficiency Tradeoff for D2D-Multicasts in Underlay Cellular NetworksDec 01 2017Dec 12 2017Underlay in-band device-to-device (D2D) multicast communication, where the same content is disseminated via direct links in a group, has the potential to improve the spectral and energy efficiencies of cellular networks. However, most of the existing ... More

Integration over complex manifolds via Hochschild homologyJul 31 2007Jun 05 2008Given a holomorphic vector bundle $\cale$ on a connected compact complex manifold X, [FLS] construct a $\compl$-linear functional $I_{\cale}$ on $\hh{2n}{\compl}$. This is done by constructing a linear functional on the 0-th completed Hochschild homology ... More

HT-Paxos: High Throughput State-Machine Replication Protocol for Large Clustered Data CentersJul 04 2014Paxos is a prominent theory of state machine replication. Recent data intensive Systems those implement state machine replication generally require high throughput. Earlier versions of Paxos as few of them are classical Paxos, fast Paxos and generalized ... More

Heisenberg Uncertainty Inequality for Gabor TransformJul 02 2015We discuss Heisenberg uncertainty inequality for groups of the form $K \ltimes \mathbb{R}^n$, $K$ is a separable unimodular locally compact group of type I. This inequality is also proved for Gabor transform for several classes of groups of the form $K ... More

The big Chern classes and the Chern characterDec 05 2005Jun 05 2008Let $X$ be a smooth scheme over a field of characteristic 0. Let $\dd^{\bullet}(X)$ be the complex of polydifferential operators on $X$ equipped with Hochschild co-boundary. Let $L(\dd^1(X))$ be the free Lie algebra generated over $\strc$ by $\dd^1(X)$ ... More

Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularityOct 22 2010Nov 22 2010We study Hochschild (co)homology groups of the Dunkl operator quantization of $\Z_2$-singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local algebraic index formula.

An Open Source P2P Encrypted VoIP ApplicationJul 01 2014Open source is the future of technology. This community is growing by the day; developing and improving existing frameworks and software for free. Open source replacements are coming up for almost all proprietary software nowadays. This paper proposes ... More

Probing the Role of Carbon in the Interstellar Ultraviolet ExtinctionJul 23 2015We probe the role of carbon in the ultraviolet (UV) extinction by examining the relations between the amount of carbon required to be locked up in dust [C/H]_dust with the 2175 Angstrom extinction bump and the far-UV extinction rise, based on an analysis ... More

Ideals in Operator Space Projective Tensor Product of $C^*$-algebrasJun 16 2011For $C^*$-algebras $A$ and $B$, we prove the slice map conjecture for ideals in the operator space projective tensor product $A \hat\otimes B$. As an application, a characterization of prime ideals in the Banach $\ast$-algebra $A\hat\otimes B$ is obtained. ... More

Cytoskeletal filament length controlled dynamic sequestering of intracellular cargoJul 15 2019The spatial localization or sequestering of motile cargo and their dispersal within cells is an important process in a number of physiological contexts. The morphology of the cytoskeletal network, along which active, motor-driven intracellular transport ... More

Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problemMay 18 2016Upon its inception the theory of regularity structures allowed for the treatment for many semilinear perturbations of the stochastic heat equation driven by space-time white noise. When the driving noise is non-Gaussian the machinery of theory can still ... More

Embeddings and $C^*$-envelopes of exact operator systemsMar 04 2016We prove a necessary and sufficient condition for embeddability of an operator system into $\mO_2$. Using Kirchberg's theorems on tensor product of $\mO_2$ and $\mO_{\infty}$, we establish results on their operator system counterparts $\mS_2$ and $\mS_{\infty}$. ... More

Marginal Likelihood Computation for Hidden Markov Models via Generalized Two-Filter SmoothingSep 02 2012In this note we introduce an estimate for the marginal likelihood associated to hidden Markov models (HMMs) using sequential Monte Carlo (SMC) approximations of the generalized two-filter smoothing decomposition (Briers, 2010). This estimate is shown ... More

Vicious Lévy flightsJul 12 2010We study the statistics of encounters of L\'evy flights by introducing the concept of vicious L\'evy flights - distinct groups of walkers performing independent L\'evy flights with the process terminating upon the first encounter between walkers of different ... More

Nuclearity properties and $C^*$-envelopes of operator system inductive limitsDec 05 2016We study the relationship between $C^*$-envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operator systems are also discussed.

Universality class of the nonequilibrium phase transition in two dimensional Ising ferromagnet driven by propagating magnetic field waveMay 07 2018The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium dynamicphase ... More

Parameterized Principal Component AnalysisAug 16 2016May 02 2017When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the face of a 40 year ... More

Bayesian Parameter Inference for Partially Observed Stopped ProcessesJan 18 2012In this article we consider Bayesian parameter inference associated to partially-observed stochastic processes that start from a set B0 and are stopped or killed at the first hitting time of a known set A. Such processes occur naturally within the context ... More

D2D Multicast in Underlay Cellular Networks with Exclusion ZonesMay 01 2019Underlay device-to-device (D2D) multicast communication has potential to improve performance of cellular networks. However, co-channel interference among cellular users (CUs) and D2D multicast groups (MGs) limits the gains of such communication. Allowing ... More

An analytic BPHZ theorem for regularity structuresDec 24 2016Jan 22 2018We prove a general theorem on the stochastic convergence of appropriately renormalized models arising from nonlinear stochastic PDEs. The theory of regularity structures gives a fairly automated framework for studying these problems but previous works ... More

Stochastic PDEs, Regularity Structures, and Interacting Particle SystemsAug 14 2015Jul 11 2017These lecture notes grew out of a series of lectures given by the second named author in short courses in Toulouse, Matsumoto, and Darmstadt. The main aim is to explain some aspects of the theory of "Regularity structures" developed recently by Hairer ... More

Dynamics of membranes driven by actin polymerizationMar 04 2005A motile cell, when stimulated, shows a dramatic increase in the activity of its membrane, manifested by the appearance of dynamic membrane structures such as lamellipodia, filopodia and membrane ruffles. The external stimulus turns on membrane bound ... More

Blume-Capel ferromagnet driven by propagating and standing magnetic field wave: Dynamical modes and nonequilibrium phase transitionJun 27 2016Nov 19 2016The dynamical responses of Blume-Capel (S=1) ferromagnet to the plane propagating (with fixed frequency and wavelength) and standing magnetic field waves are studied sepa- rately in two dimensions by extensive Monte Carlo simulation. Depending on the ... More

Some notes on the Feigin Losev Shoikhet integral conjectureDec 12 2006Jun 05 2008Given a vector bundle $\mathcal E$ on a connected compact complex manifold $X$, [FLS] use a notion of completed Hochschild homology $\hat{\text{HH}}$ of $\text{Diff}(\mathcal E)$ such that $\hat{\text{HH}}_0(\text{Diff}(\mathcal E))$ is isomorphic to ... More

On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspensions of Dold manifoldsSep 11 2012A space $X$ is called $W$-trivial if for every vector bundle $\xi$ over $X$, the total Stiefel-Whitney class $W(\xi)= 1$. In this article we shall investigate whether the suspensions of Dold manifolds, $\s^k D(m,n)$, is $W$-trivial or not.

Certain Classes of Cohen-Macaulay Multipartite GraphsMar 21 2018The Cohen-Macaulay property of a graph arising from a poset has been studied by various authors. In this article, we study the Cohen-Macaulay property of a graph arising from a family of reflexive and antisymmetric relations on a set. We use this result ... More

Embeddings and $C^*$-envelopes of exact operator systemsMar 04 2016Mar 01 2017We prove a necessary and sufficient condition for embeddability of an operator system into $\mathcal{O}_2$. Using Kirchberg's theorems on a tensor product of $\mathcal{O}_2$ and $\mathcal{O}_{\infty}$, we establish results on their operator system counterparts ... More

Operator space projective tensor product: Embedding into second dual and ideal structureJun 14 2011We prove that for operator spaces $V$ and $W$, the operator space $V^{**}\otimes_h W^{**}$ can be completely isometrically embedded into $(V\otimes_h W)^{**}$, $\otimes_h$ being the Haagerup tensor product. It is also shown that, for exact operator spaces ... More

Path integrals, spontaneous localisation, and the classical limitAug 13 2018Jan 31 2019We recall that in order to obtain the classical limit of quantum mechanics one needs to take the $\hbar\rightarrow 0$ limit. In addition, one also needs an explanation for the absence of macroscopic quantum superposition of position states. One possible ... More

The effect of distributed time-delays on the synchronization of neuronal networksSep 19 2016Here we investigate the synchronization of networks of FitzHugh-Nagumo neurons coupled in scale-free, small-world and random topologies, in the presence of distributed time delays in the coupling of neurons. We explore how the synchronization transition ... More

Blume-Capel ferromagnet driven by propagating and standing magnetic field wave: Dynamical modes and nonequilibrium phase transitionJun 27 2016Oct 01 2016The dynamical responses of Blume-Capel ferromagnet to the plane propagating (with fixed frequency and wavelength) and standing magnetic field waves are studied sepa- rately in two dimensions by extensive Monte Carlo simulation. Depending on the values ... More

An Adaptive Sequential Monte Carlo Algorithm for Computing PermanentsMay 29 2013We consider the computation of the permanent of a binary n by n matrix. It is well- known that the exact computation is a #P complete problem. A variety of Markov chain Monte Carlo (MCMC) computational algorithms have been introduced in the literature ... More

Integration of Cocycles and Lefschetz Number Formulae for Differential OperatorsApr 13 2009Jan 18 2011Let ${\mathcal E}$ be a holomorphic vector bundle on a complex manifold $X$ such that $\dim_{{\mathbb C}}X=n$. Given any continuous, basic Hochschild $2n$-cocycle $\psi_{2n}$ of the algebra ${\rm Diff}_n$ of formal holomorphic differential operators, ... More

Influence of multiorbitals and anisotropic Coulomb interactions on isotope effect coefficient in doped Fe-based superconductorsOct 27 2016The present work describes the theoretical analysis of isotope effect coefficient as a function of transition temperature in two orbital per site model Hamiltonian in iron based superconducting system. The expression of isotope effect coefficient has ... More