total 6137took 0.12s

'Squeeze & Excite' Guided Few-Shot Segmentation of Volumetric ImagesFeb 04 2019Deep neural networks enable highly accurate image segmentation, but require large amounts of manually annotated data for supervised training. Few-shot learning aims to address this shortcoming by learning a new class from a few annotated support examples. ... More

`Project & Excite' Modules for Segmentation of Volumetric Medical ScansJun 11 2019Jun 12 2019Fully Convolutional Neural Networks (F-CNNs) achieve state-of-the-art performance for image segmentation in medical imaging. Recently, squeeze and excitation (SE) modules and variations thereof have been introduced to recalibrate feature maps channel- ... More

DASA: Domain Adaptation in Stacked Autoencoders using Systematic DropoutMar 19 2016Domain adaptation deals with adapting behaviour of machine learning based systems trained using samples in source domain to their deployment in target domain where the statistics of samples in both domains are dissimilar. The task of directly training ... More

Recalibrating Fully Convolutional Networks with Spatial and Channel 'Squeeze & Excitation' BlocksAug 23 2018In a wide range of semantic segmentation tasks, fully convolutional neural networks (F-CNNs) have been successfully leveraged to achieve state-of-the-art performance. Architectural innovations of F-CNNs have mainly been on improving spatial encoding or ... More

Concurrent Spatial and Channel Squeeze & Excitation in Fully Convolutional NetworksMar 07 2018Jun 08 2018Fully convolutional neural networks (F-CNNs) have set the state-of-the-art in image segmentation for a plethora of applications. Architectural innovations within F-CNNs have mainly focused on improving spatial encoding or network connectivity to aid gradient ... More

Isospin asymmetric nuclear matter and properties of axisymmetric neutron starsFeb 09 2010Jan 06 2011Pure hadronic compact stars, above a limiting value ($\approx$1.6 M$_\odot$) of their gravitational masses, to which predictions of most of other equations of state (EoSs) are restricted, can be reached from the equation of state (EoS) obtained using ... More

Bayesian QuickNAT: Model Uncertainty in Deep Whole-Brain Segmentation for Structure-wise Quality ControlNov 24 2018We introduce Bayesian QuickNAT for the automated quality control of whole-brain segmentation on MRI T1 scans. Next to the Bayesian fully convolutional neural network, we also present inherent measures of segmentation uncertainty that allow for quality ... More

Deep Neural Ensemble for Retinal Vessel Segmentation in Fundus Images towards Achieving Label-free AngiographySep 19 2016Automated segmentation of retinal blood vessels in label-free fundus images entails a pivotal role in computed aided diagnosis of ophthalmic pathologies, viz., diabetic retinopathy, hypertensive disorders and cardiovascular diseases. The challenge remains ... More

Deep Residual HashingDec 16 2016Hashing aims at generating highly compact similarity preserving code words which are well suited for large-scale image retrieval tasks. Most existing hashing methods first encode the images as a vector of hand-crafted features followed by a separate binarization ... More

QuickNAT: A Fully Convolutional Network for Quick and Accurate Segmentation of NeuroanatomyJan 12 2018Nov 24 2018Whole brain segmentation from structural magnetic resonance imaging (MRI) is a prerequisite for most morphological analyses, but is computationally intense and can therefore delay the availability of image markers after scan acquisition. We introduce ... More

Inherent Brain Segmentation Quality Control from Fully ConvNet Monte Carlo SamplingApr 19 2018Jun 08 2018We introduce inherent measures for effective quality control of brain segmentation based on a Bayesian fully convolutional neural network, using model uncertainty. Monte Carlo samples from the posterior distribution are efficiently generated using dropout ... More

Cosmological QCD Phase Transition and Dark MatterJul 07 1999We calculate the size distribution of quark nuggets, which could be formed due to first order QCD phase transition in the early universe. We find that there are a large number of stable Quark Nuggets which could be a viable candidate for cosmological ... More

Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive linkFeb 13 2014We report the existence of diverse routes of transition from amplitude death (AD) to oscillation death (OD) in three different diffusively coupled systems, those are perturbed by a symmetry break- ing repulsive coupling link. For limit cycle systems the ... More

BrainTorrent: A Peer-to-Peer Environment for Decentralized Federated LearningMay 16 2019Access to sufficient annotated data is a common challenge in training deep neural networks on medical images. As annotating data is expensive and time-consuming, it is difficult for an individual medical center to reach large enough sample sizes to build ... More

3DQ: Compact Quantized Neural Networks for Volumetric Whole Brain SegmentationApr 05 2019Apr 16 2019Model architectures have been dramatically increasing in size, improving performance at the cost of resource requirements. In this paper we propose 3DQ, a ternary quantization method, applied for the first time to 3D Fully Convolutional Neural Networks ... More

SynNet: Structure-Preserving Fully Convolutional Networks for Medical Image SynthesisJun 29 2018Cross modal image syntheses is gaining significant interests for its ability to estimate target images of a different modality from a given set of source images,like estimating MR to MR, MR to CT, CT to PET etc, without the need for an actual acquisition.Though ... More

`Project & Excite' Modules for Segmentation of Volumetric Medical ScansJun 11 2019Fully Convolutional Neural Networks (F-CNNs) achieve state-of-the-art performance for image segmentation in medical imaging. Recently, squeeze and excitation (SE) modules and variations thereof have been introduced to recalibrate feature maps channel- ... More

Data Augmentation with Manifold Exploring Geometric Transformations for Increased Performance and RobustnessJan 14 2019In this paper we propose a novel augmentation technique that improves not only the performance of deep neural networks on clean test data, but also significantly increases their robustness to random transformations, both affine and projective. Inspired ... More

3DQ: Compact Quantized Neural Networks for Volumetric Whole Brain SegmentationApr 05 2019Jul 01 2019Model architectures have been dramatically increasing in size, improving performance at the cost of resource requirements. In this paper we propose 3DQ, a ternary quantization method, applied for the first time to 3D Fully Convolutional Neural Networks ... More

3DQ: Compact Quantized Neural Networks for Volumetric Whole Brain SegmentationApr 05 2019Model architectures have been dramatically increasing in size, improving performance at the cost of resource requirements. In this paper we propose 3DQ, a ternary quantization method, applied for the first time to 3D Fully Convolutional Neural Networks ... More

Error Corrective Boosting for Learning Fully Convolutional Networks with Limited DataMay 02 2017Jul 02 2017Training deep fully convolutional neural networks (F-CNNs) for semantic image segmentation requires access to abundant labeled data. While large datasets of unlabeled image data are available in medical applications, access to manually labeled data is ... More

InfiNet: Fully Convolutional Networks for Infant Brain MRI SegmentationOct 11 2018We present a novel, parameter-efficient and practical fully convolutional neural network architecture, termed InfiNet, aimed at voxel-wise semantic segmentation of infant brain MRI images at iso-intense stage, which can be easily extended for other segmentation ... More

Probing CPT violation in neutrino oscillation: A three flavor analysisMay 26 2010Sep 11 2010We have studied $CPT$ violation in neutrino oscillation considering three flavor framework with matter effect. We have constructed a new way to find the oscillation probability incorporating $CPT$ violating terms without any approximation. Then $CPT$ ... More

Prospects of measuring the leptonic CP phase with atmospheric neutrinosJul 23 2009Sep 18 2009We have studied the prospects of measuring the CP violating phase with atmospheric neutrinos at a large magnetized iron calorimeter detector considering the muons (directly measurable) of the neutrino events generated by a MonteCarlo event generator Nuance. ... More

The mass hierarchy with atmospheric neutrinos at INOOct 16 2006Jan 29 2009We study the neutrino mass hierarchy at the magnetized Iron CALorimeter (ICAL) detector at India-based Neutrino Observatory with atmospheric neutrino events generated by the Monte Carlo event generator Nuance. We judicially choose the observables so that ... More

An Optimal Test for the Additive Model with Discrete or Categorical PredictorsJun 17 2019In multivariate nonparametric regression the additive models are very useful when a suitable parametric model is difficult to find. The backfitting algorithm is a powerful tool to estimate the additive components. However, due to complexity of the estimators, ... More

Jet modification in the next decade: a pedestrian outlookMay 08 2014In this review, intended for non-specialists and beginners, we recount the current status of the theory of jet modification in dense matter. We commence with an outline of the "traditional" observables which may be calculated without recourse to event ... More

Hard Probes: After the dust has settled!Oct 06 2015A lot has been learnt in the 15 years since the first data on jet modification at the Relativistic Heavy Ion Collider (RHIC). These proceedings will describe the portion of the theory that is unassailable, and attempt to chart a course for the next period ... More

Jet Medium interactions at Quark Matter 09Aug 12 2009Oct 01 2009The suppression of the yield of high transverse momentum $p_{T}$ hadrons in heavy-ion collisions, referred to as "jet-quenching", has now developed into a comprehensive science. Jets are now used as probes of a variety of properties of the dense medium ... More

A comparison of the sensitivities of the parameters with atmospheric neutrinos for different analysis methodsDec 30 2008Mar 05 2009In the atmospheric neutrino experiments the primary problems are the huge uncertainties of flux, very rapid fall of flux with increase of energy, the energy dependent wide resolutions of energy and zenith angle between true neutrinos and reconstructed ... More

Incorporating Space-Time Within Medium-Modified Jet Event GeneratorsJan 22 2013Feb 05 2013We outline a novel approach to develop an in-medium shower Monte-Carlo event generator based on the higher-twist formalism of jet modification. By undoing one of the light-cone integrals which sets the corresponding light-cone momentum to be equal in ... More

Calculating the Jet Transport Coefficient $\hat{q}$ in Lattice Gauge TheoryOct 11 2012The formalism of jet modification in the higher twist approach is modified to describe a hard parton propagating through a hot thermalized medium. The leading order contribution to the transverse momentum broadening of a high energy (near on-shell) quark ... More

Long-range forces : atmospheric neutrino oscillation at a magnetized detectorJan 29 2010Jul 30 2011Among the combinations $L_e-L_\mu$, $L_e-L_\tau$ and $L_\mu-L_\tau$ any one can be gauged in anomaly free way with the standard model gauge group. The masses of these gauge bosons can be so light that it can induce long-range forces on the Earth due to ... More

Discrimination of mass hierarchy with atmospheric neutrinos at a magnetized muon detectorJul 21 2009Feb 03 2010We have studied the mass hierarchy with atmospheric neutrinos considering the muon energy and zenith angle of the event at the magnetized iron calorimeter detector. For $\chi^2$ analysis we have migrated the number of events from neutrino energy and zenith ... More

Sensitivity to neutrino mixing parameters with atmospheric neutrinosDec 30 2008Nov 18 2009We have analyzed the atmospheric neutrino data to study the octant of $\theta_{23}$ and the precision of the oscillation parameters for a large Iron CALorimeter (ICAL) detector. The ICAL being a tracking detector has the ability to measure the energy ... More

ReLayNet: Retinal Layer and Fluid Segmentation of Macular Optical Coherence Tomography using Fully Convolutional NetworkApr 07 2017Jul 07 2017Optical coherence tomography (OCT) is used for non-invasive diagnosis of diabetic macular edema assessing the retinal layers. In this paper, we propose a new fully convolutional deep architecture, termed ReLayNet, for end-to-end segmentation of retinal ... More

Gaussian Random Functional Dynamic Spatio-Temporal Modeling of Discrete Time Spatial Time Series DataMay 26 2014Aug 24 2017Discrete time spatial time series data arise routinely in meteorological and environmental studies. Inference and prediction associated with them are mostly carried out using any of the several variants of the linear state space model that are collectively ... More

Gaussian Random Functional Dynamic Spatio-Temporal Modeling of Discrete Time Spatial Time Series DataMay 26 2014Oct 26 2016Discrete time spatial time series data arise routinely in meteorological and environmental studies. Inference and prediction associated with them are mostly carried out using any of the several variants of the linear state space model that are collectively ... More

Estimating ocean's density stratification from surface dataOct 27 2018Jan 17 2019Here we propose a semi-analytical technique that accurately reconstructs ocean's density stratification profile, and hence, the pycnocline depth, simply from the free surface elevation data. The ocean surface contains the signature of internal gravity ... More

Tomographic laser absorption spectroscopy using Tikhonov regularizationAug 19 2014Nov 25 2014The application of tunable diode laser absorption spectroscopy (TDLAS) to flames with non-homogeneous temperature and concentration fields is an area where only few studies exist. Experimental work explores the performance of tomographic reconstructions ... More

Model-Based Warp-Level Tiling for Image Processing Programs on GPUsSep 16 2019The efficient execution of image processing pipelines on GPUs is an area of active research. The state-of-art involves 1) dividing portions of an image into overlapped tiles, where each tile can be processed by a single thread block and 2) fusing loops ... More

Spanning trees and Khovanov homologyJul 20 2006Jan 31 2008The Jones polynomial can be expressed in terms of spanning trees of the graph obtained by checkerboard coloring a knot diagram. We show there exists a complex generated by these spanning trees whose homology is the reduced Khovanov homology. The spanning ... More

On mutation and Khovanov homologyJan 31 2008Aug 12 2008It is conjectured that the Khovanov homology of a knot is invariant under mutation. In this paper, we review the spanning tree complex for Khovanov homology, and reformulate this conjecture using a matroid obtained from the Tait graph (checkerboard graph) ... More

On links with cyclotomic Jones polynomialsMay 23 2006Apr 30 2009We show that if {L_n} is any infinite sequence of links with twist number tau(L_n) and with cyclotomic Jones polynomials of increasing span, then lim sup tau(L_n)=infty. This implies that any infinite sequence of prime alternating links with cyclotomic ... More

Electroweak Precision Data, Light Sleptons and Stability of the SUSY Scalar PotentialNov 19 2001The light slepton-sneutrino scenario with non-universal scalar masses at the GUT scale is preferred by the electroweak precision data. Though a universal soft breaking mass at or below the Plank scale can produce the required non-universality at the GUT ... More

A survey on the Turaev genus of knotsJun 08 2014The Turaev genus of a knot is a topological measure of how far a given knot is from being alternating. Recent work by several authors has focused attention on this interesting invariant. We discuss how the Turaev genus is related to other knot invariants, ... More

Determinant density and biperiodic alternating linksApr 13 2016Jul 29 2016Let L be any infinite biperiodic alternating link. We show that for any sequence of finite links that Folner converges almost everywhere to L, their determinant densities converge to the Mahler measure of the 2-variable characteristic polynomial of the ... More

Acylindrical Hyperbolicity of SubgroupsMar 02 2019Mar 15 2019Suppose $G$ is a finitely generated group and $H$ is a finitely generated subgroup of $G$. Let $\partial_{M}G$ denote the Morse boundary of $G$ with Cashen-Mackay topology. In this article we show that if the limit set $\Lambda(H)$ of $H$ in $\partial_{M}G$ ... More

Extending Soft-Collinear-Effective-Theory to describe hard jets in dense QCD mediaAug 07 2008Jun 16 2009An extension to the Soft-Collinear-Effective Theory (SCET) description of hard jets is motivated to include the leading contributions between the propagating partons within the jet with partons radiated from a dense extended medium. The resulting effective ... More

Exact solutions of (0,2) Landau-Ginzburg modelsAug 28 2016In this paper we study the low energy physics of Landau-Ginzburg models with N=(0,2) supersymmetry. We exhibit a number of classes of relatively simple LG models where the conformal field theory at the low energy fixed point can be explicitly identified. ... More

The superconformal index of N=1 class S fixed pointsDec 06 2012We investigate the superconformal index of four-dimensional N=1 superconformal field theories that arise on coincident M5 branes wrapping a holomorphic curve in a local Calabi-Yau three-fold. The structure of the index is very similar to that which appears ... More

Thermodynamic Products for Einstein-Gauss-Bonnet Black Hole with α-Corrected Entropy TermDec 23 2015In the present work, we consider a charged black hole in five dimensional Einstein-Gauss-Bonnet gravity where the {\alpha} corrected entropy term is considered. We examine the horizon radii product, entropy product, Hawking temperature product and free ... More

Image Similarity Using Sparse Representation and Compression DistanceJun 12 2012May 07 2013A new line of research uses compression methods to measure the similarity between signals. Two signals are considered similar if one can be compressed significantly when the information of the other is known. The existing compression-based similarity ... More

A general theory of wave interactions in layered flowsApr 03 2016Using kinematics, we propose a theory of non-modal interactions between the interfaces of a 2D, inviscid, multi-layered fluid system. Specifically, a $3$-interface problem with kinematic and geometric symmetry is explored. Repetitive, extremely short ... More

Stochastic Variational formulas for solutions to linear diffusion equationsDec 01 2009This paper is concerned with solutions to a one dimensional linear diffusion equation and their relation to some problems in stochastic control theory. A stochastic variational formula is obtained for the logarithm of the solution to the diffusion equation, ... More

Towards Open World RecognitionDec 18 2014With the of advent rich classification models and high computational power visual recognition systems have found many operational applications. Recognition in the real world poses multiple challenges that are not apparent in controlled lab environments. ... More

Augmented space recursion for partially disordered systemsJul 12 2001Off-stoichiometric alloys exhibit partial disorder, in the sense that only some of the sublattices of the stoichiometric ordered alloy become disordered. This paper puts forward a generalization of the augmented space recursion (ASR) (introduced earlier ... More

BasisConv: A method for compressed representation and learning in CNNsJun 11 2019It is well known that Convolutional Neural Networks (CNNs) have significant redundancy in their filter weights. Various methods have been proposed in the literature to compress trained CNNs. These include techniques like pruning weights, filter quantization ... More

Complex of Relatively Hyperbolic GroupsMar 11 2017Nov 29 2018In this article, we prove a combination theorem for a complex of relatively hyperbolic groups. It is a generalization of Martin's \cite{martin} work for combination of hyperbolic groups over a finite $M_K$-simplicial complex, where $k\leq 0$.

Twisting quasi-alternating linksDec 16 2007Jan 13 2009Quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology. We show that every quasi-alternating link gives rise to an infinite family of quasi-alternating links obtained by replacing a crossing with an alternating ... More

On the tail of Jones polynomials of closed braids with a full twistApr 15 2010For a closed n-braid L with a full positive twist and with k negative crossings, 0\leq k \leq n, we determine the first n-k+1 terms of the Jones polynomial V_L(t). We show that V_L(t) satisfies a braid index constraint, which is a gap of length at least ... More

Effects of SO(10) D-Term on Yukawa Unification and Unstable Minima of the Supersymmetric Scalar PotentialAug 06 2001Nov 22 2003We study the effects of SO(10) D-terms on the allowed parameter space (APS) in models with $t - b - \tau$ and $b - \tau$ Yukawa unifiction. The former is allowed only for moderate values of the D-term, if very precise ($\le$ 5%) unification is required. ... More

LEP Data and the Stability of the Potential Confront the mSUGRA ModelJun 11 2004Jan 13 2005The requirement that the supersymmetric scalar potential be stable in the minimal supergravity (mSUGRA) model imposes an upper bound on the universal gaugino mass $m_{1/2}$ as function of the common scalar mass $m_0$. Combining this with the experimental ... More

Near Linear Time Approximation Schemes for Uncapacitated and Capacitated b--Matching Problems in Nonbipartite GraphsJul 16 2013Mar 18 2015We present the first fully polynomial approximation schemes for the maximum weighted (uncapacitated or capacitated) $b$--Matching problem for nonbipartite graphs that run in time (near) linear in the number of edges, that is, given any $\delta>0$ the ... More

On the stability of plane Couette-Poiseuille flow with uniform cross-flowMar 11 2010We present a detailed study of the linear stability of plane Couette-Poiseuille flow in the presence of a cross-flow. The base flow is characterised by the cross flow Reynolds number, $R_{inj}$ and the dimensionless wall velocity, $k$. Squire's transformation ... More

Nonlocal transformations of the Generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systemsMay 02 2019We employ the method of nonlocal generalized Sundman transformations to formulate the linearization problem for equations of the generalized Li\'enard type and show that they may be mapped to equations of the dissipative Ermakov-Milne-Pinney type. We ... More

Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equationAug 08 2016Using a novel transformation involving the Jacobi Last Multiplier (JLM) we derive an old integrability criterion due to Chiellini for the Li\'enard equation. By combining the Chiellini condition for integrability and Jacobi's Last Multiplier the Lagrangian ... More

Non-linear dynamics induced by linear wave interactions in multi-layered flowsApr 03 2016Jan 22 2017Using simple kinematics, we propose a general theory of linear wave interactions between the interfacial waves of a two dimensional (2D), inviscid, multi-layered fluid system. The strength of our formalism is that one does not have to specify the physics ... More

Effect of average number of reference speckles on the SNR of object retrieved using off-axis holographic techniqueSep 04 2017The propagation of coherent light through a random scattering medium generates speckle pattern. Although the speckle is random in nature, the object information is scrambled into it. The scrambled object information can be retrieved using off-axis holographic ... More

Social Percolation on Inhomogeneous Spanning NetworkJun 01 2000The Social Percolation model recently proposed by Solomon et al. is studied on the Ising correlated inhomogeneous network. The dynamics in this is studied so as to understand the role of correlations in the social structure. Thus the possible role of ... More

Understanding Recurrent Neural Architectures by Analyzing and Synthesizing Long Distance Dependencies in Benchmark Sequential DatasetsOct 06 2018Jun 05 2019In order to build efficient deep recurrent neural architectures, it isessential to analyze the complexity of long distance dependencies(LDDs) of the dataset being modeled. In this context, in this pa-per, we present detailed analysis of the complexity ... More

The 2-3 mixing and mass split: atmospheric neutrinos and magnetized spectrometersDec 02 2010May 02 2011We study dependence of the atmospheric $\nu_\mu$ and $\bar{\nu}_\mu$ fluxes on the deviations of the 2-3 mixing from maximal, $|45^\circ - \theta_{23}|$, on the $\theta_{23}$-octant and on the neutrino mass splitting $\Delta m_{32}^2$. Analytic expressions ... More

Making High-Performance Robots Safe and Easy to Use for an Introduction to ComputingSep 06 2019Robots are a popular platform for introducing computing and artificial intelligence to novice programmers. However, programming state-of-the-art robots is very challenging, and requires knowledge of concurrency, operation safety, and software engineering ... More

Learning Optimal Deep Projection of $^{18}$F-FDG PET Imaging for Early Differential Diagnosis of Parkinsonian SyndromesOct 11 2018Several diseases of parkinsonian syndromes present similar symptoms at early stage and no objective widely used diagnostic methods have been approved until now. Positron emission tomography (PET) with $^{18}$F-FDG was shown to be able to assess early ... More

Time dependent nonclassical properties of even and odd nonlinear coherent statesSep 21 1999We construct even and odd nonlinear coherent states of a parametric oscillator and examine their nonclassical properties.It has been shown that these superpositions exhibit squeezing and photon antibunching which change with time.

How to make a cylinder roll uphillOct 16 2015Slithering, crawling, slipping, gliding are various modes of limbless locomotion that have been mimicked for micro-manipulation of soft, slender and sessile objects. A lesser known mode is rolling which involves periodic, asymmetric and lateral muscular ... More

Realizable receivers for discriminating arbitrary coherent-state waveforms and multi-copy quantum states near the quantum limitDec 10 2012Feb 13 2013Coherent states of light, and methods for distinguishing between them, are central to all applications of laser light. We obtain the ultimate quantum limit on the error probability exponent for discriminating among any M multimode coherent-state waveforms ... More

Bi-Hamiltonian Structures of Chaotic Dynamical Systems in 3DNov 21 2015We study Poisson structures of dynamical systems with three degrees of freedom which are known for their chaotic properties, namely L\"u, modified L\"u, Chen, $T$ and Qi systems. We show that all these flows admit bi-Hamiltonian structures depending on ... More

Two-way Parikh AutomataJul 22 2019Parikh automata extend automata with counters whose values can only be tested at the end of the computation, with respect to membership into a semi-linear set. Parikh automata have found several applications, for instance in transducer theory, as they ... More

Phase properties of a new nonlinear coherent stateFeb 15 2000Jun 14 2000We study phase properties of a displacement operator type nonlinear coherent state. In particular we evaluate the Pegg-Barnett phase distribution and compare it with phase distributions associated with the Husimi Q function and the Wigner function. We ... More

Exact solutions of effective mass Schroedinger equationsJun 06 2001We outline a general method of obtaining exact solutions of Schroedinger equations with a position dependent effective mass. Exact solutions of several potentials including shape invariant potentials have also been obtained.

New nonlinear coherent states and some of their nonclassical propertiesJan 10 2000We construct a displacement operator type nonlinear coherent state and examine some of its properties. In particular it is shown that this nonlinear coherent state exhibits nonclassical properties like squeezing and sub-Poissonian behaviour.

Quasi-Exact Solvability and Deformations of Sl(2) AlgebraApr 08 2013Algebraic structure of a class of differential equations including Heun is shown to be related with the deformations of sl(2) algebra. These include both quadratic and cubic ones. The finite dimensional representation of cubic algebra is explicitly shown ... More

Study Of A Planar Lattice Model With $P_4$ InteractionAug 18 1997A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for calculating ... More

Stability against $α$ decay of some recently observed superheavy elementsJan 06 2011The probability of $\alpha$ particle emission for some recently observed superheavy nuclei (SHN) are investigated. The $\alpha$-decay half lives of SHN are calculated in a quantum tunneling model with density dependent M3Y (DDM3Y) effective nuclear interaction ... More

Study of Phase Stability in NiPt SystemsNov 18 2002Jan 23 2003We have studied the problem of phase stability in NiPt alloy system. We have used the augmented space recursion based on the TB-LMTO as the method for studying the electronic structure of the alloys. In particular, we have used the relativistic generalization ... More

Exploration prospects of a long baseline Beta Beam neutrino experiment with an iron calorimeter detectorMay 03 2005Oct 07 2005A high intensity source of a single neutrino flavour with known spectrum is most desirable for precision measurements, the consensus direction for the future. The beta beam is an especially suitable option for this. We discuss the prospects of a very ... More

Microscopic potential model analysis of the radiative $(n,γ)$ cross sections near the $Z=50$ shell closure taking part in the main s-componentOct 09 2016The neutron capture cross sections have been studied near the $Z=50$ closed shell for a number of nuclei those take part in heavy element nucleosynthesis, the slow and the rapid neutron capture processes and the proton capture process. An optical model ... More

New Bounds on Slepton and Wino Masses in Anomaly Mediated Supersymmetry Breaking ModelsJan 04 2001Jul 27 2001We show how the spectrum of the minimal anomaly-mediated supersymmetry breaking model can be constrained from the condition that the electroweak symmetry breaking minimum of the scalar potential is the deepest point in the field space. Applying the current ... More

A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solutionJun 04 2019In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate ... More

Geometrically and diagrammatically maximal knotsNov 28 2014Jun 10 2015The ratio of volume to crossing number of a hyperbolic knot is known to be bounded above by the volume of a regular ideal octahedron, and a similar bound is conjectured for the knot determinant per crossing. We investigate a natural question motivated ... More

The 500 simplest hyperbolic knotsJul 16 2013Oct 09 2014We identify all hyperbolic knots whose complements are in the census of orientable one-cusped hyperbolic manifolds with eight ideal tetrahedra. We also compute their Jones polynomials.

Volume bounds for weaving knotsJun 10 2015May 24 2016Weaving knots are alternating knots with the same projection as torus knots, and were conjectured by X.-S. Lin to be among the maximum volume knots for fixed crossing number. We provide the first asymptotically correct volume bounds for weaving knots, ... More

Neutron capture reactions relevant to s-process and p-process in the domain of the $N=50$ shell closureApr 22 2016Radiative thermal neutron capture cross sections for nuclei participating in s-process and p-process nucleosynthesis in and around $N=50$ closed neutron shell have been calculated in statistical semi-microscopic Hauser-Feshbach approach for the energy ... More

Effect of disorder on the optical response of NiPt and Ni$_3$Pt alloysMay 18 2017May 20 2017In this communication we present a detailed study of the effect of chemical disorder on the optical response of Ni$_{1-x}$Pt$_x$ (0.1$\leq$ x $\leq$0.75) and Ni$_{3(1-x)/3}$Pt$_x$ (0.1$\leq$ x $\leq$0.3). We shall propose a formalism which will combine ... More

Are supersymmetric models with minimal particle content under tension for testing at LHC?Nov 25 2014Oct 21 2016In supersymmetric models with minimal particle content and without large left-right squarks mixing, the conventional knowledge is that the Higgs Boson mass around 125 GeV leads to top squark masses ${\cal O}(10)$ TeV, far beyond the reach of colliders. ... More

An "inverse square law" for the currency market: Uncovering hidden universality in heterogeneous complex systemsJun 20 2016Identifying universal behavior is a challenging task for far-from-equilibrium complex systems. Here we investigate the collective dynamics of the international currency exchange market and show the existence of a semi-invariant signature masked by the ... More

Structure and stability of copper clusters : A tight-binding molecular dynamics studyOct 29 2003In this paper we propose a tight-binding molecular dynamics with parameters fitted to first-principles calculations on the smaller clusters and with an environment correction, to be a powerful technique for studying large transition/noble metal clusters. ... More

Interacting hadron resonance gas model in magnetic field and the fluctuations of conserved chargesAug 28 2019In this paper, we discuss the interacting hadron resonance gas model in the presence of a constant external magnetic field. The short-range repulsive interaction between hadrons are accounted through van der Waals excluded volume correction to the ideal ... More

The Role and Detectability of the Charm Contribution to Ultra High Energy Neutrino FluxesMay 15 2009Aug 27 2009It is widely believed that charm meson production and decay may play an important role in high energy astrophysical sources of neutrinos, especially those that are baryon-rich, providing an environment conducive to pp interactions. Using slow-jet supernovae ... More