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Quantized Photocurrents in the Chiral Multifold Fermion System RhSiFeb 08 2019The rapid pace of discovery of new classes of Weyl semimetals is driving a search for properties that derive from their unique bandstructure topology. One of the most striking of the predicted properties is the quantized circular photogalvanic effect ... More

A Sunyaev-Zel'dovich take on cluster radio haloes -- I. Global scaling and bi-modality using Planck dataNov 11 2011Apr 13 2012Giant radio haloes in galaxy clusters are the primary evidence for the existence of relativistic particles (cosmic rays) and magnetic fields over Mpc scales. Observational tests for the different theoretical models explaining their powering mechanism ... More

Spin-polaron ladder spectrum of the spin-orbit-induced Mott insulator Sr$_2$IrO$_{4}$ probed by scanning tunneling spectroscopyFeb 27 2018Feb 28 2018The motion of doped electrons or holes in an antiferromagnetic lattice with strong on-site Coulomb interaction touches one of the most fundamental open problems in contemporary condensed matter physics. The doped charge may strongly couple to elementary ... More

Berry curvature unravelled by the Nernst effectFeb 05 2019The discovery of topological quantum materials represents a striking innovation in modern condensed matter physics with remarkable fundamental and technological implications. Their classification has been recently extended to topological Weyl semimetals, ... More

Some results on the radio-SZ correlation for galaxy cluster radio halosOct 11 2012We present correlation results for the radio halo power in galaxy clusters with the integrated thermal Sunyaev-Zel'dovich (SZ) effect signal, including new results obtained at sub-GHz frequencies. The radio data is compiled from several published works, ... More

The iridium double perovskite Sr2YIrO6 revisited: A combined structural and specific heat studyJun 16 2016Recently, the iridate double perovskite Sr$_2$YIrO$_6$ has attracted considerable attention due to the report of unexpected magnetism in this Ir$^{5+}$ (5d$^4$) material, in which according to the J$_{eff}$ model, a non-magnetic ground state is expected. ... More

A Hybrid Linear Logic for Constrained Transition SystemsMar 08 2016Linear implication can represent state transitions, but real transition systems operate under temporal, stochastic or probabilistic constraints that are not directly representable in ordinary linear logic. We propose a general modal extension of intuitionistic ... More

Proceedings Tenth International Workshop on Logical Frameworks and Meta Languages: Theory and PracticeJul 27 2015This volume constitutes the proceedings of LFMTP 2015, the Tenth International Workshop on Logical Frameworks and Meta-Languages: Theory and Practice, held on August 1st, 2015 in Berlin, Germany. The workshop was a one-day satellite event of CADE-25, ... More

Certain geometric structure of $Λ$-sequence spacesDec 03 2016The $\Lambda$-sequence spaces $\Lambda_p$ for $1< p\leq\infty$ and its generalization $\Lambda_{\hat{p}}$ for $1<\hat{p}<\infty$, $\hat{p}=(p_n)$ is introduced. The James constants and strong $n$-th James constants of $\Lambda_p$ for $1<p\leq\infty$ is ... More

Optimal two-level choice designs for the main effects and specified interaction effects modelOct 28 2015Choice designs for the main effects model, broader main effects model and main effects plus specified interaction effects model are discussed in this paper. Universally optimal choice designs are obtained for all of these models using Hadamard matrix ... More

Maximal averages associated to families of finite type surfacesOct 29 2015Sep 26 2016We study the boundedness problem for maximal operators $\mathcal{M}$ associated to averages along families of hypersurfaces $S$ of finite type in $\mathbb{R}^n.$ In this paper, we prove that if $S$ is a finite type hypersurface which is of finite type ... More

Maximal functions associated to flat plane curves with Mitigating factorsSep 26 2016We study the boundedness problem for maximal operators $\mathbb{M}_{\sigma}$ associated to flat plane curves with Mitigating factors, defined by $$\mathbb{M}_{\sigma}f(x) \, := \, \sup_{1 \leq t \leq 2} \left|\int_{0}^{1} f(x-t\Gamma(s)) \, (\kappa(s))^{\sigma} ... More

Adaptive modulation in Ni2Mn1.4In0.6 magnetic shape memory Heusler alloyNov 21 2016The origin of incommensurate structural modulation in Ni-Mn based magnetic shape memory Heusler alloys is still an unresolved issue inspite of intense focus on this due to the linkage between high magnetic field induced strain and modulated structure. ... More

Abelian Cascade Dynamics in Bootstrap PercolationJul 27 1998The culling process in Bootstrap Percolation is Abelian since the final stable configuration does not depend on the details of the updating procedure. An efficient algorithm is devised using this idea for the determination of the bootstrap percolation ... More

Proposing A Ciphering ProtocolMay 10 2016This paper describes a novel bit level stream cipher based symmetric key cryptographic technique. At first, sender and receiver agree upon a symmetric key. Then the symmetric key is formed using Greatest Common Divisor (G.C.D) of sum of even or odd bit ... More

Correlated Paramagnetism and Interplay of Magnetic and Phononic Degrees of Freedom in 3d-5d Coupled La2CuIrO6Jan 01 2019Conventional Paramagnetism - a state with finite magnetic moment per ion sans long range magnetic ordering, but with lowering temperature the moment on each ion picks up a particular direction, breaking rotational symmetry, and results into long range ... More

Beam energy dependence of pseudorapidity distributions of charged particles produced in heavy-ion collisions at RHIC and LHC energiesApr 29 2016Heavy-ion collisions at the Relativistic Heavy Ion Collider at Brookhaven National Laboratory and the Large Hadron Collider at CERN probe matter at extreme conditions of temperature and energy density. Most of the global properties of the collisions can ... More

Asymptotic Dynamics of RipplesJan 31 2000A new nonlinear equation governing asymptotic dynamics of ripples is derived by using a short wave perturbative expansion on a generalized version of the Green-Naghdi system. It admits peakon solutions with amplitude, velocity and width in interrelation ... More

Diffusion limited friendship network: A model for six degrees of separationApr 02 2003Aug 28 2003A dynamic model of a society is studied where each person is an uncorrelated and non-interacting random walker. A dynamical random graph represents the acquaintance network of the society whose nodes are the individuals and links are the pairs of mutual ... More

Discrete instability in nonlinear latticesMar 18 1999Oct 14 1999The discrete multiscale analysis for boundary value problems in nonlinear discrete systems leads to a first order discrete modulational instability above a threshold amplitude for wave numbers beyond the zero of group velocity dispersion. Applied to the ... More

Proposing A Symmetric Key Bit-Level Block CipherMay 11 2016A novel bit level block cipher based symmetric key cryptographic technique using G.C.D is proposed in this research paper. Entire plain text file is read one character at a time and according to the binary representation of ASCII value of the characters, ... More

The Hawking Temperature in the context of Dark Energy for Reissner-Nordstrom and Kerr backgroundMar 12 2013Mar 17 2014For emergent gravity metrics, presence of dark energy modifies the Hawking temperature. We show that for the spherically symmetric Reissner-Nordstrom (RN) background metric, the emergent metric can be mapped into a Robinson-Trautman blackhole. Allowed ... More

Sandpile Models of Self-Organized CriticalityAug 23 1999Self-Organized Criticality is the emergence of long-ranged spatio-temporal correlations in non-equilibrium steady states of slowly driven systems without fine tuning of any control parameter. Sandpiles were proposed as prototypical examples of self-organized ... More

Multiscale Analysis of Discrete Nonlinear Evolution EquationsFeb 05 1999Oct 14 1999The method of multiscale analysis is constructed for dicrete systems of evolution equations for which the problem is that of the far behavior of an input boundary datum. Discrete slow space variables are introduced in a general setting and the related ... More

Stochastic Control of Tidal Dynamics Equation with Levy NoiseJan 03 2015In this work we first present the existence, uniqueness and regularity of the strong solution of the tidal dynamics model perturbed by Levy noise. Monotonicity arguments have been exploited in the proofs. We then formulate a martingale problem of Stroock ... More

About the fastest growth of Order Parameter in Models of PercolationJun 14 2011Can there be a `Litmus test' for determining the nature of transition in models of percolation? In this paper we argue that the answer is in the affirmative. All one needs to do is to measure the `growth exponent' $\chi$ of the largest component at the ... More

Branching Process in a Stochastic Extremal ModelApr 27 2009Sep 16 2009We considered a stochastic version of the Bak-Sneppen model (SBSM) of ecological evolution where the the number $M$ of sites mutated in a mutation event is restricted to only two. Here the mutation zone consists of only one site and this site is randomly ... More

Self-Organization in a Granular Medium by Internal AvalanchesSep 12 2000Internal avalanches of grain displacements can be created inside a granular material kept in a bin in two ways: (i) By removing a radomly selected grain at the bottom of the bin (ii) By breaking a stable arch of grains clogging a hole at the bottom of ... More

Strong Solutions of Stochastic Models for Viscoelastic Flows of Oldroyd TypeJun 15 2017In this work we study stochastic Oldroyd type models for viscoelastic fluids in $\mathbb{R}^d, d= 2, 3$. We show existence and uniqueness of strong local maximal solutions when the initial data are in $H^s$ for $s>d/2, d= 2, 3$. Probabilistic estimate ... More

Boundary-layers for a Neumann problem at higher critical exponentsApr 10 2016We consider the Neumann problem $$(P)\qquad - \Delta v + v= v^{q-1} \ \text{in }\ \mathcal{D}, \ v > 0 \ \text{in } \ \mathcal{D},\ \partial_\nu v = 0 \ \text{on } \partial\mathcal{D} ,$$ where $\mathcal{D} $ is an open bounded domain in $\mathbb{R}^N,$ ... More

Self-organized critical earthquake model with moving boundaryJun 08 2006Nov 20 2006A globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center of the boundary. ... More

A quasi-random spanning tree model for the early river networkJan 29 1996We consider a model for the formation of a river network in which erosion process plays a role only at the initial stage. Once a global connectivity is achieved, no further evolution takes place. In spite of this, the network reproduces approximately ... More

Quasistatic Scale-free NetworksJul 19 2002Nov 13 2002A network is formed using the $N$ sites of an one-dimensional lattice in the shape of a ring as nodes and each node with the initial degree $k_{in}=2$. $N$ links are then introduced to this network, each link starts from a distinct node, the other end ... More

Weighted Trade Network in a Model of Preferential Bipartite TransactionsSep 22 2009Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the preferential selection ... More

Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co$_2$MnGaJun 18 2018Applying a temperature gradient in a magnetic material generates a voltage that is perpendicular to both the heat flow and the magnetization. This is the anomalous Nernst effect (ANE) which was thought to be proportional to the value of the magnetization ... More

Asymptotic dynamics of short-waves in nonlinear dispersive modelsOct 20 1997The multiple-scale perturbation theory, well known for long-waves, is extended to the study of the far-field behaviour of short-waves, commonly called ripples. It is proved that the Benjamin-Bona-Mahony- Peregrine equation can propagates short-waves. ... More

Scale free networks from a Hamiltonian dynamicsMay 03 2003Jul 09 2003Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible. By applying ... More

Fractal Dimension of Backbone of Eden TreesJul 16 1996Jul 18 1996We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dynamical exponent z. In two dimensions, it gives fractal dimension of backbone equal to 4/3 and spectral dimension of trees equal to 5/4. In three dimensions, ... More

Weighted Scale-free Networks in Euclidean Space Using Local Selection RuleMar 30 2005Aug 23 2006A spatial scale-free network is introduced and studied whose motivation has been originated in the growing Internet as well as the Airport networks. We argue that in these real-world networks a new node necessarily selects one of its neighbouring local ... More

Space-filling PercolationMar 10 2014A region of two-dimensional space has been filled randomly with large number of growing circular discs allowing only a `slight' overlapping among them just before their growth stop. More specifically, each disc grows from a nucleation center that is selected ... More

A remarkable sequence of integersDec 17 2008A survey of properties of a sequence of coefficients appearing in the evaluation of a quartic definite integral is presented. These properties are of analytical, combinatorial and number-theoretical nature.

Reasoning About Higher-Order Relational SpecificationsFeb 11 2013Aug 05 2013The logic of hereditary Harrop formulas (HH) has proven useful for specifying a wide range of formal systems. This logic includes a form of hypothetical judgment that leads to dynamically changing sets of assumptions and that is key to encoding side conditions ... More

A simple example of a new class of Landen transformationJul 26 2007The rational Landen transformation is a map on the coefficients of a rational integrand that preserves the value of the integral. This is the rational analog of the classical Landen transformations for elliptic integrals that leads to the arithmetic-geometric ... More

Sandpile model on an optimized scale-free network on Euclidean spaceJan 05 2005Deterministic sandpile models are studied on a cost optimized Barab\'asi-Albert (BA) scale-free network whose nodes are the sites of a square lattice. For the optimized BA network, the sandpile model has the same critical behaviour as the BTW sandpile, ... More

Particle-hole symmetry in a sandpile modelJan 22 2005In a sandpile model addition of a hole is defined as the removal of a grain from the sandpile. We show that hole avalanches can be defined very similar to particle avalanches. A combined particle-hole sandpile model is then defined where particle avalanches ... More

Review of syn-flooding attack detection mechanismFeb 08 2012Denial of Service (DoS) is a security threat which compromises the confidentiality of information stored in Local Area Networks (LANs) due to unauthorized access by spoofed IP addresses. SYN Flooding is a type of DoS which is harmful to network as the ... More

Modified Korteweg-de Vries Hierachies in Multiple-Times Variables and the Solutions of Modified Boussinesq EquationsMar 10 1997We study solitary-wave and kink-wave solutions of a modified Boussinesq equation through a multiple-time reductive perturbation method. We use appropriated modified Korteweg-de Vries hierarchies to eliminate secular producing terms in each order of the ... More

Modulated Scale-free Network in the Euclidean SpaceMar 10 2002Sep 27 2002A random network is grown by introducing at unit rate randomly selected nodes on the Euclidean space. A node is randomly connected to its $i$-th predecessor of degree $k_i$ with a directed link of length $\ell$ using a probability proportional to $k_i ... More

Clustering properties of a generalised critical Euclidean networkJan 31 2003Many real-world networks exhibit scale-free feature, have a small diameter and a high clustering tendency. We have studied the properties of a growing network, which has all these features, in which an incoming node is connected to its $i$th predecessor ... More

Sandpile Model with Activity InhibitionJun 25 1997A new sandpile model is studied in which bonds of the system are inhibited for activity after a certain number of transmission of grains. This condition impels an unstable sand column to distribute grains only to those neighbours which have toppled less ... More

Galaxy cluster outskirts from the thermal SZ and non-thermal synchrotron linkNov 25 2016Galaxy cluster merger shocks are the main agent for the thermalization of the intracluster medium and the energization of cosmic ray particles in it. Shock propagation changes the state of the tenuous intracluster plasma, and the corresponding signal ... More

Landen surveyJul 17 2007Landen transformations are maps on the coefficients of an integral that preserve its value. We present a brief survey of their appearnce in the literature.

Directed Fixed Energy Sandpile ModelApr 22 2004We numerically study the directed version of the fixed energy sandpile. On a closed square lattice, the dynamical evolution of a fixed density of sand grains is studied. The activity of the system shows a continuous phase transition around a critical ... More

Scale-free Network on Euclidean Space Optimized by Rewiring of LinksFeb 12 2003Apr 02 2003A Barab\'asi-Albert scale-free network is constructed whose nodes are the Poisson distributed random points within a unit square and links are the straight line connections among the nodes. The cost function, which is the total wiring length associated ... More

Weighted scale-free network with self-organizing link weight dynamicsMay 18 2006All crucial features of the recently observed real-world weighted networks are obtained in a model where the weight of a link is defined with a single non-linear parameter $\alpha$ as $w_{ij}=(s_is_j)^\alpha$, $s_i$ and $s_j$ are the strengths of two ... More

A singular integrable equation from short capillary-gravity wavesMar 20 2003From a columnar approximation of the Euler equations of an incompressible fluid with surface tension, we derive in the short-wave approximation a new integrable classical 1+1 dimensional field theory for the motion of the surface. Together with a Lorentz ... More

Shell Model of Turbulence Perturbed by Lévy NoiseDec 07 2010In this work we prove the existence and uniqueness of the strong solution of the shell model of turbulence perturbed by L\'{e}vy noise. The local monotonicity arguments have been exploited in the proofs.

Verifying Safety Properties With the TLA+ Proof SystemNov 11 2010TLAPS, the TLA+ proof system, is a platform for the development and mechanical verification of TLA+ proofs written in a declarative style requiring little background beyond elementary mathematics. The language supports hierarchical and non-linear proof ... More

A TLA+ Proof SystemNov 12 2008We describe an extension to the TLA+ specification language with constructs for writing proofs and a proof environment, called the Proof Manager (PM), to checks those proofs. The language and the PM support the incremental development and checking of ... More

Rational Landen transformations on the real lineJul 26 2007The rational Landen transformation is a map on the space of coefficients of a rational integrand that preserves the value of the integral. We provide a family of these transformations that apply to rational integrands on the whole line. Given an integer ... More

Sandpile model on a quenched substrate generated by kinetic self-avoiding trailsJan 05 2005Kinetic self-avoiding trails are introduced and used to generate a substrate of randomly quenched flow vectors. Sandpile model is studied on such a substrate with asymmetric toppling matrices where the precise balance between the net outflow of grains ... More

Phase transition in a directed traffic flow networkJan 05 2005The generic feature of traffic in a network of flowing electronic data packets is a phase transition from a stationary free-flow phase to a continuously growing congested non-stationary phase. In the most simple network of directed oriented square lattice ... More

A new route to Explosive PercolationNov 24 2009Oct 07 2010The biased link occupation rule in the Achlioptas process (AP) discourages the large clusters to grow much ahead of others and encourages faster growth of clusters which lag behind. In this paper we propose a model where this tendency is sharply reflected ... More

Percolation model with an additional source of disorderJun 02 2016The ranges of transmission of the mobiles in a Mobile Ad-hoc Network are not uniform in reality. They are affected by the temperature fluctuation in air, obstruction due to the solid objects, even the humidity difference in the environment, etc. How the ... More

2-D Magneto-Hydrodynamic System with Jump Processes: Well Posedness and Invariant MeasuresDec 19 2014In this work we prove the existence and uniqueness of the strong solution to the two-dimensional stochastic magneto-hydrodynamic system perturbed by Levy noise. The local monotonicity arguments have been ex- ploited in the proofs. The existence of a unique ... More

Lyapunov Functionals and Local Dissipativity for the Vorticity Equation in L^p and Besov SpacesFeb 20 2008In this paper we establish the local Lyapunov property of certain L^p and Besov norms of the vorticity fields. We have resolved in part, a certain open problem posed by Tosio Kato for the three dimensional Navier Stokes equation by studying the vorticity ... More

The impact of the SZ effect on cm-wavelength (1-30 GHz) observation of galaxy cluster radio relicsNov 10 2015Apr 05 2016(Abridged) Radio relics in galaxy clusters are believed to be associated with powerful shock fronts that originate during cluster mergers, and are a testbed for the acceleration of relativistic particles in the intracluster medium. Recently, radio relic ... More

On the solutions of a singular elliptic equation concentrating on a circleOct 22 2013Let $A=\{x\in \R^{2N+2} : 0< a< |x| <b\}$ be an annulus. Consider the following singularly perturbed elliptic problem on $A$ \begin{equation} \begin{array}{lll} -\eps^2{\De u} + |x|^{\alpha}u = |x|^{\alpha}u^p, &\mbox{\qquad in} A \notag u>0 &\mbox{\qquad ... More

On the solutions of a singular elliptic equation concentrating on two orthogonal spheresSep 23 2013Let $A=\{x\in \R^{2m} : 0< a< |x| <b\}$ be an annulus. Consider the following singularly perturbed elliptic problem on $A$ \begin{equation} \begin{array}{lll} -\eps^2{\De u} + |x|^{\eta}u = |x|^{\eta}u^p, &\mbox{\qquad in} A \notag u>0 &\mbox{\qquad in} ... More

Internal Avalanches in a Granular MediumAug 04 1998Avalanches of grain displacements can be generated by creating local voids within the interior of a granular material at rest in a bin. Modeling such a two-dimensional granular system by a collection of mono-disperse discs, the system on repeated perturbations, ... More

Conservative self-organized extremal model for wealth distributionSep 30 2011We present a detailed numerical analysis of the modified version of a conservative self-organized extremal model introduced by Pianegonda et. al. for the distribution of wealth of the people in a society. Here the trading process has been modified by ... More

Some $B$-Difference Sequence Spaces Derived by Using Generalized Means and Compact OperatorsJul 19 2013This paper presents new sequence spaces $X(r, s, t, p ; B)$ for $X \in \{l_\infty(p), c(p), c_0(p), l(p)\}$ defined by using generalized means and difference operator. It is shown that these spaces are complete paranormed spaces and the spaces $X(r, s, ... More

From colossal to zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature DesignDec 29 2017Dec 13 2018Since the discovery of the anomalous Hall effect (AHE), the anomalous Hall conductivity (AHC) has been thought to be zero when there is no net magnetization. However, the recently found relation between the intrinsic AHE and the Berry curvature predicts ... More

Self-organized random walks and stochastic sandpile: From linear to branched avalanchesJun 25 2002In a model of self-organized criticality unstable sites discharge to just one of their neighbors. For constant discharge ratio $\alpha$ and for a certain range of values of the input energy, avalanches are simple branchless P\'olya random walks, and their ... More

Information sharing and sorting in a communityJun 04 2013We present the results of detailed numerical study of a model for the sharing and sorting of informations in a community consisting of a large number of agents. The information gathering takes place in a sequence of mutual bipartite interactions where ... More

The International Trade NetworkJul 30 2007Bilateral trade relationships in the international level between pairs of countries in the world give rise to the notion of the International Trade Network (ITN). This network has attracted the attention of network researchers as it serves as an excellent ... More

Ontology-driven Information ExtractionDec 18 2015Homogeneous unstructured data (HUD) are collections of unstructured documents that share common properties, such as similar layout, common file format, or common domain of values. Building on such properties, it would be desirable to automatically process ... More

The 2-adic valuation of a sequence arising from a rational integralJul 14 2007We analyze properties of the 2-adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation of the valuations of this sequence. Connections with the orbits arising ... More

The 2-adic valuations of Stirling numbersJul 20 2007The 2-adic valuation of the Stirling numbres is examined. We conjecture pattrens about the distributions of these valuations in residue classes modulo powers of 2.

Grain Boundary Driven Plateau-Rayleigh Instability in Multilayer Nanocrystalline Thin Film: A Phase-field StudyNov 02 2016Nov 14 2016Thermal stability of nanocrystalline multilayer thin film is of paramount importance as the applications often involve high temperature. Here we report on the layer instability phenomenon in binary polycrystalline thin film initiating from the grain boundary ... More

Taming Primary Key Violations to Query Large Inconsistent DataJul 22 2015Consistent query answering over a database that violates primary key constraints is a classical hard problem in database research that has been traditionally dealt with logic programming. However, the applicability of existing logic-based solutions is ... More

Scaling forms for Relaxation Times of the Fiber Bundle modelJun 20 2013Using extensive numerical analysis of the Fiber Bundle Model with Equal Load Sharing dynamics we studied the finite-size scaling forms of the relaxation times against the deviations of applied load per fiber from the critical point. Our most crucial result ... More

Intermittent Granular Flow and Clogging with Internal AvalanchesSep 12 1999The dynamics of intermittent granular flow through an orifice in a granular bin and the associated clogging due to formation of arches blocking the outlet, is studied numerically in two-dimensions. Our numerical results indicate that for small hole sizes, ... More

"Some $m$th-order Difference Sequence Spaces of Generalized Means and Compact Operators"Jul 19 2013In this paper, new sequence spaces $X(r, s, t ;\Delta^{(m)})$ for $X\in \{l_\infty, c, c_0\}$ defined by using generalized means and difference operator of order $m$ are introduced. It is shown that these spaces are complete normed linear spaces and the ... More

Difference Sequence Spaces Derived by Using Generalized MeansJul 19 2013This paper deals with new sequence spaces $X(r, s, t ;\Delta) $ for $X\in \{l_\infty, c, c_0\}$ defined by using generalized means and difference operator. It is shown that these spaces are complete normed linear spaces and the spaces $X(r, s, t ;\Delta)$ ... More

A nonlinear Schrödinger equation for water waves on finite depth with constant vorticityJul 10 2012A nonlinear Schr\"odinger equation for the envelope of two dimensional surface water waves on finite depth with non zero constant vorticity is derived, and the influence of this constant vorticity on the well known stability properties of weakly nonlinear ... More

Large Deviations for the Stochastic Shell Model of TurbulenceFeb 05 2008In this work we first prove the existence and uniqueness of a strong solution to stochastic GOY model of turbulence with a small multiplicative noise. Then using the weak convergence approach, Laplace principle for so- lutions of the stochastic GOY model ... More

Double Transition in a Model of Oscillating PercolationSep 04 2017Two distinct transition points have been observed in a problem of lattice percolation studied using a system of pulsating discs. Sites on a regular lattice are occupied by circular discs whose radii vary sinusoidally within $[0,R_0]$ starting from a random ... More

An integrable evolution equation for surface waves in deep waterJan 30 2011In order to describe the dynamics of monochromatic surface waves in deep water, we derive a nonlinear and dispersive system of equations for the free surface elevation and the free surface velocity from the Euler equations in infinite depth. From it, ... More

Phase-field Study of Plateau-Rayleigh Instability in Multilayer Nanocrystalline Thin FilmNov 02 2016Thermal stability of nanocrystalline multilayer thin film is of paramount importance as the applications often involve high temperature. We have studied the stability of multilayer thin film using phase-field simulations. Effect of layer thickness, bilayer ... 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

Theory of small aspect ratio waves in deep waterDec 20 2005In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water) without potential ... More

Detailed simulation results for some wealth distribution models in EconophysicsApr 22 2005May 19 2006In this paper we present detailed simulation results on the wealth distribution model with quenched saving propensities. Unlike other wealth distribution models where the saving propensities are either zero or constant, this model is not found to be ergodic ... More

Masking singularities with $k-$essence fields in an emergent gravity metricMar 17 2011Aug 10 2011It is known that dynamical solutions of the $k$-essence equation of motion change the metric for the perturbations around these solutions and the perturbations propagate in an emergent spacetime with metric $\tilde G^{\mu\nu}$ different from the gravitational ... More

Consistent Query Answering via ASP from Different Perspectives: Theory and PracticeJul 22 2011Oct 07 2011A data integration system provides transparent access to different data sources by suitably combining their data, and providing the user with a unified view of them, called global schema. However, source data are generally not under the control of the ... More

Is mSUGRA under tension for testing at colliders?Nov 25 2014Jan 12 2015One of the prime goals of LHC is the search for supersymmetry and the most attractive and well motivated model of supersymmetry is mSUGRA. But, it has been shown a strong constraint on mSUGRA in literature after the discovery of Higgs boson with mass ... More

Cyclic and Coherent States in Flocks with Topological DistanceDec 26 2013A simple model of the two dimensional collective motion of a group of mobile agents have been studied. Like birds, these agents travel in open free space where each of them interacts with the first $n$ neighbors determined by the topological distance ... More

A transition from river networks to scale-free networksJan 11 2007A spatial network is constructed on a two dimensional space where the nodes are geometrical points located at randomly distributed positions which are labeled sequentially in increasing order of one of their co-ordinates. Starting with $N$ such points ... More

Scale-free network on a vertical planeJul 07 2003A scale-free network is grown in the Euclidean space with a global directional bias. On a vertical plane, nodes are introduced at unit rate at randomly selected points and a node is allowed to be connected only to the subset of nodes which are below it ... More

Fiber Bundle model with Highly Disordered Breaking ThresholdsFeb 18 2015We present a study of the fiber bundle model using equal load sharing dynamics where the breaking thresholds of the fibers are drawn randomly from a power law distribution of the form $p(b)\sim b^{-1}$ in the range $10^{-\beta}$ to $10^{\beta}$. Tuning ... More