Passive Sliders on Fluctuating Surfaces: Strong-Clustering States

We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalars driven by a Burgers fluid. Monte Carlo simulations on a discrete version of the problem in one dimension reveal that particles cluster very strongly: the two point density correlation function scales with the system size with a scaling function which diverges at small argument. Analytic results are obtained for the Sinai problem of random walkers in a quenched random landscape. This equilibrium system too has a singular scaling function which agrees remarkably with that for advected particles.Comment: To be published in Physical Review Letter

Search on a Hypercubic Lattice using a Quantum Random Walk: I. d>2

Random walks describe diffusion processes, where movement at every time step is restricted to only the neighbouring locations. We construct a quantum random walk algorithm, based on discretisation of the Dirac evolution operator inspired by staggered lattice fermions. We use it to investigate the spatial search problem, i.e. finding a marked vertex on a $d$-dimensional hypercubic lattice. The restriction on movement hardly matters for $d>2$, and scaling behaviour close to Grover's optimal algorithm (which has no restriction on movement) can be achieved. Using numerical simulations, we optimise the proportionality constants of the scaling behaviour, and demonstrate the approach to that for Grover's algorithm (equivalent to the mean field theory or the $d\to\infty$ limit). In particular, the scaling behaviour for $d=3$ is only about 25% higher than the optimal $d\to\infty$ value.Comment: 11 pages, Revtex (v2) Introduction and references expanded. Published versio

Privacy Preservation in Analyzing E-Health Records in Big Data Environment

Increased use of the Internet and progress in Cloud computing creates a large new datasets with increasing value to business. Data need to be processed by cloud applications are emerging much faster than the computing power. Hadoop-MapReduce has become powerful computation model to address these problems. Nowadays many cloud services require users to share their confidential data like electronic health records for research analysis or data mining, which brings privacy concerns. K-anonymity is one of the widely used privacy model. The scale of data in cloud applications rises extremely in agreement with the Big Data tendency, thereby creating it a dispute for conventional software tools to process such large scale data within an endurable lapsed time. As a consequence, it is a dispute for current anonymization techniques to preserve privacy on confidential extensible data sets due to their inadequacy of scalability. In this project, we propose an extensible two-phase approach to anonymize scalable data sets using dynamic MapReduce framework, Top Down Specialization (TDS) Algorithm and k-Anonymity privacy model. The resources are optimized via three key aspects. First, the under-utilization of map and reduce tasks is improved based on Dynamic Hadoop Slot Allocation (DHSA). Second, the performance tradeoff between the single job and a batch of jobs is balanced using the Speculative Execution Performance Balancing (SEPB). Third, data locality can be improved without any impact on fairness using Slot Pre Scheduling. Experimental evaluation results demonstrate that with this project, the scalability, efficiency and privacy of data sets can be significantly improved over existing approaches. DOI: 10.17762/ijritcc2321-8169.160413

SYNTHESIS AND INVITRO ANTIBACTERIAL SCREENING OF SOME NEW AZOMETHINES DERIVED FROM SULPHONAMIDES

Objective: The purpose of research was to synthesize the better antimicrobial compounds using different substituted aromatic aldehydes containing allyl and allyl oxy group are chosen as the starting material for synthesis of imines with sulphonamides helps to formation in presence of alcohol and acidic reagent. Methods: Reagents used in the present study were of analytical grade and solvents were used after distillation. All the melting points of the synthesized compounds were determined by open capillary and are uncorrected. The purity of the compounds was checked using pre coated TLC plates (MERCK) using n-hexane: ethyl acetate (8:2) solvent system. The developed chromatographic plates were visualized under UV at 254 nm. IR spectra were recorded using KBr on Perkin Elmer spectrophotometer. 1HNMR spectra in DMSO on a BRUKER FT-NMR instrument using TMS as internal standard and chemical shift values were expressed in ppm. Elemental analysis (CHN) was performed on Carlo Erba 1108. Results: A new series of azomethines was synthesized by condensation of different sulphonamide derivatives with substituted aromatic aldehydes containing allyl and allyloxy group. The structures of these products were confirmed by physical and spectral analysis. The compounds were assayed for antibacterial activity against different human pathogens such as E. coli, P. aeruginosa, S. aureus, B. subtilis. All the compounds exhibited considerable inhibition against the bacteria tested. Conclusion: Antibacterial activity observed for the synthesized azomethine compounds through the disc diffusion assay. The reference antibacterial drug was Streptomycin and Penicillin-G for E. coli, P. aeruginosa, S. aureus and B. subtilis. Synthesized imines show good biological activity and have the good yield

Search on a Hypercubic Lattice through a Quantum Random Walk: II. d=2

We investigate the spatial search problem on the two-dimensional square lattice, using the Dirac evolution operator discretised according to the staggered lattice fermion formalism. $d=2$ is the critical dimension for the spatial search problem, where infrared divergence of the evolution operator leads to logarithmic factors in the scaling behaviour. As a result, the construction used in our accompanying article \cite{dgt2search} provides an $O(\sqrt{N}\log N)$ algorithm, which is not optimal. The scaling behaviour can be improved to $O(\sqrt{N\log N})$ by cleverly controlling the massless Dirac evolution operator by an ancilla qubit, as proposed by Tulsi \cite{tulsi}. We reinterpret the ancilla control as introduction of an effective mass at the marked vertex, and optimise the proportionality constants of the scaling behaviour of the algorithm by numerically tuning the parameters.Comment: Revtex4, 5 pages (v2) Introduction and references expanded. Published versio

Cinematic itineraries and identities: Studying Bollywood tourism among the Hindustanis in the Netherlands

For decades, the ‘make-believe’ world of Bollywood has created elaborate imaginaries of India. A sizable part of its audience consists of diasporic communities, who not only consume Bollywood movies for entertainment but also as a way to stay connected with their Indian heritage. This study closely looks at one such diasporic community, namely the Dutch Hindustanis, investigating how Bollywood cinema affects their image of India, and how influential Bollywood cinema is in influencing their travel decisions to India. In-depth interviews indicate that Bollywood is a dominant cultural source for defining the respondents’ relationship with India. Moreover, the repeated consumption of Bollywood cinema stirs the desire to actually travel to India, seldom in search of ‘home’, but to visit sites associated with multiple Bollywood movies. Bollywood cinema being from their ‘distant homeland’ also incentivizes their travels to India thereby making it a meaningful experience. This study contributes to film (and) tourism research by introducing the concept of ‘cinematic itinerary’ to refer to these comprehensive film tourism practices

Category O over a deformation of the symplectic oscillator algebra

We discuss the representation theory of $H_f$, which is a deformation of the symplectic oscillator algebra $sp(2n) \ltimes h_n$, where $h_n$ is the ((2n+1)-dimensional) Heisenberg algebra. We first look at a more general setup, involving an algebra with a triangular decomposition. Assuming the PBW theorem, and one other hypothesis, we show that the BGG category $\mathcal{O}$ is abelian, finite length, and self-dual. We decompose $\mathcal{O}$ as a direct sum of blocks \calo(\la), and show that each block is a highest weight category. In the second part, we focus on the case $H_f$ for $n=1$, where we prove all these assumptions, as well as the PBW theorem.Comment: 42 pages, LaTeX, 11pt; Typos removed, references added, presentation improved, minor corrections and additions, Section 16 modified, and Standing Assumption added in Section 17; Final form, to appear in the Journal of Pure and Applied Algebr

Quantum mechanics gives stability to a Nash equilibrium

We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a quantized version of the RSP game for which the classical mixed NE becomes stable.Comment: Revised on referee's criticism, submitted to Physical Review

Lower extremity nodules in an immunocompetent woman

A 79-year-old otherwise healthy Puerto Rican woman is seen for a 3-month history of a rapidly enlarging mass on her right foot. The involved areas are occasionally tender, affecting her ability to walk. Physical examination reveals many confluent, deep red to purple, eroded, grapelike nodules affecting all aspects of the foot and extending to the distal part of the leg. The largest confluent mass is on the heel extending to the posterior side of the ankle. She has no history of immunosuppression

Flux Tube Model Signals for Baryon Correlations in Heavy Ion Collisions

The flux tube model offers a pictorial description of what happens during the deconfinement phase transition in QCD. The 3-point vertices of a flux tube network lead to formation of baryons upon hadronisation. Therefore, correlations in the baryon number distribution at the last scattering surface are related to the preceding pattern of the flux tube vertices, and provide a signature of the nearby deconfinement phase transition. I discuss the nature of the expected signal, which should be observable in heavy ion collisions at RHIC and LHC.Comment: LaTeX, 9 pages, 5 figures, (v2) Several arguments expanded for clarity, (v3) Minor typesetting changes, published versio