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Online Learning in Kernelized Markov Decision ProcessesMay 21 2018Jan 03 2019We consider online learning for minimizing regret in unknown, episodic Markov decision processes (MDPs) with continuous states and actions. We develop variants of the UCRL and posterior sampling algorithms that employ nonparametric Gaussian process priors ... More

A Dearth of Atomic Hydrogen in NGC1052-DF2Oct 11 2018Oct 31 2018The recently claimed discovery of an ultra-diffuse galaxy lacking dark matter has important implications for alternate theories to dark matter as well as models of galaxy formation within the $\Lambda$CDM context. In this letter, we present a deep Giant ... More

Angular Momentum Content in Gas Rich Dwarf GalaxiesFeb 09 2017We derive the specific baryonic angular momentum of five gas rich dwarf galaxies from HI kinematics complemented by stellar mass profiles. Since the gas mass of these galaxies is much larger than the stellar mass, the angular momentum can be determined ... More

A High Resolution Study of Carbon Radio Recombination Lines towards Cassiopeia AMar 13 2019Carbon Radio Recombination Lines trace the interface between molecular and atomic gas. We present GMRT observations of Carbon Radio Recombination Lines (CRRL), C$\alpha$244-C$\alpha$250 towards Cassiopeia A. We use a novel technique of stacking the emission ... More

On Kernelized Multi-armed BanditsApr 03 2017May 17 2017We consider the stochastic bandit problem with a continuous set of arms, with the expected reward function over the arms assumed to be fixed but unknown. We provide two new Gaussian process-based algorithms for continuous bandit optimization-Improved ... More

Misspecified Linear BanditsApr 23 2017We consider the problem of online learning in misspecified linear stochastic multi-armed bandit problems. Regret guarantees for state-of-the-art linear bandit algorithms such as Optimism in the Face of Uncertainty Linear bandit (OFUL) hold under the assumption ... More

Communicating the sum of sources over a networkMay 01 2008We consider a network (that is capable of network coding) with a set of sources and terminals, where each terminal is interested in recovering the sum of the sources. Considering directed acyclic graphs with unit capacity edges and independent, unit-entropy ... More

An Asymptotic Formula for Chebyshev Theta FunctionFeb 25 2019Let $\{p_n\}_{n\ge 1}$ be the sequence of primes and $\vartheta(x) = \sum_{p \leq x} \log p$, where $p$ runs over primes not exceeding $x$, be the Chebyshev $\vartheta$-function. In this note we derive lower and upper bounds for $\vartheta(p_n)/n$ in ... More

KnowBias: A Novel AI Method to Detect Polarity in Online ContentMay 02 2019We introduce KnowBias, a system for detecting the degree of political bias in textual content such as social media posts and news articles. In the space of scalable text classification, a common problem is domain mismatch, where easily accessible training ... More

Optimal sequential transmission over broadcast channel with nested feedbackApr 07 2010We consider the optimal design of sequential transmission over broadcast channel with nested feedback. Nested feedback means that the channel output of the outer channel is also available at the decoder of the inner channel. We model the communication ... More

Key distribution in PKC through QuantasMar 18 2010Cryptography literally means "The art & science of secret writing & sending a message between two parties in such a way that its contents cannot be understood by someone other than the intended recipient". and Quantum word is related with "Light". Thus, ... More

Thompson Sampling for Online Learning with Linear ExpertsNov 03 2013In this note, we present a version of the Thompson sampling algorithm for the problem of online linear generalization with full information (i.e., the experts setting), studied by Kalai and Vempala, 2005. The algorithm uses a Gaussian prior and time-varying ... More

Inclusion Matrices and the MDS ConjectureNov 11 2015Nov 16 2015Let F_q be a finite field of order q with characteristic p. An arc is an ordered family of vectors in (F_q)^k in which every subfamily of size k is a basis of (F_q)^k. The MDS conjecture, which was posed by Segre in 1955, states that if k <= q, then an ... More

Collective effects in intra-cellular molecular motor transport: coordination, cooperation and competetionMay 06 2006Molecular motors do not work in isolation {\it in-vivo}. We highlight some of the coordinations, cooperations and competitions that determine the collective properties of molecular motors in eukaryotic cells. In the context of traffic-like movement of ... More

Traffic flow of interacting self-driven particles: rails and trails, vehicles and vesiclesApr 11 2003One common feature of a vehicle, an ant and a kinesin motor is that they all convert chemical energy, derived from fuel or food, into mechanical energy required for their forward movement; such objects have been modelled in recent years as {\it self-driven} ... More

Kane model parameters and stochastic spin currentAug 27 2015The spin current and spin conductivity is computed through thermally driven stochastic process. By evaluating the Kramers equation and with the help of $\vec{k}.\vec{p}$ method we have studied the spin Hall scenario. Due to the thermal assistance, the ... More

Centenary of "Researches on irritability of plants" by Jagadis Chandra BoseOct 13 2013This note celebrates the centenary of Jagadis Chandra Bose's classic monograph entitled "Researches on irritability of plants".

Inclusion Matrices and the MDS ConjectureNov 11 2015Nov 06 2016Let F_q be a finite field of order q with characteristic p. An arc is an ordered family of at least k vectors in (F_q)^k in which every subfamily of size k is a basis of (F_q)^k. The MDS conjecture, which was posed by Segre in 1955, states that if k <= ... More

Machines of life: catalogue, stochastic process modeling, probabilistic reverse engineering and the PIs- from Aristotle to AlbertsMar 12 2012Mar 14 2012Molecular machines consist of either a single protein or a macromolecular complex composed of protein and RNA molecules. Just like their macroscopic counterparts, each of these nano-machines has an engine that "transduces" input energy into an output ... More

Consequences of the thermal dependence of spin orbit coupling in semiconductorsJul 24 2016The $\vec{k}.\vec{p}$ perturbation theory in semiconductor modifies some spin related parameters of the semi-conducting system. Furthermore, renormalization of the Kane model parameters occurs when temperature appears in the scenario. In this paper, we ... More

On $C^0$ Interior Penalty Method for Fourth Order Dirichlet Boundary Control Problem and an Alternative Error Analysis for Elliptic Cahn-Hilliard EquationAug 26 2018Nov 02 2018We revisit the energy space based Dirichlet boundary control problem governed by biharmonic equation investigated in \cite{CHOWDHURYDGcontrol2015}. The $L_{2}$ norm estimate in \cite{CHOWDHURYDGcontrol2015} is derived under an extra regularity assumption ... More

Comparing weak and projective measurements for quantum state tomography of a single-qubit systemNov 09 2017Nov 13 2017We explore the use of weak quantum measurements for single-qubit quantum state tomography processes. Weak measurements are those where the coupling between the qubit and the measurement apparatus is weak; this results in the quantum state being disturbed ... More

Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspectiveJul 25 2012Jun 04 2013A molecular motor is made of either a single macromolecule or a macromolecular complex. Just like their macroscopic counterparts, molecular motors "transduce" input energy into mechanical work. All the nano-motors considered here operate under isothermal ... More

Alice in a micro-factory: modeling materials and mechanisms of natural nano-machinesMay 16 2005Feb 19 2007Imagine an under water factory which is about $10 \mu$m long in each direction. The factory is filled with machines, each typically a few tens of nanometers long, which perform specfic tasks and operate in a well coordinated manner. A cell, the structural ... More

Immune Network: An Example of Complex Adaptive SystemsMar 03 1998The phenomenon of immunological memory has been known for a long time. But, the underlying mechanism is poorly understood. According to the theory of clonal selection the response to a specific invading antigen (e.g., bacteria) is offered by a specific ... More

Searching for targets on a model DNA: Effects of inter-segment hopping, detachment and re-attachmentAug 14 2007Jan 10 2010For most of the important processes in DNA metabolism, a protein has to reach a specific binding site on the DNA. The specific binding site may consist of just a few base pairs while the DNA is usually several millions of base pairs long. How does the ... More

100 years of Einstein's theory of Brownian motion: from pollen grains to protein trainsApr 24 2005Experimental verification of the theoretical predictions made by Albert Einstein in his paper, published in 1905, on the molecular mechanisms of Brownian motion established the existence of atoms. In the last 100 years discoveries of many facets of the ... More

Compactifying the relative Picard functor over degenerations of varietiesAug 27 2016Oct 25 2016Over a family of varieties with singular special fiber, the relative Picard functor (i.e. the moduli space of line bundles) may fail to be compact. We propose a stability condition for line bundles on reducible varieties that is aimed at compactifying ... More

Isotropy-Violation Diagnostics for $B$-mode Polarization Foregrounds to the Cosmic Microwave BackgroundApr 29 2016Sep 21 2016Isotropy-violation statistics can highlight polarized galactic foregrounds that contaminate primordial $B$-modes in the Cosmic Microwave Background (CMB). We propose a particular isotropy-violation test and apply it to polarized Planck 353 GHz data, constructing ... More

Active Ranking with Subset-wise PreferencesOct 23 2018We consider the problem of probably approximately correct (PAC) ranking $n$ items by adaptively eliciting subset-wise preference feedback. At each round, the learner chooses a subset of $k$ items and observes stochastic feedback indicating preference ... More

Approximate unitary designs give rise to quantum channels with super additive classical capacityFeb 27 2019In a breakthrough, Hastings showed that there exist quantum channels whose classical capacity is superadditive i.e. more classical information can be transmitted by quantum encoding strategies entangled across multiple channel uses as compared to unentangled ... More

Improved efficiency for explicit covering codes matching the sphere-covering boundFeb 20 2019Feb 21 2019A covering code is a subset of vectors over a finite field with the property that any vector in the space is close to some codeword in Hamming distance. Blinovsky [Bli90] showed that most linear codes have covering radius attaining the sphere-covering ... More

Improved Combinatorial Algorithms for Wireless Information FlowOct 07 2010The work of Avestimehr et al. '07 has recently proposed a deterministic model for wireless networks and characterized the unicast capacity C of such networks as the minimum rank of the adjacency matrices describing all possible source-destination cuts. ... More

Coded Caching with Low Subpacketization LevelsJul 27 2016Caching is popular technique in content delivery networks that allows for reductions in transmission rates from the content-hosting server to the end users. Coded caching is a generalization of conventional caching that considers the possibility of coding ... More

Modeling and Analysis of Walking Pattern for a Biped RobotAug 12 2015This paper addresses the design and development of an autonomous biped robot using master and worker combination of controllers. In addition, the bot is wirelessly controllable. The work presented here explains the walking pattern, system control and ... More

Sum-networks from incidence structures: construction and capacity analysisNov 07 2016A sum-network is an instance of a network coding problem over a directed acyclic network in which each terminal node wants to compute the sum over a finite field of the information observed at all the source nodes. Many characteristics of the well-studied ... More

Protection against link errors and failures using network codingMay 14 2009Aug 31 2010We propose a network-coding based scheme to protect multiple bidirectional unicast connections against adversarial errors and failures in a network. The network consists of a set of bidirectional primary path connections that carry the uncoded traffic. ... More

Rate and power allocation under the pairwise distributed source coding constraintJul 15 2008Jun 09 2009We consider the problem of rate and power allocation for a sensor network under the pairwise distributed source coding constraint. For noiseless source-terminal channels, we show that the minimum sum rate assignment can be found by finding a minimum weight ... More

PAC Battling Bandits in the Plackett-Luce ModelAug 12 2018Oct 05 2018We introduce the probably approximately correct (PAC) {Battling-Bandit} problem with the Plackett-Luce (PL) subset choice model---an online learning framework where at each trial the learner chooses a subset of $k$ arms from a fixed set of $n$ arms, and ... More

Fast Algorithm for Finding Unicast Capacity of Linear Deterministic Wireless Relay NetworksSep 30 2009The deterministic channel model for wireless relay networks proposed by Avestimehr, Diggavi and Tse `07 has captured the broadcast and inference nature of wireless communications and has been widely used in approximating the capacity of wireless relay ... More

Contextual Markov Decision Processes using Generalized Linear ModelsMar 14 2019We consider the recently proposed reinforcement learning (RL) framework of Contextual Markov Decision Processes (CMDP), where the agent has a sequence of episodic interactions with tabular environments chosen from a possibly infinite set. The parameters ... More

Background Modelling using Octree Color QuantizationDec 05 2014Mar 12 2015By assuming that the most frequently occuring color in a video or a region of a video I propose a new algorithm for detecting foreground objects in a video. The process of detecting the foreground objects is complicated because of the fact that there ... More

Online energy efficient packet scheduling for a common deadline with and without energy harvestingFeb 04 2016The problem of online packet scheduling to minimize the required conventional grid energy for transmitting a fixed number of packets given a common deadline is considered. The total number of packets arriving within the deadline is known, but the packet ... More

Most probable failure scenario in a model power grid with random power demandSep 28 2013We consider a simple system with a local synchronous generator and a load whose power consumption is a random process. The most probable scenario of system failure (synchronization loss) is considered, and it is argued that its knowledge is virtually ... More

A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operatorsMay 16 2019The aim of this paper is to offer an original and comprehensive spectral theoretical approach to the study of convergence to equilibrium, and in particular of the hypocoercivity phenomenon, for contraction semigroups in Hilbert spaces. Our approach rests ... More

Improved compression of network coding vectors using erasure decoding and list decodingJun 01 2010Practical random network coding based schemes for multicast include a header in each packet that records the transformation between the sources and the terminal. The header introduces an overhead that can be significant in certain scenarios. In previous ... More

Efficiently estimating average fidelity of a quantum logic gate using few classical random bitsJan 22 2019We give three new algorithms for efficient in-place estimation, without using ancilla qubits, of average fidelity of a quantum logic gate acting on a d-dimensional system using much fewer random bits than what was known so far. Previous approaches for ... More

Assessing the Effectiveness of Attack Detection at a Hackfest on Industrial Control SystemsSep 13 2018A hackfest named SWaT Security Showdown (S3) has been organized consecutively for two years. S3 has enabled researchers and practitioners to assess the effectiveness of methods and products aimed at detecting cyber attacks launched in real-time on an ... More

Limits on quantum deletion from no signaling principleMay 19 2017One of the fundamental restrictions that quantum mechanics imposes is the "No deletion Theorem" which tells us that given two identical unknown quantum states, it is impossible to delete one of them. But nevertheless if not perfect, people have tried ... More

Active Contour Models for Manifold Valued Image SegmentationJun 26 2013Nov 11 2013Image segmentation is the process of partitioning a image into different regions or groups based on some characteristics like color, texture, motion or shape etc. Active contours is a popular variational method for object segmentation in images, in which ... More

A New Window into Stochastic Gravitational Wave BackgroundDec 07 2011Sep 23 2013A stochastic gravitational wave background (SGWB) would gravitationally lens the cosmic microwave background (CMB) photons. We find that the lensing due to gravitational waves(GW) is more efficient as compared to lensing due to scalar density perturbations. ... More

node2vec: Scalable Feature Learning for NetworksJul 03 2016Prediction tasks over nodes and edges in networks require careful effort in engineering features used by learning algorithms. Recent research in the broader field of representation learning has led to significant progress in automating prediction by learning ... More

On Computation Rates for Arithmetic SumJan 26 2016For zero-error function computation over directed acyclic networks, existing upper and lower bounds on the computation capacity are known to be loose. In this work we consider the problem of computing the arithmetic sum over a specific directed acyclic ... More

Capacity of Sum-networks for Different Message AlphabetsApr 21 2015A sum-network is a directed acyclic network in which all terminal nodes demand the `sum' of the independent information observed at the source nodes. Many characteristics of the well-studied multiple-unicast network communication problem also hold for ... More

Replication based storage systems with local repairMay 24 2013We consider the design of regenerating codes for distributed storage systems that enjoy the property of local, exact and uncoded repair, i.e., (a) upon failure, a node can be regenerated by simply downloading packets from the surviving nodes and (b) the ... More

A Semi-Definite Programming Approach to Stability Analysis of Linear Partial Differential EquationsMar 19 2017Sep 16 2017We consider the stability analysis of a large class of linear 1-D PDEs with polynomial data. This class of PDEs contains, as examples, parabolic and hyperbolic PDEs, PDEs with boundary feedback and systems of in-domain/boundary coupled PDEs. Our approach ... More

Cross Layer Adaptation for QoS in WSNOct 07 2011In this paper, we propose QoS aware MAC protocol for Wire- less Sensor Networks and its cross layer extension to network layer for providing QoS in delay sensitive WSN scenarios. In WSNs, there can be two types of traffic one is event driven traffic which ... More

Sufficient statistics for linear control strategies in decentralized systems with partial history sharingMar 11 2014In decentralized control systems with linear dynamics, quadratic cost, and Gaussian disturbance (also called decentralized LQG systems) linear control strategies are not always optimal. Nonetheless, linear control strategies are appealing due to analytic ... More

A Decision Theoretic Framework for Real-Time CommunicationNov 06 2005We consider a communication system in which the outputs of a Markov source are encoded and decoded in \emph{real-time} by a finite memory receiver, and the distortion measure does not tolerate delays. The objective is to choose designs, i.e. real-time ... More

Renewal Monte Carlo: Renewal theory based reinforcement learningApr 03 2018In this paper, we present an online reinforcement learning algorithm, called Renewal Monte Carlo (RMC), for infinite horizon Markov decision processes with a designated start state. RMC is a Monte Carlo algorithm and retains the advantages of Monte Carlo ... More

Linear Quadratic Mean Field Teams: Optimal and Approximately Optimal Decentralized SolutionsAug 31 2016Sep 18 2018We consider team optimal control of decentralized systems with linear dynamics, quadratic costs, and arbitrary disturbance that consist of multiple sub-populations with exchangeable agents (i.e., exchanging two agents within the same sub-population does ... More

Fundamental limits of remote estimation of autoregressive Markov processes under communication constraintsMay 18 2015Jun 11 2016The fundamental limits of remote estimation of Markov processes under communication constraints are presented. The remote estimation system consists of a sensor and an estimator. The sensor observes a discrete-time Markov process, which is a symmetric ... More

Distortion-transmission trade-off in real-time transmission of Markov sourcesDec 10 2014The problem of optimal real-time transmission of a Markov source under constraints on the expected number of transmissions is considered, both for the discounted and long term average cases. This setup is motivated by applications where transmission is ... More

Non-classical Tauberian and Abelian type criteria for the moment problemApr 28 2018The aim of this paper is to provide some new criteria for the Stieltjes moment problem. We first give a Tauberian type criterion for moment indeterminacy that is expressed purely in terms of the asymptotic behavior of the moment sequence (and its extension ... More

Real-space computation of $E$/$B$-mode maps I: Formalism, Compact Kernels, and Polarized FilamentsJul 31 2018We derive full-sky, real-space operators that convert between polarization Stokes Q/U parameters and the coordinate-independent scalar E/B modes that are widely used in Cosmic Microwave Background (CMB) and cosmic shear analysis. We also derive real space ... More

Packet Scheduling in Switches with Target Outflow ProfilesDec 29 2010The problem of packet scheduling for traffic streams with target outflow profiles traversing input queued switches is formulated in this paper. Target outflow profiles specify the desirable inter-departure times of packets leaving the switch from each ... More

On the multiple unicast capacity of 3-source, 3-terminal directed acyclic networksFeb 18 2013We consider the multiple unicast problem with three source-terminal pairs over directed acyclic networks with unit-capacity edges. The three $s_i-t_i$ pairs wish to communicate at unit-rate via network coding. The connectivity between the $s_i - t_i$ ... More

A note on the multiple unicast capacity of directed acyclic networksJan 17 2011Jan 24 2011We consider the multiple unicast problem under network coding over directed acyclic networks with unit capacity edges. There is a set of n source-terminal (s_i - t_i) pairs that wish to communicate at unit rate over this network. The connectivity between ... More

Communicating the sum of sources over a networkJan 29 2010Jan 22 2013We consider the network communication scenario, over directed acyclic networks with unit capacity edges in which a number of sources $s_i$ each holding independent unit-entropy information $X_i$ wish to communicate the sum $\sum{X_i}$ to a set of terminals ... More

A Novel Active Contour Model for Texture SegmentationJun 28 2013Texture is intuitively defined as a repeated arrangement of a basic pattern or object in an image. There is no mathematical definition of a texture though. The human visual system is able to identify and segment different textures in a given image. Automating ... More

Coded Caching for Networks with the Resolvability PropertyMay 04 2016Coded caching is a recently proposed technique for dealing with large scale content distribution over the Internet. As in conventional caching, it leverages the presence of local caches at the end users. However, it considers coding in the caches and/or ... More

On the Plethora of Representations Arising in Noncommutative Quantum Mechanics and An Explicit Construction of Noncommutative 4-toriJul 04 2015Oct 20 2016We construct a two parameter family of unitarily equivalent irreducible representations of the triply extended group $\g$ of translations of $\mathbb{R}^{4}$ associated with one of its 4-dimensional coadjoint orbits and show how a continuous 1-parameter ... More

Fine-grained uncertainty relation and entropic uncertainty relation in the presence of quantum memoryJan 23 2012Apr 20 2012In presence of quantum memory [M. Berta, M. Christandl, R. Colbeck, J.M. Renes, and R. Renner, Nature Phys. 6, 659 (2010)] the lower bound of entropic uncertainty relation depends on amount of entanglement between the particle (on which two incompatible ... More

Low-complexity Decoding is Asymptotically Optimal in the SIMO MACApr 09 2014A single input multiple output (SIMO) multiple access channel, with a large number of transmitters sending symbols from a constellation to the receiver of a multi-antenna base station, is considered. The fundamental limits of joint decoding of the signals ... More

Evolutionary ecology in-silico: Does mathematical modelling help in understanding the "generic" trends?Apr 16 2005Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time scales, several ... More

Computer simulations of history of life: speciation, emergence of complex species from simpler organisms, and extinctionsNov 04 2003We propose a generic model of eco-systems, with a {\it hierarchical} food web structure. In our computer simulations we let the eco-system evolve continuously for so long that that we can monitor extinctions as well as speciations over geological time ... More

Interacting Generalised Cosmic Chaplygin gas in Loop quantum cosmology: A singularity free universeApr 13 2012In this work we investigate the background dynamics when dark energy is coupled to dark matter with a suitable interaction in the universe described by Loop quantum cosmology. Dark energy in the form of Generalised Cosmic Chaplygin gas is considered. ... More

Theory for strength and stability of an unusual "ligand-receptor" bond: a microtubule attached to a wall by molecular motor tethersOct 16 2016A microtubule (MT) is a tubular stiff filament formed by a hierarchical organization of tubulin proteins. We develop a stochastic kinetic model for studying the strength and stability of a pre-formed attachment of a MT with a rigid wall where the MT is ... More

Quantum transport in ferromagnetic graphene: Role of Berry curvatureFeb 05 2016The magnetic effects in ferromagnetic graphene basically depend on the principle of exchange interaction when ferromagntism is induced by depositing an insulator layer on graphene. Here we deal with the consequences of non-uniformity in the exchange coupling ... More

Estimating the Sunyaev - Zel'dovich signal from quasar hosts using a Halo Occupation Distribution based approachDec 11 2015The Sunyaev-Zeldovich (SZ) effect is a spectral distortion in the Cosmic Microwave Background (CMB), caused due to up-scattering of CMB photons by high energy electron distributions. The largest SZ distortion in the CMB is caused by the hot electrons ... More

Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breakingMar 27 2015Jun 10 2015We determine the next-to-leading order renormalization group equations for the Two-Higgs-Doublet model with a softly broken $Z_2$ symmetry and CP conservation in the scalar potential. We use them to identify the parameter regions which are stable up to ... More

Theory of dynamic force spectroscopy for kinetochore-microtubule attachments: rupture force distributionMay 28 2016Application of pulling force, under force-clamp conditions, to kinetochore-microtubule attachments {\it in-vitro} revealed a catch-bond-like behavior. In an earlier paper ({\it Sharma et al. Phys. Biol. (2014)} the physical origin of this apparently counter-intuitive ... More

Effect of non-uniform exchange field in ferromagnetic grapheneFeb 16 2015We have presented here the consequences of the non-uniform exchange field on the spin transport issues in spin chiral configuration of ferromagnetic graphene. Taking resort to the spin orbit coupling (SOC) term and non-uniform exchange coupling term we ... More

Single-enzyme kinetics with branched pathways: exact theory and series expansionDec 10 2014The progress of the successive rounds of catalytic conversion of substrates into product(s) by a single enzyme is characterized by the distribution of turnover times. Establishing the most general form of dependence of this distribution on the substrate ... More

Stochastic kinetics of a single headed motor protein: dwell time distribution of KIF1AApr 25 2010Mar 15 2011KIF1A, a processive single headed kinesin superfamily motor, hydrolyzes Adenosine triphosphate (ATP) to move along a filamentous track called microtubule. The stochastic movement of KIF1A on the track is characterized by an alternating sequence of pause ... More

Transcriptional bursts: a unified model of machines and mechanismsApr 08 2008Nov 28 2008{\it Transcription} is the process whereby RNA molecules are polymerized by molecular machines, called RNA polymerase (RNAP), using the corresponding DNA as the template. Recent {\it in-vivo} experiments with single cells have established that transcription ... More

A Characterization of Consistent Digital Line Segments in Two DimensionsApr 28 2015May 01 2015Our concern is the digitalization of line segments in two dimensions as considered by Chun et al.[Discrete Comput. Geom., 2009] and Christ et al.[Discrete Comput. Geom., 2012]. The key property that differentiates the research of Chun et al. and Christ ... More

Evolving eco-system: a network of networksMay 27 2004Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which corresponds to an individual-based ... More

Slow scrambling in disordered quantum systemsAug 10 2016Recent work has studied the growth of commutators as a probe of chaos and information scrambling in quantum many-body systems. In this work we study the effect of static disorder on the growth of commutators in a variety of contexts. We find generically ... More

RNA polymerase motors on DNA track: effects of traffic congestion on RNA synthesisJun 14 2007Aug 08 2007RNA polymerase (RNAP) is an enzyme that synthesizes a messenger RNA (mRNA) strand which is complementary to a single-stranded DNA template. From the perspective of physicists, an RNAP is a molecular motor that utilizes chemical energy input to move along ... More

The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metalsMay 11 2016Nov 23 2016This article is based on a talk by S.S. at the Nambu Memorial Symposium at the University of Chicago. We review ideas on the nature of the metallic states of the hole-doped cuprate high temperature superconductors, with an emphasis on the connections ... More

The CWKB approach to non-reflecting potential and cosmological implicationsJul 02 2002We discuss the method of calculating the reflection coefficient using complex trajectory WKB (CWKB) approximation. This enables us to give an interpretation of non-reflecting nature of the potential under certain conditions and clarify some points, reported ... More

A parallel sampling based clusteringDec 05 2014The problem of automatically clustering data is an age old problem. People have created numerous algorithms to tackle this problem. The execution time of any of this algorithm grows with the number of input points and the number of cluster centers required. ... More

Did we miss the "melting" of partons in pp collisions?May 16 2019We present the results of the simulation for the evolution of the transverse momentum spectra for the jetty and underlying parts of events in the function of the event multiplicity in pp collisions at 13 TeV. The main characteristics of the approach are ... More

The novel metallic states of the cuprates: topological Fermi liquids and strange metalsMay 11 2016Jul 17 2016This article is based on a talk by S.S. at the Nambu Memorial Symposium at the University of Chicago. We review ideas on the nature of the metallic states of the hole-doped cuprate high temperature superconductors, with an emphasis on the connections ... More

Spin transport in tilted electron vortex beamsMar 10 2016In this paper we have enlightened the spin related issues of tilted Electron vortex beams. We have shown that in the skyrmionic model of electron we can have the spin Hall current considering the tilted type of electron vortex beam. We have considered ... More

Effect of cosmic string on spin dynamicsNov 07 2014In the present paper, we have investigated the role of cosmic string on spin current and Hall electric field. Due to the background cosmic string, the modified electric field of the system generates renormalized spin orbit coupling, which induces a modified ... More

Effect of spin rotation coupling on spin transportSep 05 2013We have studied the spin rotation coupling(SRC) as an ingredient to explain different spin related issues. This special kind of coupling can play the role of a Dresselhaus like coupling in certain conditions. Consequently, one can control the spin splitting, ... More

Inertial effect on spin orbit coupling and spin transportFeb 05 2013May 20 2013We theoretically study the renormalization of inertial effects on the spin dependent transport of conduction electrons in a semiconductor by taking into account the interband mixing on the basis of k.p perturbation theory. In our analysis, for the generation ... More

The effect of inertia on the Dirac electron, the spin Hall current and the momentum space Berry curvatureJan 23 2013We have studied the spin dependent force and the associated momentum space Berry curvature in an accelerating system. The results are derived by taking into consideration the non relativistic limit of a generally covariant Dirac equation under the presence ... More