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Diffusive Molecular Communication in a Biological Spherical Environment with Partially Absorbing BoundaryOct 05 2018Nov 13 2018Diffusive molecular communication (DMC) is envisioned as a promising approach to help realize healthcare applications within bounded biological environments. In this paper, a DMC system within a biological spherical environment is considered, inspired ... More

Algorithm for Mesoscopic Advection-DiffusionMay 31 2018Sep 11 2018In this paper, an algorithm is presented to calculate the transition rates between adjacent mesoscopic subvolumes in the presence of flow and diffusion. These rates can be integrated in stochastic simulations of reaction-diffusion systems that follow ... More

End-to-End Machine Learning for Experimental Physics: Using Simulated Data to Train a Neural Network for Object Detection in Video MicroscopyAug 13 2019We demonstrate a method for training a convolutional neural network with simulated images for usage on real-world experimental data. Modern machine learning methods require large, robust training data sets to generate accurate predictions. Generating ... More

Asynchronous Peak Detection for Demodulation in Molecular CommunicationNov 02 2016Molecular communication requires low-complexity symbol detection algorithms to deal with the many sources of uncertainty that are inherent in these channels. This paper proposes two variants of a high-performance asynchronous peak detection algorithm ... More

A Novel A Priori Simulation Algorithm for Absorbing Receivers in Diffusion-Based Molecular Communication SystemsSep 04 2018Dec 16 2018A novel a priori Monte Carlo (APMC) algorithm is proposed to accurately simulate the molecules absorbed at spherical receiver(s) with low computational complexity in diffusion-based molecular communication (MC) systems. It is demonstrated that the APMC ... More

Optimal Receiver Design for Diffusive Molecular Communication With Flow and Additive NoiseAug 01 2013Jul 07 2014In this paper, we perform receiver design for a diffusive molecular communication environment. Our model includes flow in any direction, sources of information molecules in addition to the transmitter, and enzymes in the propagation environment to mitigate ... More

Improving Receiver Performance of Diffusive Molecular Communication with EnzymesMay 08 2013Dec 16 2013This paper studies the mitigation of intersymbol interference in a diffusive molecular communication system using enzymes that freely diffuse in the propagation environment. The enzymes form reaction intermediates with information molecules and then degrade ... More

Channel Impulse Responses in Diffusive Molecular Communication with Spherical TransmittersApr 16 2016Sep 10 2016Molecular communication is an emerging paradigm for systems that rely on the release of molecules as information carriers. Communication via molecular diffusion is a popular strategy that is ubiquitous in nature and very fast over distances on the order ... More

Bounds on Distance Estimation via Diffusive Molecular CommunicationApr 11 2014Oct 15 2014This paper studies distance estimation for diffusive molecular communication. The Cramer-Rao lower bound on the variance of the distance estimation error is derived. The lower bound is derived for a physically unbounded environment with molecule degradation ... More

Analysis and Design of Two-Hop Diffusion-Based Molecular Communication NetworksApr 22 2014Oct 09 2014In this paper, we consider a two-hop molecular communication network consisting of one nanotransmitter, one nanoreceiver, and one nanotransceiver acting as a relay. We consider two different schemes for relaying to improve the range of diffusion-based ... More

Analysis and Design of Multi-Hop Diffusion-Based Molecular Communication NetworksOct 21 2014In this paper, we consider a multi-hop molecular communication network consisting of one nanotransmitter, one nanoreceiver, and multiple nanotransceivers acting as relays. We consider three different relaying schemes to improve the range of diffusion-based ... More

Improving Diffusion-Based Molecular Communication with Unanchored EnzymesMay 08 2013In this paper, we propose adding enzymes to the propagation environment of a diffusive molecular communication system as a strategy for mitigating intersymbol interference. The enzymes form reaction intermediates with information molecules and then degrade ... More

On the Statistics of Reaction-Diffusion Simulations for Molecular CommunicationMay 19 2015A molecule traveling in a realistic propagation environment can experience stochastic interactions with other molecules and the environment boundary. The statistical behavior of some isolated phenomena, such as dilute unbounded molecular diffusion, are ... More

A New Simulation Algorithm for Absorbing Receiver in Molecular CommunicationMar 13 2018The simulation of diffusion-based molecular communication systems with absorbing receivers often requires a high computational complexity to produce accurate results. In this work, a new a priori Monte Carlo (APMC) algorithm is proposed to precisely simulate ... More

Joint Channel Parameter Estimation via Diffusive Molecular CommunicationOct 15 2014Jun 23 2015The design and analysis of diffusive molecular communication systems generally requires knowledge of the environment's physical and chemical properties. Furthermore, prospective applications might rely on the timely detection of changes in the local system ... More

Diffusive Molecular Communication with Disruptive FlowsSep 20 2013Feb 11 2014In this paper, we study the performance of detectors in a diffusive molecular communication environment where steady uniform flow is present. We derive the expected number of information molecules to be observed in a passive spherical receiver, and determine ... More

Multi-Scale Stochastic Simulation for Diffusive Molecular CommunicationOct 15 2014May 19 2015Recently, hybrid models have emerged that combine microscopic and mesoscopic regimes in a single stochastic reaction-diffusion simulation. Microscopic simulations track every individual molecule and are generally more accurate. Mesoscopic simulations ... More

A Unifying Model for External Noise Sources and ISI in Diffusive Molecular CommunicationOct 22 2013Jul 07 2014This paper considers the impact of external noise sources, including interfering transmitters, on a diffusive molecular communication system, where the impact is measured as the number of noise molecules expected to be observed at a passive receiver. ... More

Using Dimensional Analysis to Assess Scalability and Accuracy in Molecular CommunicationMay 08 2013In this paper, we apply dimensional analysis to study a diffusive molecular communication system that uses diffusing enzymes in the propagation environment to mitigate intersymbol interference. The enzymes bind to information molecules and then degrade ... More

Multipliers and integration operators between conformally invariant spacesApr 03 2019In this paper we are concerned with two classes of conformally invariant spaces of analytic functions in the unit disc $\D$, the Besov spaces $B^p$ $(1\le p<\infty )$ and the $Q_s$ spaces $(0<s<\infty )$. Our main objective is to characterize for a given ... More

Two-dimensional Artin groups with CAT(0) dimension threeDec 13 2000Mar 08 2002We exhibit 3-generator Artin groups which have finite 2-dimensional Eilenberg-Mac Lane spaces, but which do not act properly discontinuously by semi-simple isometries on a 2-dimensional CAT(0) complex. We prove that infinitely many of these groups are ... More

A Hankel matrix acting on spaces of analytic functionsJun 12 2017If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge 0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ... More

A generalized Hilbert operator acting on conformally invariant spacesDec 25 2016May 16 2017If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu_{n, k})_{n,k\ge 0}$ with entries $\mu_{n, k}=\mu_{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ... More

Factoring euclidean isometriesDec 30 2013Every isometry of a finite dimensional euclidean space is a product of reflections and the minimum length of a reflection factorization defines a metric on its full isometry group. In this article we identify the structure of intervals in this metric ... More

On the Analysis of Bacterial Cooperation with a Characterization of 2D Signal PropagationDec 01 2018The exchange of small molecular signals within microbial populations is generally referred to as quorum sensing (QS). QS is ubiquitous in nature and enables microorganisms to respond to fluctuations of living environments by working together. In this ... More

Active Versus Passive: Receiver Model Transforms for Diffusive Molecular CommunicationApr 15 2016Sep 10 2016This paper presents an analytical comparison of active and passive receiver models in diffusive molecular communication. In the active model, molecules are absorbed when they collide with the receiver surface. In the passive model, the receiver is a virtual ... More

Analyzing Large-Scale Multiuser Molecular Communication via 3D Stochastic GeometryApr 23 2017Sep 03 2017Information delivery using chemical molecules is an integral part of biology at multiple distance scales and has attracted recent interest in bioengineering and communication theory. Potential applications include cooperative networks with a large number ... More

Expected Density of Cooperative Bacteria in a 2D Quorum Sensing Based Molecular Communication SystemDec 01 2018May 04 2019The exchange of small molecular signals within microbial populations is generally referred to as quorum sensing (QS). QS is ubiquitous in nature and enables microorganisms to respond to fluctuations in living environments by working together. In this ... More

Diffusive Mobile Molecular Communications Over Time-Variant ChannelsFeb 22 2017This letter introduces a formalism for modeling time-variant channels for diffusive molecular communication systems. In particular, we consider a fluid environment where one transmitter nano-machine and one receiver nano-machine are subjected to Brownian ... More

Modeling Interference-Free Neuron Spikes with Optogenetic StimulationMay 14 2019This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich neuron model provides an efficient and biologically plausible method to track a cortical neuron's ... More

Timing Control of Single Neuron Spikes with Optogenetic StimulationOct 31 2017Feb 13 2018This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich neuron model provides an efficient and biologically plausible method to track a cortical neuron's ... More

Molecular Information Delivery in Porous MediaMar 09 2019Information delivery via molecular signals is abundant in nature and potentially useful for industry sensing. Many propagation channels (e.g., tissue membranes and catalyst beds) contain porous medium materials and the impact this has on communication ... More

Molecular Information Delivery in Porous MediaMar 09 2019Jul 10 2019Information delivery via molecular signals is abundant in nature and potentially useful for industry sensing. Many propagation channels (e.g., tissue membranes and catalyst beds) contain porous medium materials and the impact this has on communication ... More

The role of tachysterol in vitamin D photosynthesis - A non-adiabatic molecular dynamics studyJul 19 2017To investigate the role of tachysterol in the photophysical/chemical regulation of vitamin D photosynthesis, we studied its electronic absorption properties and excited state dynamics using time-dependent density functional theory (TDDFT), coupled cluster ... More

Amplify-and-Forward Relaying in Two-Hop Diffusion-Based Molecular Communication NetworksApr 14 2015This paper studies a three-node network in which an intermediate nano-transceiver, acting as a relay, is placed between a nano-transmitter and a nano-receiver to improve the range of diffusion-based molecular communication. Motivated by the relaying protocols ... More

Channel Modeling for Diffusive Molecular Communication - A Tutorial ReviewDec 13 2018Molecular communication (MC) is a new communication engineering paradigm where molecules are employed as information carriers. MC systems are expected to enable new revolutionary applications such as sensing of target substances in biotechnology, smart ... More

Simplified Cooperative Detection for Multi-Receiver Molecular CommunicationAug 22 2017Aug 26 2017Diffusion-based molecular communication (MC) systems experience significant reliability losses. To boost the reliability, an MC scheme where multiple receivers (RXs) work cooperatively to decide the signal of a transmitter (TX) by sending the same type ... More

3D Stochastic Geometry Model for Large-Scale Molecular Communication SystemsMay 26 2016Aug 03 2016Information delivery using chemical molecules is an integral part of biology at multiple distance scales and has attracted recent interest in bioengineering and communication. The collective signal strength at the receiver (i.e., the expected number of ... More

Tracking Human Behavioural Consistency by Analysing Periodicity of Household Water ConsumptionMay 13 2019People are living longer than ever due to advances in healthcare, and this has prompted many healthcare providers to look towards remote patient care as a means to meet the needs of the future. It is now a priority to enable people to reside in their ... More

Morse theory and conjugacy classes of finite subgroupsSep 24 2007We construct a CAT(0) group containing a finitely presented subgroup with infinitely many conjugacy classes of finite-order elements. Unlike previous examples (which were based on right-angled Artin groups) our ambient CAT(0) group does not contain any ... More

Super-exponential distortion of subgroups of CAT(-1) groupsJan 31 2007We construct 2-dimensional CAT(-1) groups which contain free subgroups with arbitrary iterated exponential distortion, and with distortion higher than any iterated exponential.

Effect of Local Population Uncertainty on Cooperation in BacteriaAug 21 2017Bacteria populations rely on mechanisms such as quorum sensing to coordinate complex tasks that cannot be achieved by a single bacterium. Quorum sensing is used to measure the local bacteria population density, and it controls cooperation by ensuring ... More

Modeling and Simulation of Molecular Communication Systems with a Reversible Adsorption ReceiverJan 04 2016Jun 22 2016In this paper, we present an analytical model for the diffusive molecular communication (MC) system with a reversible adsorption receiver in a fluid environment. The widely used concentration shift keying (CSK) is considered for modulation. The time-varying ... More

A spatial analysis of multivariate output from regional climate modelsApr 14 2011Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output. However, there are ... More

Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groupsFeb 27 2011We introduce the class of perturbed right-angled Artin groups. These are constructed by gluing Bieri double groups into standard right-angled Artin groups. As a first application of this construction we obtain families of CAT(0) groups containing finitely ... More

Topological Analysis and Mitigation Strategies for Cascading Failures in Power Grid NetworksDec 21 2012Recently, there has been a growing concern about the overload status of the power grid networks, and the increasing possibility of cascading failures. Many researchers have studied these networks to provide design guidelines for more robust power grids. ... More

Using Game Theory for Real-Time Behavioural Dynamics in Microscopic Populations with Noisy SignallingNov 13 2017Feb 04 2019This paper introduces the application of game theory to understand noisy real-time signalling and the resulting behavioural dynamics in microscopic populations such as bacteria and other cells. It presents a bridge between the fields of molecular communication ... More

Maximum Likelihood Detection for Cooperative Molecular CommunicationApr 19 2017Mar 03 2018In this paper, symbol-by-symbol maximum likelihood (ML) detection is proposed for a cooperative diffusion-based molecular communication (MC) system. In this system, a fusion center (FC) chooses the transmitter's symbol that is more likely, given the likelihood ... More

The Unreasonable Effectiveness of Blood Pressure Measurement: Molecular Communication in Biological SystemsOct 21 2014Arterial blood pressure is a key vital sign for the health of the human body. As such, accurate and reproducible measurement techniques are necessary for successful diagnosis. Blood pressure measurement is an example of molecular communication in regulated ... More

Molecular Communication with a Reversible Adsorption ReceiverNov 30 2015Apr 07 2016In this paper, we present an analytical model for a diffusive molecular communication (MC) system with a reversible adsorption receiver in a fluid environment. The time-varying spatial distribution of the information molecules under the reversible adsorption ... More

Modeling Duct Flow for Molecular CommunicationNov 04 2017Feb 05 2019Active transport such as fluid flow is sought in molecular communication to extend coverage, improve reliability, and mitigate interference. Flow models are often over-simplified, assuming one-dimensional diffusion with constant drift. However, diffusion ... More

Convex Optimization of Distributed Cooperative Detection in Multi-Receiver Molecular CommunicationNov 17 2016In this paper, the error performance achieved by cooperative detection among K distributed receivers in a diffusion-based molecular communication (MC) system is analyzed and optimized. In this system, the receivers first make local hard decisions on the ... More

Simulating with AcCoRD: Actor-Based Communication via Reaction-DiffusionDec 01 2016This paper introduces AcCoRD (Actor-based Communication via Reaction-Diffusion). AcCoRD is a sandbox reaction-diffusion solver designed for the study of molecular communication systems. It uses a hybrid of microscopic and mesoscopic simulation models ... More

Distributed Cooperative Detection for Multi-Receiver Molecular CommunicationApr 13 2016In this paper, a cooperative diffusion-based molecular communication system is considered where distributed receivers collaboratively determine a transmitter's signal. In this system, the receivers first make local hard decisions about the current transmitted ... More

Symbol-by-Symbol Maximum Likelihood Detection for Cooperative Molecular CommunicationJan 09 2018Dec 01 2018In this paper, symbol-by-symbol maximum likelihood (ML) detection is proposed for a cooperative diffusion-based molecular communication (MC) system. In this system, the transmitter (TX) sends a common information symbol to multiple receivers (RXs) and ... More

Simulating with AcCoRD: Actor-Based Communication via Reaction-DiffusionDec 01 2016Feb 02 2017This paper introduces AcCoRD (Actor-based Communication via Reaction-Diffusion) version 1.0. AcCoRD is a sandbox reaction-diffusion solver designed for the study of molecular communication systems. It uses a hybrid of microscopic and mesoscopic simulation ... More

Convex Optimization of Distributed Cooperative Detection in Multi-Receiver Molecular CommunicationNov 17 2016Mar 03 2018In this paper, the error performance achieved by cooperative detection among K distributed receivers in a diffusion-based molecular communication (MC) system is analyzed and optimized. In this system, the receivers first make local hard decisions on the ... More

H-infinity is not E-infinityOct 19 2009Apr 19 2014We provide an example of a spectrum over S^0 with an H_\infty structure which does not rigidify to an E_3 structure. It follows that in the category of spectra over S^0 not every H_\infty ring spectrum comes from an underlying E_\infty ring spectrum. ... More

Mean Lipschitz spaces and a generalized Hilbert operatorJul 27 2017If $\mu $ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_\mu $ be the Hankel matrix $\mathcal H_\mu =(\mu _{n, k})_{n,k\ge 0}$ with entries $\mu _{n, k}=\mu _{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $\mu_n$ denotes the moment ... More

Kaon-nucleon and D-nucleon scattering in the quark model, including spin-orbit interactionsMar 01 2002Interactions of charmed and strange mesons with baryonic matter can be calculated in the nonrelativistic quark potential model. For KN scattering data exists, and the theoretical results for S-waves are in approximate agreement with experiment. Here we ... More

Semi-convection: What is the underlying physical context?Jul 13 2015Stellar conditions leading to a possible semi-convective mixing are discussed in three relevant cases: (1) low mass MS stars in which the CNO cycle takes progressively the lead over the PP chain due to the increase in temperature as core hydrogen burning ... More

The Variable Pulsar Wind Nebula of PSR J1809-1917Sep 12 2018PSR J1809-1917 is a young ($\tau=51$ kyr) energetic ($\dot{E}=1.8\times10^{36}$ erg s$^{-1}$) radio pulsar powering a pulsar wind nebula (PWN). We report on the results of three Chandra X-ray Observatory observations which show that the PWN consists of ... More

Internet of Things-aided Smart Grid: Technologies, Architectures, Applications, Prototypes, and Future Research DirectionsApr 28 2017Apr 26 2019Traditional power grids are being transformed into Smart Grids (SGs) to address the issues in existing power system due to uni-directional information flow, energy wastage, growing energy demand, reliability and security. SGs offer bi-directional energy ... More

Understanding the evolution of multimedia content in the Internet through BitTorrent glassesMay 01 2017Today's Internet traffic is mostly dominated by multimedia content and the prediction is that this trend will intensify in the future. Therefore, main Internet players, such as ISPs, content delivery platforms (e.g. Youtube, Bitorrent, Netflix, etc) or ... More

The T-algebra spectral sequence: Comparisons and applicationsAug 27 2013Apr 22 2014In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra. In this paper we study special cases of this spectral sequence ... More

False Discovery Rates to Detect Signals from Incomplete Spatially Aggregated DataMay 15 2019There are a number of ways to test for the absence/presence of a spatial signal in a completely observed fine-resolution image. One of these is a powerful nonparametric procedure called EFDR (Enhanced False Discovery Rate). A drawback of EFDR is that ... More

Mean field solutions to singlet hopping and superconducting pairing within a two-band Hubbard modelSep 25 2006The mean field Green function solution of the two-band singlet-hole Hubbard model for high-$T\sb{c}$ superconductivity in cuprates (Plakida, N.M. et al., Phys. Rev. B51, 16599 (1995), JETP 97, 331 (2003)) involves expressions of higher order correlation ... More

Signature of Fermi surface jumps in positron spectroscopy dataAug 05 1999A subtractionless method for solving Fermi surface sheets ({\tt FSS}), from measured $n$-axis-projected momentum distribution histograms by two-dimensional angular correlation of the positron-electron annihilation radiation ({\tt 2D-ACAR}) technique, ... More

Nilpotence in the symplectic bordism ringOct 14 2014Oct 23 2014We prove a folklore result which gives a sequence of necessary and sufficient conditions for a stably symplectic manifold to define a nilpotent element in the symplectic bordism ring.

Modeling the Intergalactic Medium during the Epoch of ReionizationNov 04 2015A major goal of observational and theoretical cosmology is to observe the largely unexplored time period in the history of our universe when the first galaxies form, and to interpret these measurements. Early galaxies dramatically impacted the gas around ... More

Sigma-Adequate Link Diagrams and the Tutte PolynomialJul 14 2016In this paper, we characterize the sigma-adequacy of a link diagram in two ways: in terms of a certain edge subset of its Tait graph and in terms of a certain product of Tutte polynomials. Furthermore, we show that the symmetrized Tutte polynomial of ... More

Triple Crossing Number of Knots and LinksJul 31 2012Sep 04 2012A triple crossing is a crossing in a projection of a knot or link that has three strands of the knot passing straight through it. A triple crossing projection is a projection such that all of the crossings are triple crossings. We prove that every knot ... More

Hyperfine tensors of nitrogen-vacancy center in diamond from \emph{ab initio} calculationsMay 08 2009We determine and analyze the charge and spin density distributions of nitrogen-vacancy (N-V) center in diamond for both the ground and excited states by \emph{ab initio} supercell calculations. We show that the hyperfine tensor of $^{15}$N nuclear spin ... More

Multi-Strange Baryon Production in Au-Au collisions at sqrt(s_NN) = 130 GeVJul 30 2003The transverse mass spectra and mid-rapidity yields for $\Xi$s and $\Omega$s plus their anti-particles are presented. The 10% most central collision yields suggest that the amount of multi-strange particles produced per produced charged hadron increases ... More

Transverse momentum and collision energy dependence of high $p_{T}$ hadron suppression in Au+Au collisions at ultrarelativistic energiesMay 19 2003Oct 29 2003We report high statistics measurements of inclusive charged hadron production in Au+Au and p+p collisions at \sqrtsNN=200 GeV. A large, approximately constant hadron suppression is observed in central Au+Au collisions for $5\lt\pT\lt12$ GeV/c. The collision ... More

Search for Light Gluinos via the Spontaneous Appearance of pi+pi- Pairs with an 800 GeV/c Proton Beam at FermilabSep 25 1997We searched for the appearance of pi+pi- pairs with invariant mass greater than 648 MeV in a neutral beam. Such an observation could signify the decay of a long-lived light neutral particle. We find no evidence for this decay. Our null result severely ... More

In the Amemiya-Ando problem 3 is enoughAug 04 2012In any infinite dimensional Hilbert space $\mathcal H$ there exist orthogonal projections $Q_1$, $Q_2$ and $Q_3$, such that a sequence $(P_n... P_1(x))$ diverges in norm for some $P_1,P_2,...\in\{Q_1,Q_2,Q_3\}$ and $x\in\mathcal H$.

Effective field theory approach to LHC Higgs dataApr 30 2015May 12 2015I review the effective field theory approach to LHC Higgs data.

Pseudo-Goldstone Higgs Production via Gluon FusionNov 06 2007Dec 19 2007The gluon-gluon-higgs amplitude is investigated in the context of 5D models of gauge-higgs unification. A simple algorithm allows to include, in a fully analytical way, the contribution of the whole Kaluza-Klein tower of a 5D quark to the amplitude. This ... More

Escape and Trapping of Low-Frequency Gravitationally Lensed Rays by Compact Objects within PlasmaNov 04 2016We consider the gravitational lensing of rays emitted by a compact object (CO) within a distribution of plasma with power-law density $\propto r^{-h}$. For the simplest case of a cloud of spherically symmetric cold non-magnetized plasma, the diverging ... More

Periodicity of mass extinctions without an extraterrestrial causeNov 29 2004Mar 13 2005We study a lattice model of a multi-species prey-predator system. Numerical results show that for a small mutation rate the model develops irregular long-period oscillatory behavior with sizeable changes in a number of species. The periodicity of extinctions ... More

The solution of a generalized secretary problem via analytic expressionsJul 26 2016Given integers $1\leq k<n$, the Gusein-Zade version of a generalized secretary problem is to choose one of the $k$ best of $n$ candidates for a secretary, which are interviewing in random order. The stopping rule in the selection is based only on the ... More

New realizations of modular forms in Calabi-Yau threefolds arising from $φ^4$ theoryApr 17 2016It has been found experimentally by Brown and Schnetz that the number of points over ${\mathbb F}_p$ of a graph hypersurface is often related to the coefficients of a modular form. In this paper I prove this relation for one example of a modular form ... More

Decoherence of two maximally entangled qubits in a lossy nonlinear cavityFeb 03 2004Jul 26 2004Decoherence effect on quantum entanglement of two optical qubits in a lossy cavity interacting with a nonlinear medium (Kerr nonlinearity) is analyzed. The qubits are assumed to be initially in the maximally entangled states (Bell or Bell-like states) ... More

Alkali Metals and the Color of Brown DwarfsNov 06 2000I summarize some of the consequences for the optical and very-near-infrared spectra of T dwarfs (in particular) and brown dwarfs (in general) of their possible dominance by the neutral alkali metal lines. As a byproduct of this study, I estimate the true ... More

Perspectives on Core-Collapse Supernova TheoryOct 17 2012Core-collapse theory brings together many facets of high-energy and nuclear astrophysics and the numerical arts to present theorists with one of the most important, yet frustrating, astronomical questions: "What is the mechanism of core-collapse supernova ... More

Modeling Brown Dwarfs, L Dwarfs, and T DwarfsJul 18 2002In this brief contribution, I touch on a subset of recent efforts in spectral and opacity modeling aimed at improving our understanding of brown dwarfs, L dwarfs, and T dwarfs. I discuss theoretical calculations of the alkali line profiles, newly generated ... More

MHD Disk Winds in PNe and pPNeOct 19 2003Winds from accretion disks have been proposed as the driving source for precessing jets and extreme bipolar morphologies in Planetary Nebulae (PNe) and proto-PNe (pPNe). Here we apply MHD disk wind models to PNe and pPNe by estimating separately the asymptotic ... More

Bipolar Outflows and the Evolution of StarsMay 20 1998Hypersonic bipolar outflows are a ubiquitous phenomena associated with both young and highly evolved stars. Observations of Planetary Nebulae, the nebulae surrounding Luminous Blue Variables such as $\eta$ Carinae, Wolf Rayet bubbles, the circumstellar ... More

Theta vacuum in different gaugesJun 25 1998In some recent papers it is claimed that the physical significance of the vacuum angle theta for QCD-like theories depends on the chosen gauge condition. We criticise the arguments that were given in support of this claim, and show by explicit construction ... More

The three-boson bound state in the massive Schwinger modelOct 08 1996We derive the (matrix-valued) Feynman rules of mass perturbation theory of the massive Schwinger model for non-zero vacuum angle theta. Further, we discuss the properties of the three-boson bound state and compute -- by a partial resummation of the mass ... More

Scattering processes in the massive Schwinger modelJan 06 1997We derive the (matrix-valued) Feynman rules of the mass perturbation theory and use it for the resummation of the $n$-point functions with the help of the Dyson-Schwinger equations. We use these results for a short review of the complete spectrum of the ... More

The Schwinger Mass in the Massive Schwinger ModelJul 18 1995We derive a systematic procedure to compute Green functions for the massive Schwinger model via a perturbation expansion in the fermion mass. The known exact solution of the massless Schwinger model is used as a starting point. We compute the corrections ... More

Cluster Algebras and Symmetries of Regular TilingsOct 27 2015The classification of Grassmannian cluster algebras resembles that of regular polygonal tilings. We conjecture that this resemblance may indicate a deeper connection between these seemingly unrelated structures.

Conditions for Normative Decision Making at the Fire GroundDec 15 2015We discuss the changes in an attitude to decision making at the fire ground. The changes are driven by the recent technological shift. The emerging new approaches in sensing and data processing (under common umbrella of Cyber-Physical Systems) allow for ... More

Lower bounds for incidences with hypersurfacesNov 10 2015Oct 04 2016We present a technique for deriving lower bounds for incidences with hypersurfaces in ${\mathbb R}^d$ with $d\ge 4$. These bounds apply to a large variety of hypersurfaces, such as hyperplanes, hyperspheres, paraboloids, and hypersurfaces of any degree. ... More

On the set of uniquely decodable codes with a given sequence of code word lengthsAug 30 2016For every natural number $n\geq 2$ and every finite sequence $L$ of natural numbers, we consider the set $UD_n(L)$ of all uniquely decodable codes over an $n$-letter alphabet with the sequence $L$ as the sequence of code word lengths, as well as its subsets ... More

Manifestly gauge-covariant representation of scalar and fermion propagatorsSep 04 2015Dec 04 2015A new way to write the massive scalar and fermion propagators on a background of a weak gauge field is presented. They are written in a form that is manifestly gauge-covariant up to several additional terms that can be written as boundary terms in momentum ... More

New realizations of modular forms in Calabi-Yau threefolds arising from $φ^4$ theoryApr 17 2016Oct 22 2016It has been found experimentally by Brown and Schnetz that the number of points over ${\mathbb F}_p$ of a graph hypersurface is often related to the coefficients of a modular form. In this paper I prove this relation for one example of a modular form ... More

Superconformal R-charges and dyon multiplicities in N=2 gauge theoriesDec 11 2006N=(2,2) theories in 1+1D exhibit a direct correspondence between the R-charges of chiral operators at a conformal point and the multiplicities of BPS kinks in a massive deformation, as shown by Cecotti and Vafa. We obtain an analogous relation in 3+1D ... More