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Criticality revealed through quench dynamics in a many-body systemAug 18 2016We examine the dynamics after a sudden quench in the magnetic field of the Lipkin-Meshkov-Glick model. Starting from the groundstate and by employing the Loschmidt echo, we see manifestly different dynamics are present if the system is quenched through ... More

Cost of transitionless driving and work outputSep 07 2015Mar 04 2016Unitary processes allow for the transfer of work to and from Hamiltonian systems. However, to achieve non-zero power for the practical extraction of work, these processes must be performed within a finite-time, which inevitably induces excitations in ... More

Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick modelAug 18 2016Oct 19 2016We examine the dynamics after a sudden quench in the magnetic field of the Lipkin-Meshkov-Glick model. Starting from the groundstate and by employing the time-dependent fidelity, we see manifestly different dynamics are present if the system is quenched ... More

Predominance of entanglement of formation over quantum discord under quantum channelsJul 27 2012Mar 11 2013We present a study of the behavior of two different figures of merit for quantum correlations, entanglement of formation and quantum discord, under quantum channels showing how the former can, counterintuitively, be more resilient to such environments ... More

Multipartite non-locality in a thermalized Ising spin-chainJun 11 2010Oct 22 2010We study multipartite correlations and non-locality in an isotropic Ising ring under transverse magnetic field at both zero and finite temperature. We highlight parity-induced differences between the multipartite Bell-like functions used in order to quantify ... More

Non-Equilibrium Thermodynamics of Harmonically Trapped BosonsApr 12 2016Aug 04 2016We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-sized bosonic quantum gases in a one-dimensional harmonic trap. We show that dynamical orthogonality can occur in these few-body systems with strong interactions ... More

Trade-off between speed and cost in shortcuts to adiabaticitySep 15 2016Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum physics. Here, we study the speed with which a quantum system can be driven when employing transitionless quantum driving. As a main result, we establish a rigorous ... More

Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum controlMay 22 2017Oct 16 2017One of the most widely known building blocks of modern physics is Heisenberg's indeterminacy principle. Among the different statements of this fundamental property of the full quantum mechanical nature of physical reality, the uncertainty relation for ... More

Trade-off between speed and cost in shortcuts to adiabaticitySep 15 2016Aug 07 2017Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum physics. Here, we study the speed with which a quantum system can be driven when employing transitionless quantum driving. As a main result, we establish a rigorous ... More

Multipartite quantum and classical correlations in symmetric n-qubit mixed statesSep 03 2014Aug 17 2016We discuss how to calculate genuine multipartite quantum and classical correlations in symmetric, spatially invariant, mixed $n$-qubit density matrices. We show that the existence of symmetries greatly reduces the amount of free parameters to be optimized ... More

Correlation approach to work extraction from finite quantum systemsApr 30 2014Jan 14 2015Reversible work extraction from identical quantum systems via collective operations was shown to be possible even without producing entanglement among the sub-parts. Here, we show that implementing such global operations necessarily imply the creation ... More

Entropy production and correlations in a controlled non-Markovian settingApr 11 2018Jul 23 2018We study the relationship between (non-)Markovian evolutions, established correlations, and the entropy production rate. We consider a system qubit in contact with a thermal bath and in addition the system is strongly coupled to an ancillary qubit. We ... More

Precision thermometry and the quantum speed limitSep 27 2017Jan 09 2018We assess precision thermometry for an arbitrary single quantum system. For a $d$-dimensional harmonic system we show that the gap sets a single temperature that can be optimally estimated. Furthermore, we establish a simple linear relationship between ... More

Quantum phase transitions in phase spaceJan 26 2019We apply the Wigner function formalism from quantum optics, through Wootters' discrete Wigner function, to detect quantum phase transitions in critical spin-$\frac{1}{2}$ systems. We develop a general formula relating the discrete Wigner function and ... More

Global Quantum Correlation in the Ising modelJan 16 2012We study quantum correlations in an isotropic Ising ring under the effects of a transverse magnetic field. After characterizing the behavior of two-spin quantum correlations, we extend our analysis to global properties of the ring, using a figure of merit ... More

Passing quantum correlations to qubits using any two-mode stateJul 28 2009Nov 10 2009We draw an explicit connection between the statistical properties of an entangled two-mode continuous variable (CV) resource and the amount of entanglement that can be dynamically transferred to a pair of non-interacting two-level systems. More specifically, ... More

Equilibration and nonclassicality of a double-well potentialJul 15 2015Jan 29 2016A double well loaded with bosonic atoms represents an ideal candidate to simulate some of the most interesting aspects in the phenomenology of thermalisation and equilibration. Here we report an exhaustive analysis of the dynamics and steady state properties ... More

An efficient non-linear Feshbach engineSep 02 2017Nov 28 2017We investigate a thermodynamic cycle using a Bose-Einstein condensate with nonlinear interactions as the working medium. Exploiting Feshbach resonances to change the interaction strength of the BEC allows us to produce work by expanding and compressing ... More

Global and local thermometry schemes in coupled quantum systemsMay 04 2017Oct 03 2017We study the ultimate bounds on the estimation of temperature for an interacting quantum system. We consider two coupled bosonic modes that are assumed to be thermal and using quantum estimation theory establish the role the Hamiltonian parameters play ... More

Criticality, factorization and long-range correlations in the anisotropic XY-modelSep 04 2013Dec 04 2013We study the long-range quantum correlations in the anisotropic XY-model. By first examining the thermodynamic limit we show that employing the quantum discord as a figure of merit allows one to capture the main features of the model at zero temperature. ... More

Dynamics and Asymptotics of Correlations in a Many-Body Localized SystemAug 31 2016Sep 05 2016We examine the dynamics of nearest-neighbor bipartite concurrence and total correlations in the spin-1/2 XXZ model with random fields. We show, starting from factorized random initial states, that the concurrence can suffer entanglement sudden death in ... More

Characterization and properties of weakly optimal entanglement witnessesJul 03 2014Jul 12 2015We present an analysis of the properties and characteristics of weakly optimal entanglement witnesses, that is witnesses whose expectation value vanishes on at least one product vector. Any weakly optimal entanglement witness can be written as the form ... More

Quenching small quantum gases: Genesis of the orthogonality catastropheMay 23 2014Jul 07 2014We study the dynamics of two strongly interacting bosons with an additional impurity atom trapped in a harmonic potential. Using exact numerical diagonalization we are able to fully explore the dynamical evolution when the interaction between the two ... More

Cost of counterdiabatic driving and work outputSep 07 2015Oct 31 2016Unitary processes allow for the transfer of work to and from Hamiltonian systems. However, to achieve nonzero power for the practical extraction of work, these processes must be performed within a finite time, which inevitably induces excitations in the ... More

Precursors of non-MarkovianityFeb 08 2019Using the paradigm of information backflow to characterize a non-Markovian evolution, we introduce so-called precursors of non-Markovianity, i.e. necessary properties that the system and environment state must exhibit at earlier times in order for an ... More

Nonequilibrium quantum bounds to Landauer's principle: Tightness and effectivenessJul 28 2017Oct 13 2017We assess two different non-equilibrium quantum Landauer bounds: the traditional approach based on the change in entropy, referred to as the `entropic bound', and one based on the details of the dynamical map, referred to as the `thermodynamic bound'. ... More

Skew-enriched categoriesSep 05 2017Oct 07 2018This paper introduces a skew variant of the notion of enriched category, suitable for enrichment over a skew-monoidal category, the main novelty of which is that the elements of the enriched hom-objects need not be in bijection with the morphisms of the ... More

Dynamics and Asymptotics of Correlations in a Many-Body Localized SystemAug 31 2016Aug 05 2017We examine the dynamics of nearest-neighbor bipartite concurrence and total correlations in the spin-1/2 $XXZ$ model with random fields. We show, starting from factorized random initial states, that the concurrence can suffer entanglement sudden death ... More

System-environment correlations and Markovian embedding of quantum non-Markovian dynamicsMay 24 2018Jul 10 2018We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e. the open dynamics is modelled through sequences of unitary interactions between the system and the individual constituents of the environment, ... More

Effect of inter-particle interaction in a free oscillation atomic interferometerFeb 15 2013Nov 27 2013We investigate the dynamics of two interacting bosons repeatedly scattering off a beam-splitter in a free oscillation atom interferometer. Using the inter-particle scattering length and the beam splitter probabilites as our control parameters, we show ... More

Heavy Ions Interpretation of Highest Energy Cosmic RaysDec 14 2001A brief review of the energy spectrum of primary cosmic rays above $10^{10}$ eV and the measurement techniques used to investigate the ultra high energy ones is given. This is followed by a discussion of the atmospheric shower profile of the highest energy ... More

Electrowetting of a soap bubbleApr 25 2013A proof-of-concept demonstration of the electrowetting-on-dielectric of a sessile soap bubble is reported here. The bubbles are generated using a commercial soap bubble mixture - the surfaces are composed of highly doped, commercial silicon wafers covered ... More

Measure of nodal sets of analytic Steklov eigenfunctionsMar 04 2014Let $(\Omega, g)$ be a real analytic Riemannian manifold with real analytic boundary $\partial \Omega$. Let $\psi_{\lambda}$ be an eigenfunction of the Dirichlet-to-Neumann operator $\Lambda$ of $(\Omega, g, \partial \Omega)$ of eigenvalue $\lambda$. ... More

Science Potential of a Deep Ocean Antineutrino ObservatoryNov 22 2006Dec 15 2006This paper presents science potential of a deep ocean antineutrino observatory under development at Hawaii. The observatory design allows for relocation from one site to another. Positioning the observatory some 60 km distant from a nuclear reactor complex ... More

Fuzzy overlapping communities in networksOct 07 2010Feb 10 2011Networks commonly exhibit a community structure, whereby groups of vertices are more densely connected to each other than to other vertices. Often these communities overlap, such that each vertex may occur in more than one community. However, two distinct ... More

Reactor Antineutrino Signals at Morton and BoulbyNov 05 2016Increasing the distance from which an antineutrino detector is capable of monitoring the operation of a registered reactor, or discovering a clandestine reactor, strengthens the Non-Proliferation of Nuclear Weapons Treaty. This report presents calculations ... More

Topology of the Standard Model, I: FermionsJun 16 2013Dec 26 2015The Harari-Shupe model for fermions is extended to a topological model which contains an explanation for the observed fact that there are only three generations of fermions. Topological explanations are given for $\beta$-decay and for proton decay predicted ... More

Polynomials, roots, and interlacingDec 28 2006Mar 11 2008This work is divided into three parts. The first part concerns polynomials in one variable with all real roots. We consider linear transformations that preserve real rootedness, as well as matrices that preserve interlacing. The second part covers polynomials ... More

The Laguerre polynomials preserve real-rootednessAug 19 2008The linear transformation that sends $x^n$ to the n'th Laguerre polynomial preserves real-rootedness.

Discovering dynamic functional networks in the human neonatal brain with electric source imagingFeb 11 2019When the human brain manifests the birth of organised communication among local and large-scale neuronal populations activity remains undescribed. We report, in resting-state EEG source-estimates of 100 infants at term age, the existence of macro-scale ... More

Type theory and homotopyOct 09 2010The purpose of this survey article is to introduce the reader to a connection between Logic, Geometry, and Algebra which has recently come to light in the form of an interpretation of the constructive type theory of Martin-L\"of into homotopy theory, ... More

Fast Markov Chain Monte Carlo Algorithms via Lie GroupsJan 24 2019From basic considerations of the Lie group that preserves a target probability measure, we derive the Barker, Metropolis, and ensemble Markov chain Monte Carlo (MCMC) algorithms, as well as two new MCMC algorithms. The convergence properties of these ... More

Neutrino Factory and Muon Collider R&DNov 05 2001European, Japanese, and US Neutrino Factory designs are presented. The main R&D issues and associated R&D programs, future prospects, and the additional issues that must be addressed to produce a viable Muon Collider design, are discussed.

Dirac phase leptogenesisOct 02 2007I present here a concise summary of the preprint arXiv:0707.3024, written in collaboration with A. Anisimov and P. Di Bari. There we discuss leptogenesis when {\em CP} violation stems exlusively from the Dirac phase in the PMNS mixing matrix. Under this ... More

The Optimal Sample Complexity of PAC LearningJul 02 2015Feb 07 2016This work establishes a new upper bound on the number of samples sufficient for PAC learning in the realizable case. The bound matches known lower bounds up to numerical constant factors. This solves a long-standing open problem on the sample complexity ... More

Park City lectures on EigenfunctionsOct 29 2013This is an expository article based on my lectures on eigenfunctions of the Laplacian for the 2013 IAS/Park City Mathematics Institute (PCMI) summer school in geometric analysis. Many of the results are based on joint work with H. Christianson, J. Jung, ... More

Wetting of soap bubbles on hydrophilic, hydrophobic and superhydrophobic surfacesMar 26 2013Wetting of sessile bubbles on solid and liquid surfaces has been studied. A model is presented for the contact angle of a sessile bubble based on a modified Young equation - the experimental results agree with the model. A hydrophilic surface results ... More

Logarithmic lower bound on the number of nodal domainsOct 18 2015We prove that the number of nodal domains of a density one subsequence of eigenfunctions grows at least logarithmically with the eigenvalue on negatively curved `real Riemann surfaces'. The geometric model is the same as in prior joint work with Junehyuk ... More

Off-diagonal decay of toric Bergman kernelsMar 28 2016We study the off-diagonal decay of Bergman kernels $\Pi_{h^k}(z,w)$ and Berezin kernels $P_{h^k}(z,w)$ for ample invariant line bundles over compact toric projective \kahler manifolds of dimension $m$. When the metric is real analytic, $P_{h^k}(z,w) \simeq ... More

Verifying black hole orbits with gravitational spectroscopyNov 29 2007May 08 2009Gravitational waves from test masses bound to geodesic orbits of rotating black holes are simulated, using Teukolsky's black hole perturbation formalism, for about ten thousand generic orbital configurations. Each binary radiates power exclusively in ... More

Inverse Spectral Problem for Surfaces of RevolutionFeb 05 2000This paper concerns the inverse spectral problem for analytic simple surfaces of revolution. By `simple' is meant that there is precisely one critical distance from the axis of revolution. Such surfaces have completely integrable geodesic flows with global ... More

Geometry and curvature of diffeomorphism groups with $H^1$ metric and mean hydrodynamicsJul 15 1998Recently, Holm, Marsden, and Ratiu [1998] have derived a new model for the mean motion of an ideal fluid in Euclidean space given by the equation $\dot{V}(t) + \nabla_{U(t)} V(t) - \alpha^2 [\nabla U(t)]^t \cdot \triangle U(t) = -\text{grad} p(t)$ where ... More

Nontangential and probabilistic boundary behavior of pluriharmonic functionsNov 15 2005Sep 25 2006Let $u$ be a pluriharmonic function on the unit ball in $\mathbb{C}^n$. I consider the relationship between the set of points $L_u$ on the boundary of the ball at which $u$ converges nontangentially and the set of points $\mathcal{L}_u$ at which $u$ converges ... More

Asphericity for certain groups of cohomological dimension 2Jan 27 2015Mar 16 2015A finite connected 2-complex K whose fundamental group is of cohomological dimension 2 is aspherical iff the subgroup \Sigma_K of H_2(K) consisting of spherical 2-cycles is zero. A finite connected subcomplex of an aspherical 2-complex is aspherical iff ... More

Short Homotopically independent loops on surfacesOct 04 2013In this paper, we are interested in short homologically and homotopically independent loops based at the same point on Riemannian surfaces and metric graphs. First, we show that for every closed Riemannian surface of genus $g \geq 2$ and area normalized ... More

Moving liquids with light: Photoelectrowetting on semiconductorsAug 24 2011Liquid transport in microchip-based systems is important in many areas such as Laboratory-on-a-chip, Microfluidics and Optofluidics. Actuation of liquids in such systems is usually achieved using either mechanical displacement11 or via energy conversion ... More

Ergodicity and intersections of nodal sets and geodesics on real analytic surfacesOct 02 2012We consider the the intersections of the complex nodal set of the analytic continuation of an eigenfunction of the Laplacian on a real analytic surface with the complexification of a geodesic. We prove that if the geodesic flow is ergodic and if the geodesic ... More

Strategies for observing extreme mass ratio inspiralsApr 27 2006Aug 26 2006I review the status of research, conducted by a variety of independent groups, aimed at the eventual observation of Extreme Mass Ratio Inspirals (EMRIs) with gravitational wave detectors. EMRIs are binary systems in which one of the objects is much more ... More

Integrating electricity markets: Impacts of increasing trade on prices and emissions in the western United StatesOct 10 2018Feb 14 2019This paper presents estimates of short-term relationships between regional electricity trade in the western United States (U.S.) and prices, emissions, and generation dispatch. Consistent with economic theory, I find a negative short term relationship ... More

Instagram Post Data AnalysisOct 07 2016Because of the spread of the Internet, social platforms become big data pools. From there we can learn about the trends, culture and hot topics. This project focuses on analyzing the data from Instagram. It shows the relationship of Instagram filter data ... More

A Markov model for inferring flows in directed contact networksOct 25 2018Directed contact networks (DCNs) are a particularly flexible and convenient class of temporal networks, useful for modeling and analyzing the transfer of discrete quantities in communications, transportation, epidemiology, etc. Transfers modeled by contacts ... More

On the density of primes with a set of quadratic residues or non-residues in given arithmetic progressionApr 08 2013Jul 25 2013Let $\mathcal{A}$ denote a finite set of arithmetic progressions of positive integers and let $s \geq 2$ be an integer. If the cardinality of $\mathcal{A}$ is at least 2 and $U$ is the union formed by taking certain arithmetic progressions of length $s$ ... More

Addendum: Level Spacings for Integrable Quantum Maps in Genus ZeroFeb 04 2000In this addendum we strengthen the results of math-ph/0002010 in the case of polynomial phases. We prove that Cesaro means of the pair correlation functions of certain integrable quantum maps on the 2-sphere at level N tend almost always to the Poisson ... More

Statistical Modeling in Continuous Speech Recognition (CSR)(Invited Talk)Jan 10 2013Automatic continuous speech recognition (CSR) is sufficiently mature that a variety of real world applications are now possible including large vocabulary transcription and interactive spoken dialogues. This paper reviews the evolution of the statistical ... More

Questions about determinants and polynomialsAug 13 2008We discuss several conjectures about the real-rootedness of polynomials whose coefficients are determinants of coefficients of a real-rooted polynomial. We also consider some questions about matrices generalizing totally positive matrices, namely totally ... More

Spectral determination of analytic axi-symmetric plane domainsJan 03 1999Apr 07 1999Let ${\cal D}$ denote the class of bounded real analytic plane domains with the symmetry of an ellipse. We prove that if $\Omega_1, \Omega_2 \in {\cal D}$ and if the Dirichlet spectra coincide, $Spec(\Omega_1) = Spec(\Omega_2)$, then $\Omega_1 = \Omega_2$ ... More

Muon Cooling R&DAug 15 2001International efforts are under way to design and test a muon ionization cooling channel. The present R&D program is described, and future plans outlined.

Neutrino Factories: PhysicsAug 15 2000The recent evidence for neutrino oscillations opens a new and exciting era in neutrino physics. The next generation of accelerator based neutrino oscillation experiments are expected to confirm the nature of the oscillations, and begin to measure some ... More

A New Era of LeptogenesisJul 09 2008This thesis is devoted to some forefront issues in the field of leptogenesis. After reviewing the simplest picture where flavor effects are neglected and only the lightest right-handed neutrino contributes to the generation of asymmetry, we discuss in ... More

Temporal Reasoning About Uncertain WorldsMar 27 2013We present a program that manages a database of temporally scoped beliefs. The basic functionality of the system includes maintaining a network of constraints among time points, supporting a variety of fetches, mediating the application of causal rules, ... More

Coloring the 600 CellFeb 18 2008The 600 cell S has exactly 10 5-colorings. From these colorings we can construct the space of colorings $B(S)$. This complex has 1344 colorings, and is isomorphic to the space of 5 by 5 Latin Squares. These simplices split into 4 copies of a quotient ... More

Scientific goals of the UKIRT Infrared Deep Sky SurveyOct 10 2002UKIDSS is the next generation near-infrared sky survey. The survey will commence in early 2004, and over 7 years will collect 100 times as many photons as 2MASS. UKIDSS will use the UKIRT Wide Field Camera to survey 7500 square degrees of the northern ... More

Ordered community structure in networksApr 05 2011Feb 13 2012Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is possible if vertex ... More

Finding overlapping communities in networks by label propagationOct 28 2009Oct 14 2010We propose an algorithm for finding overlapping community structure in very large networks. The algorithm is based on the label propagation technique of Raghavan, Albert, and Kumara, but is able to detect communities that overlap. Like the original algorithm, ... More

Geo-neutrinos and the Radioactive Power of the EarthNov 25 2011Sep 11 2012Chemical and physical Earth models agree little as to the radioactive power of the planet. Each predicts a range of radioactive powers, overlapping slightly with the other at about 24 TW, and together spanning 14-46 TW. Approximately 20 % of this radioactive ... More

Geo-neutrinos and Silicate Earth Enrichment of U and ThMay 25 2010Aug 30 2010The terrestrial distribution of U, Th, and K abundances governs the thermal evolution, traces the differentiation, and reflects the bulk composition of the earth. Comparing the bulk earth composition to chondritic meteorites estimates the net amounts ... More

A search for the rare decay K+ -> pi+ nu nuJan 09 1997Recent results from the first phase of the E787 experiment and an update on the current status are presented. From the first phase the limit on the K+ -> pi+ nu nu (pnn) branching ratio is BR(pnn) < 2.4e-9 (90%CL). An observation of the decay K+ -> pi+ ... More

Using twins and scaling to construct cospectral graphs for the normalized LaplacianSep 29 2014Oct 23 2014The spectrum of the normalized Laplacian matrix cannot determine the number of edges in a graph, however finding constructions of cospectral graphs with differing number of edges has been elusive. In this paper we use basic properties of twins and scaling ... More

Languages for Mobile AgentsJul 07 2015Mobile agents represent a new model for network computing. Many different languages have been used to implement mobile agents. The characteristics that make a language useful for writing mobile agents are: (1) their support of agent migration, (2) their ... More

Quadratic Residues and Non-Residues: Selected TopicsAug 01 2014Oct 21 2016Number theory as a coherent mathematical subject started with the work of Fermat in the decade from 1630 to 1640, but modern number theory, that is, the systematic and mathematically rigorous development of the subject from fundamental properties of the ... More

Survey of the inverse spectral problem for the Notices of the ICCMApr 08 2015This is an updated survey on the inverse spectral problem written for the Notices of the ICCM. It rapidly reviews some of the material in the previous survey of the same title (arXiv:math/0402356) and then discusses some relatively new results (rigidity ... More

A cubical model of homotopy type theoryJul 21 2016We construct an algebraic weak factorization system $(L, R)$ on the cartesian cubical sets, in which the canonical path object factorization $A \to A^I \to A\times A$ induced by the 1-cube $I$ is an $L$-$R$ factorization for any $R$-object $A$.

How Many Muons Do We Need to Store in a Ring For Neutrino Cross-Section Measurements?Apr 26 2012Analytical estimate of the number of muons that must decay in the straight section of a storage ring to produce a neutrino & anti-neutrino beam of sufficient intensity to facilitate cross-section measurements with a statistical precision of 1%.

Cosmology with the Square Kilometre ArrayMay 31 2011We review how the Square Kilometre Array (SKA) will address fundamental questions in cosmology, focussing on its use for neutral Hydrogen (HI) surveys. A key enabler of its unique capabilities will be large (but smart) receptors in the form of aperture ... More

Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, IJul 03 2011We develop analogues for Grauert tubes of real analytic Riemannian manifolds (M,g) of some basic notions of pluri-potential theory, such as the Siciak extremal function. The basic idea is to use analytic continuations of eigenfunctions in place of polynomials ... More

Rates of convergence in active learningMar 09 2011We study the rates of convergence in generalization error achievable by active learning under various types of label noise. Additionally, we study the general problem of model selection for active learning with a nested hierarchy of hypothesis classes ... More

Geo-neutrinos: recent developmentsDec 11 2014Radiogenic heating is a key component of the energy balance and thermal evolution of the Earth. It contributes to mantle convection, plate tectonics, volcanoes, and mountain building. Geo-neutrino observations estimate the present radiogenic power of ... More

Testing Geological Models with Terrestrial Antineutrino Flux MeasurementsDec 14 2009Uranium and thorium are the main heat producing elements in the earth. Their quantities and distributions, which specify the flux of detectable antineutrinos generated by the beta decay of their daughter isotopes, remain unmeasured. Geological models ... More

Fast multipole networksApr 09 2019Two fundamental prerequisites for robotic multiagent systems are mobility and communication. We propose \emph{fast multipole networks} (FMNs) to achieve both ends within a unified framework. FMNs can be organized very efficiently in a distributed way ... More

Aspects of stable polynomialsMar 03 2008This note is an introduction to the properties of stable polynomials in several variables with real or complex coefficients. These polynomials are defined in terms of where the polynomial is non-vanishing. We do not cover well-known topics in one variable ... More

On truncated quasi-categoriesOct 26 2018Mar 11 2019For each $n \geq -1$, a quasi-category is said to be $n$-truncated if its hom-spaces are $(n-1)$-types. In this paper we study the model structure for $n$-truncated quasi-categories, which we show can be constructed as the Bousfield localisation of Joyal's ... More

Measuring and Assessing Latent Variation in Alliance Design and ObjectivesApr 22 2019The alliance literature is bifurcated between an empirically-driven approach utilizing rigorous data, and a theoretically-motivated approach offering a rich conceptualization of alliances. Within the strength of one, lays the weakness of the other. While ... More

Reduction Theorems for the Strong Real Jacobian ConjectureMar 15 2013Jan 16 2014Implementations of known reductions of the Strong Real Jacobian Conjecture (SRJC), to the case of an identity map plus cubic homogeneous or cubic linear terms, and to the case of gradient maps, are shown to preserve significant algebraic and geometric ... More

The Asymptotic Variety of a Pinchuk Map as a Polynomial CurveJan 19 2010Aug 10 2010The asymptotic variety of a counterexample of Pinchuk type to the strong real Jacobian conjecture is explicitly described by low degree polynomials.

On the Rational Real Jacobian ConjectureSep 30 2012Nov 15 2013Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere defined maps of real n-space to itself are considered, with no requirement for a constant Jacobian determinant or a rational inverse. The birational case is proved ... More

Discrete and Continuous, Probabilistic Anticipation for Autonomous Robots in Urban EnvironmentsSep 03 2013This paper develops a probabilistic anticipation algorithm for dynamic objects observed by an autonomous robot in an urban environment. Predictive Gaussian mixture models are used due to their ability to probabilistically capture continuous and discrete ... More

Effects of P-wave Annihilation on the Angular Power Spectrum of Extragalactic Gamma-rays from Dark Matter AnnihilationJun 23 2011We present a formalism for estimating the angular power spectrum of extragalactic gamma-rays produced by dark matter annihilating with any general velocity-dependent cross section. The relevant density and velocity distribution of dark matter is modeled ... More

An Adaptive Data Representation for Robust Point-Set Registration and MergingNov 13 2015This paper presents a framework for rigid point-set registration and merging using a robust continuous data representation. Our point-set representation is constructed by training a one-class support vector machine with a Gaussian radial basis function ... More

Low State, Phase-Resolved IR Spectroscopy of VV PuppisDec 13 2005We present phase-resolved low resolution $JHK$ and higher resolution $K$-band spectroscopy of the polar VV Pup. All observations were obtained when VV Pup was in a low accretion state having a K magnitude near 15. The low resolution observations reveal ... More

Full counting statistics approach to the quantum non-equilibrium Landauer boundApr 04 2017Nov 01 2017We develop the full counting statistics of dissipated heat to explore the relation with Landauer's principle. Combining the two-time measurement protocol for the reconstruction of the statistics of heat with the minimal set of assumptions for Landauer's ... More