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Simulation of Self-Assembly in the Abstract Tile Assembly Model with ISU TASJan 27 2011Since its introduction by Erik Winfree in 1998, the abstract Tile Assembly Model (aTAM) has inspired a wealth of research. As an abstract model for tile based self-assembly, it has proven to be remarkably powerful and expressive in terms of the structures ... More

A Domain-Specific Language for Programming in the Tile Assembly ModelMar 05 2009We introduce a domain-specific language (DSL) for creating sets of tile types for simulations of the abstract Tile Assembly Model. The language defines objects known as tile templates, which represent related groups of tiles, and a small number of basic ... More

On the Equivalence of Cellular Automata and the Tile Assembly ModelSep 05 2013In this paper, we explore relationships between two models of systems which are governed by only the local interactions of large collections of simple components: cellular automata (CA) and the abstract Tile Assembly Model (aTAM). While sharing several ... More

Geometric Tiles and Powers and Limitations of Geometric Hindrance in Self-AssemblyMar 14 2019Tile-based self-assembly systems are capable of universal computation and algorithmically-directed growth. Systems capable of such behavior typically make use of "glue cooperation" in which the glues on at least $2$ sides of a tile must match and bind ... More

Identifying Shapes Using Self-Assembly (extended abstract)Jun 15 2010In this paper, we introduce the following problem in the theory of algorithmic self-assembly: given an input shape as the seed of a tile-based self-assembly system, design a finite tile set that can, in some sense, uniquely identify whether or not the ... More

Self-Assembly of Infinite StructuresJun 17 2009We review some recent results related to the self-assembly of infinite structures in the Tile Assembly Model. These results include impossibility results, as well as novel tile assembly systems in which shapes and patterns that represent various notions ... More

Self-Assembly of Discrete Self-Similar FractalsMar 12 2008Apr 26 2008In this paper, we search for {\it absolute} limitations of the Tile Assembly Model (TAM), along with techniques to work around such limitations. Specifically, we investigate the self-assembly of fractal shapes in the TAM. We prove that no self-similar ... More

Limitations of Self-Assembly at Temperature One (extended abstract)Jun 17 2009We prove that if a subset X of the integer Cartesian plane weakly self-assembles at temperature 1 in a deterministic (Winfree) tile assembly system satisfying a natural condition known as *pumpability*, then X is a finite union of doubly periodic sets. ... More

Universal Simulation of Directed Systems in the abstract Tile Assembly Model Requires UndirectednessAug 10 2016As a mathematical model of self-assembling systems, Winfree's abstract Tile Assembly Model (aTAM) is a remarkable platform for studying the behaviors and powers of self-assembling systems. Capable of Turing universal computation, the aTAM allows algorithmic ... More

Efficient Squares and Turing Universality at Temperature 1 with a Unique Negative GlueMay 06 2011Feb 01 2012Is Winfree's abstract Tile Assembly Model (aTAM) "powerful?" Well, if certain tiles are required to "cooperate" in order to be able to bind to a growing tile assembly (a.k.a., temperature 2 self-assembly), then Turing universal computation and the efficient ... More

Limitations of Self-Assembly at Temperature 1Mar 10 2009We prove that if a set $X \subseteq \Z^2$ weakly self-assembles at temperature 1 in a deterministic tile assembly system satisfying a natural condition known as \emph{pumpability}, then $X$ is a finite union of semi-doubly periodic sets. This shows that ... More

Self-Assembly with Geometric TilesApr 14 2011In this work we propose a generalization of Winfree's abstract Tile Assembly Model (aTAM) in which tile types are assigned rigid shapes, or geometries, along each tile face. We examine the number of distinct tile types needed to assemble shapes within ... More

Doubles and Negatives are Positive (in Self-Assembly)Mar 15 2014In the abstract Tile Assembly Model (aTAM), the phenomenon of cooperation occurs when the attachment of a new tile to a growing assembly requires it to bind to more than one tile already in the assembly. Often referred to as ``temperature-2'' systems, ... More

Replication of arbitrary hole-free shapes via self-assembly with signal-passing tiles (extended abstract)Mar 04 2015In this paper, we investigate the abilities of systems of self-assembling tiles which can each pass a constant number of signals to their immediate neighbors to create replicas of input shapes. Namely, we work within the Signal-passing Tile Assembly Model ... More

Thermodynamically Favorable Computation via Tile Self-assemblyFeb 08 2018The recently introduced Thermodynamic Binding Networks (TBN) model was developed with the purpose of studying self-assembling systems by focusing on their thermodynamically favorable final states, and ignoring the kinetic pathways through which they evolve. ... More

The Simulation Powers and Limitations of Higher Temperature Hierarchical Self-Assembly SystemsMar 16 2015In this paper, we extend existing results about simulation and intrinsic universality in a model of tile-based self-assembly. Namely, we work within the 2-Handed Assembly Model (2HAM), which is a model of self-assembly in which assemblies are formed by ... More

Computing in continuous space with self-assembling polygonal tilesMar 01 2015Aug 18 2015In this paper we investigate the computational power of the polygonal tile assembly model (polygonal TAM) at temperature 1, i.e. in non-cooperative systems. The polygonal TAM is an extension of Winfree's abstract tile assembly model (aTAM) which not only ... More

Reflections on Tiles (in Self-Assembly)Apr 23 2014Mar 11 2015We define the Reflexive Tile Assembly Model (RTAM), which is obtained from the abstract Tile Assembly Model (aTAM) by allowing tiles to reflect across their horizontal and/or vertical axes. We show that the class of directed temperature-1 RTAM systems ... More

Self-Assembly of Arbitrary Shapes Using RNAse Enzymes: Meeting the Kolmogorov Bound with Small Scale Factor (extended abstract)Apr 25 2010Jul 08 2010We consider a model of algorithmic self-assembly of geometric shapes out of square Wang tiles studied in SODA 2010, in which there are two types of tiles (e.g., constructed out of DNA and RNA material) and one operation that destroys all tiles of a particular ... More

Hierarchical Self-Assembly of Fractals with Signal-Passing Tiles (extended abstract)Jun 06 2016In this extended abstract, we present high-level overviews of tile-based self-assembling systems capable of producing complex, infinite, aperiodic structures known as discrete self-similar fractals. Fractals have a variety of interesting mathematical ... More

The Power of Duples (in Self-Assembly): It's Not So Hip To Be SquareFeb 18 2014Mar 07 2014In this paper we define the Dupled abstract Tile Assembly Model (DaTAM), which is a slight extension to the abstract Tile Assembly Model (aTAM) that allows for not only the standard square tiles, but also "duple" tiles which are rectangles pre-formed ... More

Signal Transmission Across Tile Assemblies: 3D Static Tiles Simulate Active Self-Assembly by 2D Signal-Passing TilesJun 20 2013Dec 13 2013The 2-Handed Assembly Model (2HAM) is a tile-based self-assembly model in which, typically beginning from single tiles, arbitrarily large aggregations of static tiles combine in pairs to form structures. The Signal-passing Tile Assembly Model (STAM) is ... More

The tile assembly model is intrinsically universalNov 14 2011Apr 07 2012We prove that the abstract Tile Assembly Model (aTAM) of nanoscale self-assembly is intrinsically universal. This means that there is a single tile assembly system U that, with proper initialization, simulates any tile assembly system T. The simulation ... More

Binary pattern tile set synthesis is NP-hardApr 03 2014In the field of algorithmic self-assembly, a long-standing unproven conjecture has been that of the NP-hardness of binary pattern tile set synthesis (2-PATS). The $k$-PATS problem is that of designing a tile assembly system with the smallest number of ... More

Strong Fault-Tolerance for Self-Assembly with Fuzzy TemperatureApr 07 2010We consider the problem of fault-tolerance in nanoscale algorithmic self-assembly. We employ a variant of Winfree's abstract Tile Assembly Model (aTAM), the two-handed aTAM, in which square "tiles" -- a model of molecules constructed from DNA for the ... More

Intrinsic universality in tile self-assembly requires cooperationApr 05 2013Apr 10 2013We prove a negative result on the power of a model of algorithmic self-assembly for which it has been notoriously difficult to find general techniques and results. Specifically, we prove that Winfree's abstract Tile Assembly Model, when restricted to ... More

Hierarchical Self-Assembly of Fractals with Signal-Passing TilesJun 06 2016Dec 22 2016In this paper, we present high-level overviews of tile-based self-assembling systems capable of producing complex, infinite, aperiodic structures known as discrete self-similar fractals. Fractals have a variety of interesting mathematical and structural ... More

Intrinsic Universality in Self-AssemblyJan 01 2010Feb 03 2010We show that the Tile Assembly Model exhibits a strong notion of universality where the goal is to give a single tile assembly system that simulates the behavior of any other tile assembly system. We give a tile assembly system that is capable of simulating ... More

Self-Assembly of 3-D Structures Using 2-D Folding TilesJul 12 2018Jul 17 2018Self-assembly is a process which is ubiquitous in natural, especially biological systems. It occurs when groups of relatively simple components spontaneously combine to form more complex structures. While such systems have inspired a large amount of research ... More

Universal Computation with Arbitrary Polyomino Tiles in Non-Cooperative Self-AssemblyAug 14 2014Aug 18 2014In this paper we explore the power of geometry to overcome the limitations of non-cooperative self-assembly. We define a generalization of the abstract Tile Assembly Model (aTAM), such that a tile system consists of a collection of polyomino tiles, the ... More

Two Hands Are Better Than One (up to constant factors)Jan 08 2012We study the difference between the standard seeded model of tile self-assembly, and the "seedless" two-handed model of tile self-assembly. Most of our results suggest that the two-handed model is more powerful. In particular, we show how to simulate ... More

One Tile to Rule Them All: Simulating Any Turing Machine, Tile Assembly System, or Tiling System with a Single Puzzle PieceDec 19 2012In this paper we explore the power of tile self-assembly models that extend the well-studied abstract Tile Assembly Model (aTAM) by permitting tiles of shapes beyond unit squares. Our main result shows the surprising fact that any aTAM system, consisting ... More

Know When to Fold 'Em: Self-Assembly of Shapes by Folding in OritatamiJul 12 2018Jul 13 2018An oritatami system (OS) is a theoretical model of self-assembly via co-transcriptional folding. It consists of a growing chain of beads which can form bonds with each other as they are transcribed. During the transcription process, the $\delta$ most ... More

The two-handed tile assembly model is not intrinsically universalJun 28 2013Aug 20 2014The well-studied Two-Handed Tile Assembly Model (2HAM) is a model of tile assembly in which pairs of large assemblies can bind, or self-assemble, together. In order to bind, two assemblies must have matching glues that can simultaneously touch each other, ... More

Hierarchical Growth is Necessary and (Sometimes) Sufficient to Self-Assemble Discrete Self-Similar FractalsJul 12 2018Jul 17 2018In this paper, we prove that in the abstract Tile Assembly Model (aTAM), an accretion-based model which only allows for a single tile to attach to a growing assembly at each step, there are no tile assembly systems capable of self-assembling the discrete ... More

Asynchronous Signal Passing for Tile Self-Assembly: Fuel Efficient Computation and Efficient Assembly of ShapesFeb 22 2012Nov 14 2013In this paper we demonstrate the power of a model of tile self-assembly based on active glues which can dynamically change state. We formulate the Signal-passing Tile Assembly Model (STAM), based on the model of Padilla, Liu, and Seeman to be asynchronous, ... More

Observational Constraints on Planet Nine: Cassini Range ObservationsApr 12 2016We significantly constrain the sky position, distance, and mass of a possible additional, distant planet in the solar system by examining its influence on the distance between Earth and the Cassini Spacecraft. Our preferred region is approximately centered ... More

Observational Constraints on Planet Nine: Astrometry of Pluto and Other Trans-Neptunian ObjectsMar 30 2016We use astrometry of Pluto and other TNOs to constrain the sky location, distance, and mass of the possible additional planet (Planet Nine) hypothesized by Batygin and Brown (2016). We find that over broad regions of the sky, the inclusion of a massive, ... More

The number of harmonic frames of prime orderSep 02 2012Harmonic frames of prime order are investigated. The primary focus is the enumeration of inequivalent harmonic frames, with the exact number given by a recursive formula. The key to this result is a one-to-one correspondence developed between inequivalent ... More

Gravitational Radiation From Globular ClustersOct 29 1998Space-based gravitational wave detectors will have the ability to observe continuous low frequency gravitational radiation from binary star systems. They can determine the direction to continuous sources with an angular resolution approaching tens of ... More

PHENIX Results on Heavy Quarks at Low $x$Apr 07 2014It is becoming increasingly clear that initial state effects inherent to collisions of nuclei play an important role in the interpretation of data from heavy ion collisions at RHIC and the LHC. Such effects are more apparent in kinematic regions where ... More

Duality, Phases, Spinors and Monopoles in SO(N) and Spin(N) Gauge TheoriesSep 11 1997Four-dimensional N=1 supersymmetric Spin(N) gauge theories with matter in the vector and spinor representations are considered. Dual descriptions are known for some of these theories. It is noted that when masses are given to all fields in the spinor ... More

How to Scale a Code in the Human DimensionJan 29 2013As scientists' needs for computational techniques and tools grow, they cease to be supportable by software developed in isolation. In many cases, these needs are being met by communities of practice, where software is developed by domain scientists to ... More

Instability, Isolation, and the Tridecompositional Uniqueness TheoremDec 02 2004The tridecompositional uniqueness theorem of Elby and Bub (1994) shows that a wavefunction in a triple tensor product Hilbert space has at most one decomposition into a sum of product wavefunctions with each set of component wavefunctions linearly independent. ... More

The repeating microlensing event OGLE-2003-BLG-095: A plausible case for microlensing of a binary sourceFeb 16 2004The apparently repeating microlensing event OGLE-2003-BLG-095 is analyzed. Data were obtained from the OGLE Internet archive and exist in the public domain. The source is relatively bright, with an unmagnified (but possibly blended) $I$-band magnitude ... More

The Art of Data ScienceJun 16 2011To flourish in the new data-intensive environment of 21st century science, we need to evolve new skills. These can be expressed in terms of the systemized framework that formed the basis of mediaeval education - the trivium (logic, grammar, and rhetoric) ... More

A PTAS for vertex guarding weakly-visible polygons - An extended abstractMar 06 2018Sep 29 2018In this extended abstract, we present a PTAS for guarding the vertices of a weakly-visible polygon $P$ from a subset of its vertices, or in other words, a PTAS for computing a minimum dominating set of the visibility graph of the vertices of $P$. We then ... More

Calculating groundwater response times for flow in heterogeneous porous mediaJul 02 2017Jul 30 2017Predicting the amount of time required for a transient groundwater response to take place is a practical question that is of interest in many situations. This time scale is often called the response time. In the groundwater hydrology literature there ... More

New Descriptions of Demazure Tableaux and Right Keys, with Applications to ConvexityJul 29 2014The right key of a semistandard Young tableau is a tool used to find Demazure characters for $sl_n(\mathbb{C})$. This thesis gives methods to obtain the right and left keys by inspection of the semistandard Young tableau. Given a partition $\lambda$ and ... More

On the Phenomenology of Hidden Valleys with Heavy FlavorJun 14 2008A preliminary investigation of a large class of Hidden Valley models is presented. These models are more challenging than those considered in arXiv:0712.2041 [hep-ph]; although they produce a new light resonance which decays to heavy standard model fermions, ... More

On Phases of Gauge Theories and the Role of Non-BPS Solitons in Field TheoryAug 12 1998As shown in hep-th/9709081, non-BPS saturated solitons play an important role in the duality transformations of N=1 supersymmetric gauge theories. In particular, a massive spinor in an SO(N) gauge theory with massless matter in the vector representation ... More

On Renormalization Group Flows and Exactly Marginal Operators in Three DimensionsOct 27 1998As in two and four dimensions, supersymmetric conformal field theories in three dimensions can have exactly marginal operators. These are illustrated in a number of examples with N=4 and N=2 supersymmetry. The N=2 theory of three chiral multiplets X,Y,Z ... More

On Many-Minds Interpretations of Quantum TheoryMar 06 1997Nov 30 1997This paper is a response to some recent discussions of many-minds interpretations in the philosophical literature. After an introduction to the many-minds idea, the complexity of quantum states for macroscopic objects is stressed. Then it is proposed ... More

Algorithms for computing the optimal Lipschitz constant of interpolants with Lipschitz derivativeJul 11 2013Apr 13 2016One classical measure of the quality of an interpolating function is its Lipschitz constant. In this paper we consider interpolants with additional smoothness requirements, in particular that their derivatives be Lipschitz. We show that such a measure ... More

A Composition Formula for Asymptotic MorphismsJun 25 2010For graded $C^*$-algebras $A$ and $B$, we construct a semigroup ${\cal AP}(A,B)$ out of asymptotic pairs. This semigroup is similar to the semigroup $\Psi(A,B)$ of unbounded KK-modules defined by Baaj and Julg and there is a map $\Psi(A,B) \to {\cal AP}(A,B)$ ... More

PHENIX results on system size dependence of J/$ψ$ nuclear modification in $p$,$~d$, $^{3}$He+A collisions at $\sqrt{s_{NN}}$=200 GeVDec 20 2018The dissociation of quarkonia in the medium created in heavy ion collisions is still one of the most debated topics in the heavy ion community. Progress in understanding the effect relies on a broad range of measurements in collisions with different nuclear ... More

On the Work of Henry P. StappNov 24 2003For many years, Henry Stapp and I have been working separately and independently on mind-centered interpretations of quantum theory. In this review, I discuss his work and contrast it with my own. There is much that we agree on, both in the broad problems ... More

Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)Jul 13 2016We consider the nature of quantum properties in non-relativistic quantum mechanics (QM) and relativistic QFTs, and examine the connection between formal quantization schemes and intuitive notions of wave-particle duality. Based on the map between classical ... More

Graph CompartmentalizationJul 10 2014Aug 28 2014This article introduces a concept and measure of graph compartmentalization. This new measure allows for principled comparison between graphs of arbitrary structure, unlike existing measures such as graph modularity. The proposed measure is invariant ... More

Why Unparticle Models with Mass Gaps are Examples of Hidden ValleysJan 04 2008Jan 07 2008Hidden valleys, hidden sectors with multi-particle dynamics and a mass gap, can produce striking and unusual final states at the LHC. Unparticle models, hidden-sectors with conformal dynamics and no (or a very small) mass gap, can result in unusual kinematic ... More

The Duality CascadeMay 17 2005The duality cascade, and its dual description as string theory on the warped deformed conifold, brings together several sophisticated topics, some of which are not widely known. These lectures, which contain a number of previously unpublished results, ... More

Millenial Messages for QCD from the Superworld and from the StringSep 15 2003Supersymmetric gauge theories have had a significant impact on our understanding of QCD and of field theory in general. The phases of N=1 supersymmetric QCD (SQCD) are discussed, and the possibility of similar phases in non-supersymmetric QCD is emphasized. ... More

Non-Supersymmetric Theories with Light Scalar Fields and Large HierarchiesSep 11 2003Various nonsupersymmetric theories at large but finite $N$ are argued to permit light scalars and large hierarchies without fine-tuning. In a dual string description, the hierarchy results from competition between classical and quantum effects. In some ... More

Confining Phase of Three Dimensional Supersymmetric Quantum ElectrodynamicsDec 16 1999Abelian theories in three dimensions can have linearly confining phases as a result of monopole-instantons, as shown, for SU(2) Yang-Mills theory broken to its abelian subgroup, by Polyakov. In this article the generalization of this phase for N=2 supersymmetric ... More

A Counterexample to the Forward Recursion in Fuzzy Critical Path Analysis Under Discrete Fuzzy SetsMay 09 2016Fuzzy logic is an alternate approach for quantifying uncertainty relating to activity duration. The fuzzy version of the backward recursion has been shown to produce results that incorrectly amplify the level of uncertainty. However, the fuzzy version ... More

A Direct Way to Find the Right Key of a Semistandard Young TableauOct 27 2011The right and left key of a semistandard Young tableau were introduced by Lascoux and Schutzenberger in 1990. Most prominently, the right key is a tool used to find Demazure characters for sl(n,C). Previous methods used to compute these keys require introducing ... More

Compactness of derivations from commutative Banach algebrasOct 30 2009We consider the compactness of derivations from commutative Banach algebras into their dual modules. We show that if there are no compact derivations from a commutative Banach algebra, $A$, into its dual module, then there are no compact derivations from ... More

Recent PHENIX Results on Open Heavy FlavorAug 30 2011Throughout the history of the RHIC physics program, questions concerning the dynamics of heavy quarks have generated much experimental and theoretical investigation. A major focus of the PHENIX experiment is the measurement of these quarks through their ... More

QCD, Supersymmetric QCD, Lattice QCD and String Theory: Synthesis on the Horizon?Oct 27 1998Supersymmetric gauge theories in four dimensions have taught us many important physics lessons. These can both inform and be informed by future work on the lattice. I focus on three issues: the properties of supersymmetric Yang-Mills theory and its relation ... More

A Note on Measuring Charm and Bottom Forward-Backward Asymmetries at the TevatronFeb 03 2011The forward-backward asymmetry A_{FB}^t in top quark production at the Tevatron has been seen to be anomalously large both by CDF and D0. Parton-level asymmetries as large as 50%, with a large error bar, have been extracted from the data. It is important ... More

Manifolds of Fixed Points and Duality in Supersymmetric Gauge TheoriesFeb 05 1996There are many physically interesting superconformal gauge theories in four dimensions. In this talk I discuss a common phenomenon in these theories: the existence of continuous families of infrared fixed points. Well-known examples include finite ${\cal ... More

Finitary and Infinitary Mathematics, the Possibility of Possibilities and the Definition of ProbabilitiesJun 30 2003Some relations between physics and finitary and infinitary mathematics are explored in the context of a many-minds interpretation of quantum theory. The analogy between mathematical ``existence'' and physical ``existence'' is considered from the point ... More

Neural Unpredictability, the Interpretation of Quantum Theory, and the Mind-Body ProblemAug 06 2002Aug 07 2002It has been suggested, on the one hand, that quantum states are just states of knowledge; and, on the other, that quantum theory is merely a theory of correlations. These suggestions are confronted with problems about the nature of psycho-physical parallelism ... More

Instantaneous measurements of nonlocal variables in relativistic quantum theory (a review)May 17 2015This article reviews six historically important papers in the development of the theory of measurement for nonlocal variables in quantum mechanics, with special emphasis the non violation of relativistic causality. Spanning more than seventy years, we ... More

One-Instanton Tests of the Exact Results in N=2 Supersymmetric QCDJan 29 1997May 01 1997We use the microscopic instanton calculus to determine the one-instanton contribution to the quantum modulus u_3=<Tr(\phi^3)> in N=2 SU(N_c) supersymmetric QCD with N_f<2N_c fundamental flavors. This is compared with the corresponding prediction of the ... More

Robust descent using smoothed multiplicative noiseOct 15 2018To improve the off-sample generalization of classical procedures minimizing the empirical risk under potentially heavy-tailed data, new robust learning algorithms have been proposed in recent years, with generalized median-of-means strategies being particularly ... More

Classification using margin pursuitOct 11 2018In this work, we study a new approach to optimizing the margin distribution realized by binary classifiers. The classical approach to this problem is simply maximization of the expected margin, while more recent proposals consider simultaneous variance ... More

Relating the type A alcove path model to the right key of a semistandard Young tableau, with Demazure character consequencesJun 15 2015There are several combinatorial methods that can be used to produce type A Demazure characters (key polynomials). The alcove path model of Lenart and Postnikov provides a procedure that inputs a semistandard tableau $T$ and outputs a saturated chain in ... More

Flesh and Blood, or Merely Ghosts? Some Comments on the Multi-Muon Study at CDFNov 10 2008Nov 17 2008A recent paper by the CDF collaboration suggests (but does not claim) an anomalous event sample containing muons produced with large impact parameter, often with high multiplicity and at small angles from one another. This curious hint of a signal is ... More

An Unorthodox Introduction to Supersymmetric Gauge TheorySep 15 2003Numerous topics in three and four dimensional supersymmetric gauge theories are covered. The organizing principle in this presentation is scaling (Wilsonian renormalization group flow.) A brief introduction to scaling and to supersymmetric field theory, ... More

Messages for QCD from the SuperworldMar 10 1998Recent discoveries in supersymmetric gauge theories have significant implications for our understanding for QCD and of field theory in general. The phases of N=1 supersymmetric QCD (SQCD) are discussed, and the possibility of similar phases in non-supersymmetric ... More

Possible Effects of a Hidden Valley on Supersymmetric PhenomenologyJul 13 2006A hidden valley sector may havea profound impact on the classic phenomenology of supersymmetry. This occurs if the LSP lies in the valley sector. In addition to reducing the standard missing energy signals and possibly providing displaced vertices (phenomena ... More

Field Theory Without Feynman Diagrams: One-Loop Effective ActionsMay 05 1992In this paper the connection between standard perturbation theory techniques and the new Bern-Kosower calculational rules for gauge theory is clarified. For one-loop effective actions of scalars, Dirac spinors, and vector bosons in a background gauge ... More

A review of Johnjoe McFadden's book ``Quantum Evolution''Jan 04 2001In ``Quantum Evolution: Life in the Multiverse'' (HarperCollins, 2000), ISBN 0-00-255948-X, 0-00-655128-9, Johnjoe McFadden makes far-reaching claims for the importance of quantum physics in the solution of problems in biological science. In this review, ... More

Progress in a Many-Minds Interpretation of Quantum TheoryApr 01 1999In a series of papers, a many-minds interpretation of quantum theory has been developed. The aim in these papers is to present an explicit mathematical formalism which constitutes a complete theory compatible with relativistic quantum field theory. In ... More

Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)Jul 13 2016Oct 20 2016We consider the nature of quantum properties in non-relativistic quantum mechanics (QM) and relativistic QFTs, and examine the connection between formal quantization schemes and intuitive notions of wave-particle duality. Based on the map between classical ... More

One-instanton test of the exact prepotential for N=2 SQCD coupled to a symmetric tensor hypermultipletDec 02 1999Using the ADHM instanton calculus, we evaluate the one-instanton contribution to the low-energy effective prepotential of N=2 supersymmetric SU(N) Yang-Mills theory with N_F flavors of hypermultiplets in the fundamental representation and a hypermultiplet ... More

Cosmic Ray Muon Radiography Applications in Safeguards and Arms ControlJul 25 2018Muons are the most penetrating radiographic probe that exists today. These elementary particles possess a unique combination of physical properties that allows them to pass through dense, heavily shielded objects that are opaque to typical photon/neutron ... More

The Spectrum of the Axion Dark Sector, Cosmological Observable and Black Hole Superradiance ConstraintsNov 14 2018Consistent frameworks of quantum gravity often predict the existence of large numbers of ultralight pseudoscalar degrees of freedom, forming the phenomenological landscape of the String Axiverse. The complexity of the extra-dimensional compactification ... More

Atomistic Molecular Dynamics Simulations of Shock Compressed QuartzJul 11 2011Atomistic non-equilibrium molecular dynamics (NEMD) simulations of shock wave compression of quartz have been performed using the so-called BKS semi-empirical potential of van Beest, Kramer and van Santen to construct the Hugoniot of quartz. Our scheme ... More

Quantum Critical Behavior of the Cluster Glass PhaseDec 06 2006Oct 22 2007In disordered itinerant magnets with arbitrary symmetry of the order parameter, the conventional quantum critical point between the ordered phase and the paramagnetic Fermi-liquid (PMFL) is destroyed due to the formation of an intervening cluster glass ... More

Hard Scattering and Gauge/String DualitySep 21 2001We consider high-energy fixed-angle scattering of glueballs in confining gauge theories that have supergravity duals. Although the effective description is in terms of the scattering of strings, we find that the amplitudes are hard (power law). This is ... More

Deep Inelastic Scattering and Gauge/String DualitySep 25 2002We study deep inelastic scattering in gauge theories which have dual string descriptions. As a function of $gN$ we find a transition. For small $gN$, the dominant operators in the OPE are the usual ones, of approximate twist two, corresponding to scattering ... More

Schur-Weyl duality and the free Lie algebraJun 21 2015We prove an analogue of Schur-Weyl duality for the space of homogeneous Lie polynomials of degree r in n variables.

A strong maximum principle for the Paneitz operator and a non-local flow for the $Q$-curvatureJan 14 2014Aug 29 2014In this paper we consider Riemannian manifolds $(M^n,g)$ of dimension $n \geq 5$, with semi-positive $Q$-curvature and non-negative scalar curvature. Under these assumptions we prove $(i)$ the Paneitz operator satisfies a strong maximum principle; $(ii)$ ... More

Some new decomposable Specht modulesOct 03 2011Mar 13 2013We present (with proof) a new family of decomposable Specht modules for the symmetric group in characteristic 2. These Specht modules are labelled by partitions of the form $(a,3,1^b)$, and are the first new examples found for thirty years. Our method ... More

Progressive construction of a parametric reduced-order model for PDE-constrained optimizationJul 29 2014An adaptive approach to using reduced-order models as surrogates in PDE-constrained optimization is introduced that breaks the traditional offline-online framework of model order reduction. A sequence of optimization problems constrained by a given Reduced-Order ... More

Continuity of Relative Entropy of EntanglementOct 01 1999We show that an entanglement measure called relative entropy of entanglement satisfies a strong continuity condition. If two states are close to each other then so are their entanglements per particle pair in this measure. It follows in particular, that ... More

Software search is not a science, even among scientists: A survey of how scientists and engineers find softwareMay 08 2016May 28 2018Improved software discovery is a prerequisite for greater software reuse: after all, if someone cannot find software for a particular task, they cannot reuse it. Understanding people's approaches and preferences when they look for software could help ... More

The behavior of Chern scalar curvature under Chern-Ricci flowNov 26 2013In this note we study finite-time singularities in the Chern-Ricci flow. We show that finite-time singularities are characterized by the blow-up of the scalar curvature of the Chern connection.