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Results for "Paul Karanicolas"

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Improving Prognostic Value of CT Deep Radiomic Features in Pancreatic Ductal Adenocarcinoma Using Transfer LearningMay 23 2019Pancreatic ductal adenocarcinoma (PDAC) is one of the most aggressive cancers with an extremely poor prognosis. Radiomics has shown prognostic ability in multiple types of cancer including PDAC. However, the prognostic value of traditional radiomics pipelines, ... More
CNN-based Survival Model for Pancreatic Ductal Adenocarcinoma in Medical ImagingJun 25 2019Cox proportional hazard model (CPH) is commonly used in clinical research for survival analysis. In quantitative medical imaging (radiomics) studies, CPH plays an important role in feature reduction and modeling. However, the underlying linear assumption ... More
Improving Prognostic Performance in Resectable Pancreatic Ductal Adenocarcinoma using Radiomics and Deep Learning Features Fusion in CT ImagesJul 10 2019As an analytic pipeline for quantitative imaging feature extraction and analysis, radiomics has grown rapidly in the past a few years. Recent studies in radiomics aim to investigate the relationship between tumors imaging features and clinical outcomes. ... More
The dynamics of domain wall SkyrmionsMay 13 2013It has recently been shown that Skyrmions with a fixed size can exist in theories without a Skyrme term, providing the Skyrmion is located on a domain wall. Here we numerically compute domain wall Skyrmions of this type, in a (2+1)-dimensional O(3) sigma ... More
Do nuclear collisions create a locally equilibrated quark-gluon plasma?Sep 09 2016Experimental results on azimuthal correlations in high energy nuclear collisions (nucleus-nucleus, proton-nucleus and proton-proton) seem to be well described by viscous hydrodynamics. It is often argued that this agreement implies either local thermal ... More
Universal SimilarityApr 20 2005Jul 07 2005We survey a new area of parameter-free similarity distance measures useful in data-mining, pattern recognition, learning and automatic semantics extraction. Given a family of distances on a set of objects, a distance is universal up to a certain precision ... More
On exponentiation and infinitesimal one-parameter subgroups of reductive groupsSep 26 2012Let $G$ be a reductive algebraic group over an algebraically closed field $k$ of characteristic $p>0$, and assume $p$ is good for $G$. Let $P$ be a parabolic subgroup with unipotent radical $U$. For $r \ge 1$, denote by $\mathbb{G}_{a(r)}$ the $r$-th ... More
Springer Isomorphisms In Characteristic $p$Oct 17 2012Jun 20 2015Let $G$ be a simple algebraic group over an algebraically closed field of characteristic $p$, and assume that $p$ is a very good prime for $G$. Let $P$ be a parabolic subgroup whose unipotent radical $U_P$ has nilpotence class less than $p$. We show that ... More
Kenneth G. Wilson: Renormalized After-Dinner AnecdotesJul 07 2014Oct 07 2014This is the transcript of the after-dinner talk I gave at the close of the 16 Nov 2013 symposium "Celebrating the Science of Kenneth Geddes Wilson" [1] at Cornell University (see Fig. 1 for the poster). The video of my talk is on-line [2], and this transcript ... More
Hilbert-Kunz theory for nodal cubics, via sheavesDec 10 2010Jan 11 2011Suppose B=F[x,y,z]/h is the homogeneous coordinate ring of a characteristic p degree 3 irreducible plane curve C with a node. Let J be a homogeneous (x,y,z)-primary ideal and n -> e_n be the Hilbert-Kunz function of B with respect to J. Let q=p^n. When ... More
Bijective Term EncodingsDec 16 2011We encode/decode Prolog terms as unique natural numbers. Our encodings have the following properties: a) are bijective b) natural numbers always decode to syntactically valid terms c) they work in low polynomial time in the bitsize of the representations ... More
Tree-based Arithmetic and Compressed Representations of Giant NumbersJan 01 2013Can we do arithmetic in a completely different way, with a radically different data structure? Could this approach provide practical benefits, like operations on giant numbers while having an average performance similar to traditional bitstring representations? ... More
Universalized Prisoner's Dilemma With RiskSep 15 2015In this paper I present a mathematically novel approach to the Prisoner's Dilemma. I do so by first defining recursively a distinct action type, what I call 'universalizing', that I add to the original prisoner's dilemma. Such a modified version of the ... More
Online Local Learning via Semidefinite ProgrammingMar 20 2014In many online learning problems we are interested in predicting local information about some universe of items. For example, we may want to know whether two items are in the same cluster rather than computing an assignment of items to clusters; we may ... More
Intermediate-Age Globular Clusters in Merger RemnantsNov 08 2002Recent observations of globular clusters in intermediate-age (2-4 Gyr old) merger remnants have provided the hitherto `missing link' between between young merger remnants and normal elliptical galaxies. The luminosity functions (LFs) of the `blue' globular ... More
The Distribution of Dust and Gas in Elliptical GalaxiesJan 30 1996Results from IRAS and recent optical CCD surveys are examined to discuss the distribution and origin of dust and ionized gas in elliptical galaxies. In strong contrast with the situation among spiral galaxies, masses of dust in elliptical galaxies as ... More
Communication Requirements for Generating Correlated Random VariablesMay 01 2008Two familiar notions of correlation are rediscovered as extreme operating points for simulating a discrete memoryless channel, in which a channel output is generated based only on a description of the channel input. Wyner's "common information" coincides ... More
Prime and primary ideals in characteristic oneOct 31 2013We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version. Lastly, we study Evans'condition ... More
Bernstein processes, Euclidean Quantum Mechanics and Interest Rate ModelsNov 11 2009Oct 27 2011We give an exposition, following joint works with J.-C. Zambrini, of the link between Euclidean Quantum Mechanics, Bernstein processes and isovectors for the heat equation. A new application to Mathematical Finance is then discussed.
Interaction of the AGN and X-ray Emitting GasOct 07 2003The process that prevents the deposition of cooled gas in cooling flows must rely on feedback in order to maintain gas with short cooling times, while preventing the bulk of the gas from cooling to low temperatures. The primary candidate for the feedback ... More
Independences and Partial $R$-Transforms in Bi-Free ProbabilityOct 16 2014Jun 05 2015In this paper, we examine how various notions of independence in non-commutative probability theory arise in bi-free probability. We exhibit how Boolean and monotone independence occur from bi-free pairs of faces and establish a Kac/Loeve Theorem for ... More
On a Notion of Exactness for Reduced Free Products of C*-AlgebrasFeb 24 2012May 18 2012We will study some modifications to the notion of an exact C*-algebra by replacing the minimal tensor product with the reduced free product. First we will demonstrate how the reduced free product of a short exact sequence of C*-algebras with another C*-algebra ... More
Lagrangian Non-IntersectionsDec 06 2004Mar 20 2005In this paper we use Floer theory to study topological restrictions on Lagrangian embeddings in closed symplectic manifolds. One of the phenomena arising from our results is ``homological rigidity'' of Lagrangian submanifolds. Namely, in certain symplectic ... More
Killing Form on Quasitriangular Hopf Algebras and Quantum Lie AlgebrasMay 23 1995The basics of quasitriangular Hopf algebras and quantum Lie algebras are briefly reviewed, and it is shown that their properties allow the introduction of a Killing form. For quantum Lie algebras, this leads to the definitions of a Killing metric and ... More
A more general abc conjectureJun 09 1998This note formulates a conjecture generalizing both the abc conjecture of Masser-Oesterl\'e and the author's diophantine conjecture for algebraic points of bounded degree. It also shows that the new conjecture is implied by the earlier conjecture. As ... More
Fiber bundle description of number scaling in gauge theory and geometryDec 03 2014Jun 24 2015This work uses fiber bundles as a framework to describe some effects of number scaling on gauge theory and some geometric quantities. A description of number scaling and fiber bundles over a flat space time manifold, M, is followed by a description of ... More
Representations of Each Number Type that Differ by Scale FactorsFeb 16 2011For each type of number, structures that differ by arbitrary scaling factors and are isomorphic to one another are described. The scaling of number values in one structure, relative to the values in another structure, must be compensated for by scaling ... More
The Theory Experiment Connection: Rn Space and Inflationary CosmologyOct 20 2004Oct 21 2004Based on a discussion of the theory experiment connection, it is proposed to tighten the connection by replacing the real and complex number basis of physical theories by sets R_{n},C_{n} of length 2n finite binary string numbers. The form of the numbers ... More
Resource Limited Theories and their ExtensionsMar 13 2003Apr 24 2003This work is based on the idea that extension of physical and mathematical theories to include the amount of space, time, momentum, and energy resources required to determine properties of systems may influence what is true in physics and mathematics ... More
Language is PhysicalOct 31 2002Some aspects of the physical nature of language are discussed. In particular, physical models of language must exist that are efficiently implementable. The existence requirement is essential because without physical models no communication or thinking ... More
Quantum Robots and EnvironmentsFeb 26 1998Apr 28 1998Quantum robots and their interactions with environments of quantum systems are described and their study justified. A quantum robot is a mobile quantum system that includes a quantum computer and needed ancillary systems on board. Quantum robots carry ... More
Models of Quantum Turing machinesAug 28 1997Quantum Turing machines are discussed and reviewed in this paper. Most of the paper is concerned with processes defined by a step operator $T$ that is used to construct a Hamiltonian $H$ according to Feynman's prescription. Differences between these models ... More
Effects of a scalar scaling field on quantum mechanicsDec 17 2015This paper describes the effects of a complex scalar scaling field on quantum mechanics. The field origin is an extension of the gauge freedom for basis choice in gauge theories to the underlying scalar field. The extension is based on the idea that the ... More
Gauge theory extension to include number scaling by boson field: Effects on some aspects of physics and geometryNov 14 2012Dec 20 2012In gauge theories, separate vector spaces, Vx, are assigned to each space time point x with unitary operators as maps between basis vectors in neighboring Vx. Here gauge theories are extended by replacing the single underlying set of complex scalars, ... More
New Gauge Field from Extension of Space Time Parallel Transport of Vector Spaces to the Underlying Number SystemsAug 18 2010Jan 13 2011One way of describing gauge theories in physics is to assign a vector space $V_{x}$ to each space time point $x.$ For each $x$ the field $\psi$ takes values $\psi(x)$ in $V_{x}.$ The freedom to choose a basis in each $V_{x}$ introduces gauge group operators ... More
Towards a Coherent Theory of Physics and Mathematics: The Theory-Experiment ConnectionMar 29 2004Jun 24 2004The problem of how mathematics and physics are related at a foundational level is of much interest. One approach is to work towards a coherent theory of physics and mathematics together. Here steps are taken in this direction by first examining the theory ... More
Escaping the Trap of too Precise Topic QueriesMay 24 2013At the very center of digital mathematics libraries lie controlled vocabularies which qualify the {\it topic} of the documents. These topics are used when submitting a document to a digital mathematics library and to perform searches in a library. The ... More
Lattice Filtrations for G_2 of a p-adic FieldSep 06 2012The exceptional group $G_2$, when constructed over $Q_p$, may at the same time be considered as the group of automorphisms of an octonion algebra over $Q_p$, or alternatively it may be constructed as a Chevalley group from the root diagram of the appropriate ... More
Hyperbolic vortices with large magnetic fluxApr 02 2012There has been some recent interest in the study of non-abelian BPS monopoles in the limit of large magnetic charge. Most investigations have used a magnetic bag approximation, in which spherical symmetry is assumed within an abelian description. In particular, ... More
Domain wall networks on solitonsMay 22 2003Jun 03 2003Domain wall networks on the surface of a soliton are studied in a simple theory. It consists of two complex scalar fields, in (3+1)-dimensions, with a global U(1) x Z_n symmetry, where n>2. Solutions are computed numerically in which one of the fields ... More
Multi-Skyrmions with Vector MesonsOct 30 2008Apr 20 2009It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multi-Skyrmions in such a theory. The rational map ansatz is used to investigate multi-Skyrmions ... More
Instantons and the BuckyballSep 16 2003The study of Skyrmions predicts that there is an icosahedrally symmetric charge seventeen SU(2) Yang-Mills instanton in which the topological charge density, for fixed Euclidean time, is localized on the edges of the truncated icosahedron of the buckyball. ... More
Monopole ZerosMar 11 1996Recently the existence of certain SU(2) BPS monopoles with the symmetries of the Platonic solids has been proved. Numerical results in an earlier paper suggest that one of these new monopoles, the tetrahedral 3-monopole, has a remarkable new property, ... More
Bars from the Inside Out: An HST Study of their Dusty Circumnuclear RegionsJun 29 2004The results of bar-driven mass inflow are directly observable in high-resolution HST observations of their circumnuclear regions. These observations reveal a wealth of structures dominated by dust lanes, often with a spiral-like morphology, and recent ... More
Why does Low-Luminosity AGN Fueling Remain an Unsolved Problem?Apr 21 2004Despite many years of effort, observational studies have not found a strong correlation between the presence of any proposed fueling mechanism and low-luminosity AGN. After a discussion of the mass requirements for fueling, I summarize this observational ... More
A Deep Multicolor Survey. VII. Extremely Red Objects and Galaxy FormationSep 19 2000Jan 31 2001Extremely Red Objects (EROs) offer a window to the universe at z~1 analogous to that provided by the Lyman Break galaxies at z=3. Passive evolution and hierarchical galaxy formation models make very distinct predictions for the K (2.2um) surface density ... More
Penrose's circles in the CMB and a test of inflationJul 07 2011Oct 12 2012We present a calculation of the angular size of the circles in the CMB predicted by Penrose on the basis of his Conformal Cyclic Cosmology. If these circles are detected, the existence of an upper limit on their angular radius would provide a challenge ... More
On analytic asymptotically-flat vacuum and electrovac metrics, periodic in timeFeb 06 2009May 05 2010By an argument similar to that of Gibbons and Stewart (1984), we show that there are no weakly-asymptotically-simple, analytic vacuum or electrovac solutions of the Einstein equations which are periodic in time.
HERA Inclusive Diffraction and Factorisation TestsAug 24 2009HERA measurements of diffractive ep scattering - the quasi-elastic scattering of the photon in the proton colour field - are summarised. Emphasis is placed on the most recent data.
Recent Experimental Results on Soft Strong InteractionsFeb 21 2013This report contains selected recent highlights from experimental studies of soft and semi-hard strong interactions from the Large Hadron Collider, HERA and the Tevatron. The subject is broken down into diffractive and non-diffractive channels and the ... More
Recent Low x and Diffractive Collider DataJan 11 2000Selected recent data from collider experiments pertaining to the understanding of QCD at low Bjorken-x are reviewed. The status of QCD and Regge factorisation in hard diffractive interactions is discussed in terms of data from HERA and the Tevatron. The ... More
Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an overviewJul 04 2003Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider an ordered pair of linear transformations $A:V\to V$ and $A^*:V\to V$ that satisfy conditions (i), (ii) below. (i) There exists a basis for $V$ ... More
Perturbative QCD with Quark and Gluon CondensatesSep 26 2002The quark <\bar\psi \psi> and gluon <F_{\mu\nu}F^{\mu\nu}> vacuum expectation values are non-vanishing at low orders in \alpha_s when the perturbative ground state includes quark and gluon pairs. This offers possibilities of studying the effects of a ... More
Duality in Semi-Exclusive ProcessesAug 21 2002Bloom-Gilman duality relates parton distributions to nucleon form factors and thus constrains the dynamics of exclusive processes. The quark electric charge dependence implies that exclusive scattering is incoherent on the quarks even at high momentum ... More
A Perturbative Gluon CondensateSep 24 1997There is considerable freedom in setting boundary conditions to perturbation theory at $t=\pm\infty$. The standard PQED and PQCD expansions are based on the (empty) perturbative vacuum. Since the true QCD ground state is expected to have a condensate ... More
QCD factorization at fixed Q^2(1-x)Mar 28 2009Amplitudes of hard {\it exclusive} processes such as \gamma^*(Q^2) N \to \gamma Y, where Y=N (DVCS) or any other state with a limited mass (M_Y^2 << Q^2), factorize into a hard subprocess amplitude and a target (transition) GPD. The corresponding {\it ... More
Comments on the Relativity of ShapeAug 28 2006In this talk I address three topics related to the shape of hadrons: 1. The Lorentz contraction of bound states. Few dedicated studies of this exist - I describe a recent calculation for ordinary atoms (positronium). 2. Does the A-dependence of nuclear ... More
Probing QCD at Medium Q^2Aug 20 2002Quantum Chromodynamics (QCD) is a firmly established part of the Standard Model, yet its long distance properties remain challenging at a conceptual level. In recent years significant experimental and theoretical progress has been made towards a field ... More
Nuclear Effects in Charm ProductionNov 24 1995I briefly review our understanding of the nuclear target dependence of charm and charmonium production, in view of charm physics at Elfe.
A spectral sequence for Khovanov homology with an application to (3,q)-torus linksJun 15 2006A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3,q)-torus links.
Note on a paradox in decision-theoretic interval estimationMay 22 2012Confidence intervals are assessed according to two criteria, namely expected length and coverage probability. In an attempt to apply the decision-theoretic method to finding a good confidence interval, a loss function that is a linear combination of the ... More
The Physics of New U(1)' Gauge BosonsSep 17 2009Nov 30 2009Additional Z' gauge bosons are predicted by a wide variety of extensions of the standard model (SM). Possibilities include TeV-scale bosons with electroweak coupling, very light bosons which nearly decouple from the standard model particles, and bosons ... More
Recent Developments in Precision Electroweak PhysicsNov 05 2002Developments in precision electroweak physics in the two years since the symposium are briefly summarized.
Solar NeutrinosNov 19 1994The status of the solar neutrino problem is reviewed. Attempts to explain the observed deficit and spectral distortion, both by astrophysical and particle physics methods, are described. It is argued that the comparison of all experiments strongly prefers ... More
The Two Paradigms of Software DesignMar 24 2013The dominant view of design in information systems and software engineering, the Rational Design Paradigm, views software development as a methodical, plan-centered, approximately rational process of optimizing a design candidate for known constraints ... More
The Sensemaking-Coevolution-Implementation Theory of Software DesignFeb 17 2013Understanding software design practice is critical to understanding modern information systems development. New developments in empirical software engineering, information systems design science and the interdisciplinary design literature combined with ... More
Highlights from Heavy Ion Collisions at RHIC and the Acoustics of the Little BangsJan 03 2012At the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory, heavy nuclei are collided at high energies to create matter that is hot enough and dense enough to dissolve hadrons into a quark-gluon-plasma (QGP). In this lecture, dedicated ... More
Interpreting Near-side CorrelationsNov 18 2008Recent data from heavy ion collisions at RHIC show strong near-side correlations extending over several units of rapidity. This ridge-like correlation exhibits an abrupt onset with collision centrality. In this talk, I argue that the centrality and beam-energy ... More
Azimuthal anisotropy of K^0_S and Lambda production at mid-rapidity from Au+Au collisions at root s_NN = 130 GeVAug 22 2002We report STAR results on the azimuthal anisotropy parameter v2 for strange particles K0S and Lambda at midrapidity in Au+Au collisions at /s_NN = 130 GeV at RHIC. The value of v2 as a function of transverse momentum pt and collision centrality is presented ... More
A Scalable, Linear-Time Dynamic Cutoff Algorithm for Molecular Simulations of Interfacial SystemsFeb 11 2015This master thesis introduces the idea of dynamic cutoffs in molecular dynamics simulations, based on the distance between particles and the interface, and presents a solution for detecting interfaces in real-time. Our dynamic cutoff method (DCM) exhibits ... More
The Lusztig automorphism of $U_q(\mathfrak{sl}_2)$ from the equitable point of viewSep 29 2015We consider the quantum algebra $U_q(\mathfrak{sl}_2)$ in the equitable presentation. From this point of view, we describe the Lusztig automorphism and the corresponding Lusztig operator.
Loop models and their critical pointsSep 19 2006Nov 29 2006Loop models have been widely studied in physics and mathematics, in problems ranging from polymers to topological quantum computation to Schramm-Loewner evolution. I present new loop models which have critical points described by conformal field theories. ... More
Kinks in the Kondo problemApr 19 1993We find the exact quasiparticle spectrum for the continuum Kondo problem of $k$ species of electrons coupled to an impurity of spin $S$. In this description, the impurity becomes an immobile quasiparticle sitting on the boundary. The particles are ``kinks'', ... More
Quantum loop models and the non-abelian toric codeNov 01 2007I define quantum loop models whose degrees of freedom are Ising spins on the square lattice as in the toric code, but where the excitations should have non-abelian statistics. The inner product is topological, allowing a direct implementation of the anyonic ... More
Sigma models as perturbed conformal field theoriesJun 04 1999Jun 07 2001We show that two-dimensional sigma models are equivalent to certain perturbed conformal field theories. When the fields in the sigma model take values in a space G/H for a group G and a maximal subgroup H, the corresponding conformal field theory is the ... More
Excited-state energies and supersymmetric indicesJun 24 1997Sep 22 1997We study multi-soliton states in two-dimensional N=2 supersymmetric theories. We calculate their energy exactly as a function of mass and volume in the simplest integrable N=2 theory, the sine-Gordon model at a particular coupling. These energies are ... More
Excited-state thermodynamicsSep 11 1991In the last several years, the Casimir energy for a variety of 1+1-dimensional integrable models has been determined from the exact S-matrix. It is shown here how to modify the boundary conditions to project out the lowest-energy state, which enables ... More
Flow-correlated dilution of a regular network leads to a percolating network during tumor induced angiogenesisNov 27 2007Sep 16 2009We study a simplified stochastic model for the vascularization of a growing tumor, incorporating the formation of new blood vessels at the tumor periphery as well as their regression in the tumor center. The resulting morphology of the tumor vasculature ... More
A geometric construction of types for the smooth representations of PGL(2) of a local fieldMar 26 2012We show that almost all (Bushnell and Kutzko) types of PGL(2,F), F a non-Archimedean locally compact field of odd residue characteristic, naturally appear in the cohomology of finite graphs.
Fukaya A_\infty-structures associated to Lefschetz fibrations. II 1/2Apr 23 2015Nov 11 2015We consider a version of the relative Fukaya category for anticanonical Lefschetz pencils. There are direct connections between the behaviour of this category and enumerative geometry: some of these are results announced here, others remain conjectural. ... More
Fukaya A_\infty structures associated to Lefschetz fibrations. IIApr 04 2014Jul 21 2015We consider the Fukaya category associated to a basis of vanishing cycles in a Lefschetz fibration. We show that each element of the Floer cohomology of the monodromy around infinity gives rise to a natural transformation from the Serre functor to the ... More
Simple examples of distinct Liouville-type symplectic structuresNov 05 2010Dec 13 2010We discuss some examples of open manifolds which admit non-isomorphic symplectic structures of Liouville type.
A biased view of symplectic cohomologyApr 16 2007Feb 15 2010These are lecture notes from my talks at the "Current Developments in Mathematics" conference (Harvard, 2006). They cover a variety of topics involving symplectic cohomology. In particular, a discussion of (algorithmic) classification issues in symplectic ... More
Lectures on four-dimensional Dehn twistsSep 01 2003Aug 09 2006These are notes from the 2003 C.I.M.E. summer school "symplectic 4-manifolds and algebraic surfaces". They cover the same material as the author's (by now ancient) Ph.D. thesis.
Wide-field tracking with zenth-pointing telescopesJun 12 2001Equipped with a suitable optical relay system, telescopes employing low-cost fixed primary mirrors could point and track while delivering high-quality images to a fixed location. Such an optical tracking system would enable liquid-mirror telescopes to ... More
A first-principles study of helium storage in oxides and at oxide--iron interfacesSep 02 2011Jan 14 2012Density-functional theory calculations based on conventional as well as hybrid exchange-correlation functionals have been carried out to study the properties of helium in various oxides (Al2O3, TiO2, Y2O3, YAP, YAG, YAM, MgO, CaO, BaO, SrO) as well as ... More
Fluid turbulence and eddy viscosity in relativistic heavy-ion collisionsOct 01 2007The eddy viscosity for a turbulent compressible fluid with a relativistic equation of state is derived. Compressibility allows for sound modes, but the eddy viscosity in the shear mode is found to be the same as for incompressible fluids. For two space ... More
Cold deconfined matter EOS through an HTL quasi-particle modelOct 24 2002Jan 07 2003Using quasi-particle models, lattice data can be mapped to finite chemical potential. By comparing a simple and an HTL quasi-particle model, we derive the general trend that a full inclusion of the plasmon effect will give.
Relativistic Viscous Fluid Dynamics and Non-Equilibrium EntropyJun 26 2009Jan 22 2010Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains the most general ... More
New Developments in Relativistic Viscous HydrodynamicsFeb 20 2009Oct 12 2009Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized second law ... More
Momentum Broadening in an Anisotropic PlasmaJul 29 2006Jan 11 2007The rates governing momentum broadening in a quark-gluon plasma with a momentum anisotropy are calculated to leading-log order for a heavy quark using kinetic theory. It is shown how the problematic singularity for these rates at leading-oder is lifted ... More
3-Gyr-old Globular Clusters in the Merger Remnant NGC 1316: Implications for the Fate of Globular Clusters Formed During Gas-rich Galaxy MergersAug 13 2001The giant early-type merger remnant galaxy NGC 1316 is an ideal probe for studying the long-term effects of a major merger on its globular cluster (GC) system, given its spectroscopically derived merger age of 3 Gyr which we reported in a recent paper. ... More
The reverse mathematics of the Tietze extension theoremFeb 17 2016We prove that several versions of the Tietze extension theorem for functions with moduli of uniform continuity are equivalent to WKL_0 over RCA_0. This confirms a conjecture of Giusto and Simpson that was also phrased as a question in Montalb\'an's "Open ... More
When Students Choose to Use Event-B in their Software Engineering ProjectsNov 29 2016Students often learn formal methods as part of a software engineering degree programme, without applying these formal methods outside of the specific module(s) dedicated to this subject. In particular, software engineering students often have to build ... More
On the Newton stratification in the good reduction of Shimura varietiesMay 18 2016I construct a generalisation of Mantovan's almost product structure to Shimura varieties of Hodge type with hyperspecial level structure at $p$ and deduce that the perfection of the Newton strata are pro-\'etale locally isomorphic to the perfection of ... More
Lectures on Bound statesMay 05 2016Even a first approximation of bound states requires contributions of all powers in the coupling. This means that the concept of "lowest order bound state" needs to be defined. In these lectures I discuss the "Born" (no loop, lowest order in $\hbar$) approximation. ... More
Mobile Robot Navigation on Partially Known Maps using a Fast A Star Algorithm VersionApr 29 2016May 10 2016Mobile robot navigation in total or partially unknown environments is still an open problem. The path planning algorithms lack completeness and/or performance. Thus, there is the need for complete (i.e., the algorithm determines in finite time either ... More
Transition to turbulence in wall-bounded flows: Where do we stand?Apr 04 2016In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows and present recent achievements in the understanding of this problem. The transition is abrupt with laminar-turbulent coexistence over a finite range of Reynolds ... More
An elemental Erdős-Kac theorem for algebraic number fieldsMar 17 2016Fix a number field $K$. For each nonzero $\alpha \in \mathbb{Z}_K$, let $\nu(\alpha)$ denote the number of distinct, nonassociate irreducible divisors of $\alpha$. We show that $\nu(\alpha)$ is normally distributed with mean proportional to $(\log\log ... More
Effect of number scaling on entangled states in quantum mechanicsMar 15 2016A summary of number structure scaling is followed by a description of the effects of number scaling in nonrelativistic quantum mechanics. The description extends earlier work to include the effects on the states of two or more interacting particles. Emphasis ... More