Results for "Richard Mann"

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Generation of Infra sound to replicate a wind turbineMay 02 2018We have successfully produced infrasound, as a duplicate of that produced by Industrial Wind Turbines. We have been able to produce this Infrasound inside a research chamber, capable of accommodating a human test subject. It is our vision that this project ... More
Towards a fully predictive model of flight paths in pigeons navigating in the familiar area: prediction across differing individualsApr 20 2016This paper will detail the basis of our previously developed predictive model for pigeon flight paths based on observations of the specific individual being predicted. We will then describe how this model can be adapted to predict the flight of a new, ... More
Learning Sparse Wavelet RepresentationsFeb 08 2018In this work we propose a method for learning wavelet filters directly from data. We accomplish this by framing the discrete wavelet transform as a modified convolutional neural network. We introduce an autoencoder wavelet transform network that is trained ... More
Minorities report: optimal incentives for collective intelligenceNov 11 2016Collective intelligence is the ability of a group to perform more effectively than any individual alone. Diversity among group members is a key condition for the emergence of collective intelligence, but maintaining diversity is challenging in the face ... More
Unboundedness of some higher Euler classesSep 11 2017In this paper, we study Euler classes in groups of homeomorphisms of Seifert fibered 3-manifolds. We show that, in contrast to the familiar Euler class for $\mathrm{Homeo}_0(S^1)^\delta$, these Euler classes for $\mathrm{Homeo}_0(M^3)^\delta$ are unbounded ... More
The entropic basis of collective behaviourSep 24 2014In this paper, we identify a radically new viewpoint on the collective behaviour of groups of intelligent agents. We first develop a highly general abstract model for the possible future lives that these agents may encounter as a result of their decisions. ... More
Components of spaces of surface group representationsSep 11 2013Nov 13 2013We give a new lower bound on the number of connected components of the space of representations of a surface group into the group of orientation preserving homeomorphisms of the circle. Precisely, for the fundamental group of a genus g surface, we show ... More
Character degrees of some $p$-groupsFeb 15 2016We restrict the possibilities for the character degrees of $p$-groups $G$ satisfying $|G:G'| = p^2$. E.g. if $G$ is of maximal class and has an irreducible character of degree $> p$, then it has such a character of degree at most $p^{\frac{p+1}{2}}$.
A New Approach to Black Hole MicrostatesMay 30 1998If one encodes the gravitational degrees of freedom in an orthonormal frame field there is a very natural first order action one can write down (which in four dimensions is known as the Goldberg action). In this essay we will show that this action contains ... More
A note on the duality between interaction responses and mutual positions in flocking and schoolingApr 28 2014Jul 04 2014Background: Recent research in animal behaviour has contributed to determine how alignment, turning responses, and changes of speed mediate flocking and schooling interactions in different animal species. Here, we address specifically the problem of what ... More
Imaging a Nitrogen-Vacancy Center with a Diamond Immersion MetalensNov 02 2017Solid-state quantum emitters have emerged as robust single-photon sources and addressable spins: key components in rapidly developing quantum technologies for broadband magnetometry, biological sensing, and quantum information science. Performance in ... More
Complex Spinors and Unified TheoriesJun 19 2013In this paper delivered by Murray Gell-Mann at the Stony Brook Supergravity Workshop in 1979, several paths to unification are discussed, from N=8 supergravity to $SU_5$, $SO_{10}$, and $E_6$. Generalizations of $SO_{10}$ to spinor representations of ... More
Structure theorems for actions of homeomorphism groupsFeb 13 2019Mar 29 2019We give an orbit classification theorem and a general structure theorem for actions of groups of homeomorphisms and diffeomorphisms on manifolds, reminiscent of classical results for actions of (locally) compact groups. . As applications, we give a negative ... More
Structure theorems for actions of homeomorphism groupsFeb 13 2019We give an orbit classification theorem and a general structure theorem for actions of groups of homeomorphisms and diffeomorphisms on manifolds. As applications, we give a negative answer to Ghys' "extension problem" for diffeomorphisms of manifolds ... More
Perfect IFG-formulasFeb 15 2008IFG logic is a variant of the independence-friendly logic of Hintikka and Sandu. We answer the question: ``Which IFG-formulas are equivalent to ordinary first-order formulas?'' We use the answer to show that the ordinary cylindric set algebra over a structure ... More
Enhancing nanomechanical squeezing by atomic interactions in a hybrid atom-optomechanical systemNov 13 2018In a hybrid atom-optomechanical system, the optical coupling of a mechanical mode of a nanomembrane in an optical cavity with a distant interacting atom gas permits highly non-classical quantum many-body states. We show that the mechanical mode can be ... More
Independence-friendly cylindric set algebrasNov 27 2007Independence-friendly logic is a conservative extension of first-order logic that has the same expressive power as existential second-order logic. In her Ph.D. thesis, Dechesne introduces a variant of independence-friendly logic called IFG logic. We attempt ... More
Rigid motion revisited: rigid quasilocal framesOct 01 2008Nov 30 2008We introduce the notion of a rigid quasilocal frame (RQF) as a geometrically natural way to define a "system" in general relativity. An RQF is defined as a two-parameter family of timelike worldlines comprising the worldtube boundary of the history of ... More
On the Existence and Utility of Rigid Quasilocal FramesJul 07 2013The notion of a rigid quasilocal frame (RQF) provides a geometrically natural way to define a system in general relativity, and a new way to analyze the problem of motion. An RQF is defined as a two-parameter family of timelike worldlines comprising the ... More
Quasilocal Conservation Laws: Why We Need ThemJun 27 2012We argue that conservation laws based on the local matter-only stress-energy-momentum tensor (characterized by energy and momentum per unit volume) cannot adequately explain a wide variety of even very simple physical phenomena because they fail to properly ... More
Bayesian Optimal Active Search and SurveyingJun 27 2012We consider two active binary-classification problems with atypical objectives. In the first, active search, our goal is to actively uncover as many members of a given class as possible. In the second, active surveying, our goal is to actively query points ... More
Momentum in General Relativity: Local versus Quasilocal Conservation LawsJun 24 2013We construct a general relativistic conservation law for linear and angular momentum for matter and gravitational fields in a finite volume of space that does not rely on any spacetime symmetries. This work builds on our previous construction of a general ... More
Paravectors and the Geometry of 3D Euclidean SpaceOct 22 2018We introduce the concept of paravectors to describe the geometry of points in a three dimensional space. After defining a suitable product of paravectors, we introduce the concepts of biparavectors and triparavectors to describe line segments and plane ... More
Holographic Complexity and Charged Scalar FieldsFeb 05 2019Feb 08 2019We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries of a charged ... More
Holographic Renormalization of Asymptotically Flat GravityOct 14 2012Nov 24 2012We compute the boundary stress tensor associated with Mann-Marolf counterterm in asymptotic flat and static spacetime for cylindrical boundary surface as $r \rightarrow \infty$, and find that the form of the boundary stress tensor is the same as the hyperbolic ... More
Alternative Decohering Histories in Quantum MechanicsMay 14 2019We continue our efforts to understand, within the framework of the quantum mechanics of the universe as a whole, the quasiclassical realm of familiar experience as a feature emergent from the Hamiltonian of the elementary particles and the initial condition ... More
Light Cone Current AlgebraJan 17 2003This talk follows by a few months a talk by the same authors on nearly the same subject at the Coral Gables Conference. The ideas presented here are basically the same, but with some amplification, some change of viewpoint, and a number of new questions ... More
Exact Charged 2-Body Motion and the Static Balance Condition in Lineal GravityMay 08 2001We find an exact solution to the charged 2-body problem in $(1+1)$ dimensional lineal gravity which provides the first example of a relativistic system that generalizes the Majumdar-Papapetrou condition for static balance.
Exact Solution for the Metric and the Motion of Two Bodies in (1+1) Dimensional GravityNov 04 1996We present the exact solution of two-body motion in (1+1) dimensional dilaton gravity by solving the constraint equations in the canonical formalism. The determining equation of the Hamiltonian is derived in a transcendental form and the Hamiltonian is ... More
Strong distortion in transformation groupsOct 21 2016Sep 28 2017We discuss boundedness and distortion in transformation groups. We show that the groups $\mathrm{Diff}^r_0(\mathbb{R}^n)$ and $\mathrm{Diff}^r(\mathbb{R}^n)$ have the strong distortion property, whenever $0 \leq r \leq \infty, r \neq n+1$. This implies ... More
Exact Relativistic Two-Body Motion in Lineal GravityNov 18 1998Mar 31 1999We consider the N-body problem in (1+1) dimensional lineal gravity. For 2 point masses (N=2) we obtain an exact solution for the relativistic motion. In the equal mass case we obtain an explicit expression for their proper separation as a function of ... More
Quadratically regularized optimal transportMar 04 2019We investigate the problem of optimal transport in the so-called Kantorovich form, i.e. given two Radon measures on two compact sets, we seek an optimal transport plan which is another Radon measure on the product of the sets that has these two measures ... More
On the Reliability of RAID Systems: An Argument for More Check DrivesFeb 16 2012In this paper we address issues of reliability of RAID systems. We focus on "big data" systems with a large number of drives and advanced error correction schemes beyond \RAID{6}. Our RAID paradigm is based on Reed-Solomon codes, and thus we assume that ... More
Gravitation and Cosmology in Generalized (1+1)-dimensional dilaton gravityAug 25 1994The actions of the ``$R=T$'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss differing interpretations of the matter stress-energy tensor, and show ... More
Mass inflation in (1+1)-dimensional Dilaton GravityJun 14 1994We investigate the phenomenon of mass inflation in two-dimensional dilaton theories of gravity. We consider two distinct black hole spacetimes and construct the mass-inflation solution for each. Our analysis is extended to include multi-horizon spacetimes. ... More
Quadratically regularized optimal transportMar 04 2019Mar 26 2019We investigate the problem of optimal transport in the so-called Kantorovich form, i.e. given two Radon measures on two compact sets, we seek an optimal transport plan which is another Radon measure on the product of the sets that has these two measures ... More
Adaptive Grey-Box Fuzz-Testing with Thompson SamplingAug 24 2018Fuzz testing, or "fuzzing," refers to a widely deployed class of techniques for testing programs by generating a set of inputs for the express purpose of finding bugs and identifying security flaws. Grey-box fuzzing, the most popular fuzzing strategy, ... More
Post-Newtonian Conservation Laws in Rigid Quasilocal FramesDec 12 2013Jan 10 2014In recent work we constructed completely general conservation laws for energy and linear and angular momentum of extended systems in general relativity based on the notion of a rigid quasilocal frame (RQF). We argued at a fundamental level that these ... More
Relativistic geoids and time dependence: quasilocal frames versus isochronometric surfacesJun 02 2017In a recent paper [D. Philipp, V. Perlick, D. Puetzfeld, E. Hackmann, and C. L\"ammerzahl, Phys. Rev. D 95, 104037 (2017)], a definition of a general-relativistic geoid, restricted to stationary spacetimes, was presented in terms of "isochronometric surfaces". ... More
Families of Gapped Interfaces Between Fractional Quantum Hall StatesOct 08 2018Oct 22 2018Some interfaces between two different topologically ordered systems can be gapped. In earlier work it has been shown that such gapped interfaces can themselves be effective one dimensional topological systems that possess localized topological modes in ... More
Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero TemperatureAug 29 2017Motivated in part by the numerical simulations [ky,kosterlitz1,kosterlitz2] which reveal that the energy to create a defect in a gauge or phase glass scales as $L^{\theta}$ with $\theta<0$ for 2D, thereby implying a vanishing stiffness, we re-examine ... More
Escape path complexity and its context dependency in Pacific blue-eyes (Pseudomugil signifer)Feb 26 2015The escape trajectories animals take following a predatory attack appear to show high degrees of apparent 'randomness' - a property that has been described as 'protean behaviour'. Here we present a method of quantifying the escape trajectories of individual ... More
Discovery of the host galaxy of HDF850.1, the brightest sub-mm source in the Hubble Deep FieldMay 28 2002Despite extensive observational efforts, the brightest sub--mm source in the Hubble Deep Field, HDF850.1, has failed to yield a convincing optical/infrared identification almost 4 years after its discovery. This failure is all the more notable given the ... More
Geoids in General Relativity: Geoid Quasilocal FramesOct 10 2015Nov 30 2015We develop, in the context of general relativity, the notion of a geoid -- a surface of constant "gravitational potential". In particular, we show how this idea naturally emerges as a specific choice of a previously proposed, more general and operationally ... More
Realizing All Free Homotopy Classes for the Newtonian Three-Body ProblemDec 06 2014The configuration space of the planar three-body problem when collisions are excluded has a rich topology which supports a large set of free homotopy classes. Most classes survive modding out by rotations. Those that survive are called the reduced free ... More
Higgs Factory and 100 TeV Hadron Collider: Opportunity for a New World Laboratory within a DecadeFeb 24 2014Suggestions have been made for a 80-100 km circumference Future Circular Collider (FCC) that could ultimately contain a circular e+e- ring collider operating as a Higgs Factory as well as a 100 TeV hadron collider. Those suggestions have motivated us ... More
Diffeomorphism groups of balls and spheresApr 09 2013In this paper we discuss the relationship between groups of diffeomorphisms of spheres and balls. We survey results of a topological nature and then address the relationship as abstract (discrete) groups. We prove that the identity component Diff_0(S^{2n-1}) ... More
Cohomologie quantique orbifolde des espaces projectifs a poidsOct 16 2005In 2001, S. Barannikov showed that the Frobenius manifold coming from the quantum cohomology of the complex projective space is isomorphic to the Frobenius manifold attached to some Laurent polynomial. The purpose of this thesis is to generalize this ... More
Universal Formula for the Holographic Speed of SoundJan 31 2017We consider planar hairy black holes in five dimensions with a real scalar field in the Breitenlohner-Freedman window and show that is possible to derive a universal formula for the holographic speed of sound for any mixed boundary conditions of the scalar ... More
The SU(2) Long Range Bethe Ansatz and Continuous Integrable SystemsMay 02 2006May 26 2006We explore the relationship between the SU(2) sector of a general integrable field theory and the all-loop guess for the anomalous dimensions of SU(2) operators in N=4 super Yang-Mills theory. We demonstrate that the SU(2) structure of a nested Bethe ... More
Some group theoretical mass formulaeSep 10 2015A 'mass formula' is a formula involving a sum of reciprocals of automorphism groups orders. We provide several such formulae, e.g. ones involving covering groups of finite groups. Others generalize a formula of P.Hall, repalcing the class of abelian $p$-groups ... More
Ping-pong configurations and circular orders on free groupsSep 07 2017Nov 14 2017We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or Markov partitions. Using this, we show that the free group $F_n$ admits ... More
Calorimeter-Based Triggers at the ATLAS Detector for Searches for Supersymmetry in Zero-Lepton Final StatesMay 22 2012This thesis consists of three closely related parts. An analysis of data recorded by the ATLAS detector in 2010 in proton-proton collisions at a center-of-mass energy of 7 TeV with an integrated luminosity of 33.4/pb is performed, searching for supersymmetric ... More
Orbifold quantum cohomology of weighted projective spacesOct 31 2006This article is a revised, short and english version of my PhD thesis. First, we show a mirror theorem : the Frobenius manifold associated to the orbifold quantum cohomology of weighted projective space is isomorphic to the one attached to a specific ... More
Hyperbolicity of the Cyclic Splitting ComplexDec 12 2012Dec 14 2012We define a new complex on which $Out(F_n)$ acts by simplicial automorphisms, the cyclic splitting complex of $F_n$, and show that it is hyperbolic using a method developed by Kapovich and Rafi.
Counting Solutions to Discrete Non-Algebraic Equations Modulo Prime PowersAug 21 2016As society becomes more reliant on computers, cryptographic security becomes increasingly important. Current encryption schemes include the ElGamal signature scheme, which depends on the complexity of the discrete logarithm problem. It is thought that ... More
Philip Hall's 'rather curious' formula and the Rogers-Ramanujan identitiesMay 10 2015May 13 2015We show that a strange group theoretical formula of Hall follows from the Rogers-Ramanujan identities.
Automorphism groups of covering groupsMay 04 2015We derive a formula connecting the orders of the automorphism groups of a finite group and of its covering groups.
Constraint-based Local Move Definitions for Lattice Protein Models Including Side ChainsOct 20 2009The simulation of a protein's folding process is often done via stochastic local search, which requires a procedure to apply structural changes onto a given conformation. Here, we introduce a constraint-based approach to enumerate lattice protein structures ... More
PL(M) admits no Polish group topologyFeb 05 2016Mar 09 2016We show that the group of piecewise linear homeomorphisms of any compact PL manifold does not admit a Polish group topology. This uses a) new results on the relationship between topologies on groups of homeomorphisms, their algebraic structure, and the ... More
Rigidity and flexibility of group actions on the circleOct 02 2015We survey rigidity results for groups acting on the circle in various settings, from local to global and $C^0$ to smooth. Our primary focus is on actions of surface groups, with the aim of introducing the reader to recent developments and new tools to ... More
Automatic continuity for homeomorphism groups and applicationsJan 12 2015Aug 09 2015Let M be a compact manifold, possibly with boundary. We show that the group of homeomorphisms of M has the automatic continuity property: any homomorphism from Homeo(M) to any separable group is necessarily continuous. This answers a question of C. Rosendal. ... More
Left-orderable groups that don't act on the lineJun 21 2014Oct 15 2014We show that the group of germs at infinity of orientation-preserving homeomorphisms of R admits no action on the line. This gives an example of a left-orderable group of the same cardinality as Homeo+(R) that does not embed in Homeo+(R). As an application ... More
Homomorphisms between diffeomorphism groupsJun 06 2012Sep 08 2013For r at least 3, p at least 2, we classify all actions of the groups Diff^r_c(R) and Diff^r_+(S1) by C^p -diffeomorphisms on the line and on the circle. This is the same as describing all nontrivial group homomorphisms between groups of compactly supported ... More
Bounded orbits and global fixed points for groups acting on the planeMar 25 2011Jun 06 2012Let G be a group acting on the plane by orientation-preserving homeomorphisms. We show that if for some k>0 there is a ball of radius r > k/\sqrt{3} such that each point x in the ball satisfies |gx -hx| < k for all g, h in G, and the action of G satisfies ... More
A counterexample to the simple loop conjecture for PSL(2,R)Oct 11 2012In this note, we give an explicit counterexample to the simple loop conjecture for representations of surface groups into PSL(2,R). Specifically, we show that for any surface with negative Euler characteristic and genus at least 1, there are uncountably ... More
Commentary on the Interpretation of Fourier-Transform Scanning Tunneling Microscopy DataSep 25 2015Several papers have been published recently, particularly in the field of topological insulators, that use a Fourier-transform technique in a way that can be misleading or otherwise inaccurate, and the processing is not always described in the Methods ... More
Quintessential Quartic Quasi-topological QuartetMar 31 2017Apr 07 2017We construct the quartic version of generalized quasi-topological gravity, which was recently constructed to cubic order in arXiv: 1703.01631. This class of theories includes Lovelock gravity and a known form of quartic quasi-topological gravity as special ... More
Purification in Rapid Repeated Interaction SystemsNov 22 2016We investigate the open dynamics of a quantum system when it is rapidly repeatedly updated by a quantum channel. Specifically, we analyze when this dynamics can purify the system. We develop a necessary and sufficient condition for such purification effects ... More
Entanglement harvesting from multiple massless scalar fields and divergences in Unruh-DeWitt detector modelsAug 17 2018We analyze scenarios in which pairs of Unruh-DeWitt-like detectors interact with scalar field(s) with bi-linear and quadratic coupling. For all cases -- real scalar fields, charged scalar fields, and even for couplings mixing two different scalar fields ... More
Unruh-DeWitt detectors and entanglement: the anti-de Sitter spaceSep 18 2018We investigate entanglement harvesting in AdS$_4$. Applying the general results of [Phys. Rev. D 97, 125011 (2018)], we consider two scenarios: one where two particle detectors are geodesic, with equal redshift; and one where both are static, at unequal ... More
New techniques for entanglement harvesting in flat and curved spacetimesMay 03 2018Jun 25 2018We present a new technique for computing entanglement harvesting with Unruh-DeWitt particle detectors. The method is particularly useful in cases where analytic solutions are rare and the Wightman function is known only via its mode expansion for which ... More
Holographic Cosmology and its Relevant Degrees of FreedomJul 14 1999Jul 14 1999We reconsider the options for cosmological holography. We suggest that a global and time--symmetric version of the Fischler-Susskind bound is the most natural generalization of the holographic bound encountered in AdS and De Sitter space. A consistent ... More
Errata to `Automorphisms of First-order Structures'Jul 07 1995This is a list of the typographic and other errors that occur in `Automorphisms of first-order structures', by R. W. Kaye and H. D. Macpherson (eds), Oxford University Press, 1994.
Preferential Attachment Processes Approaching The Rado MultigraphFeb 19 2015May 05 2016We consider a preferential attachment process in which a multigraph is built one node at a time. The number of edges added at stage $t$, emanating from the new node, is given by some prescribed function $f(t)$, generalising a model considered by Kleinberg ... More
Combinatorial structure of type dependencyFeb 27 2014We give an account of the basic combinatorial structure underlying the notion of type dependency. We do so by considering the category of all dependent sequent calculi, and exhibiting it as the category of algebras for a monad on a presheaf category. ... More
When causation does not imply correlation: robust violations of the Faithfulness axiomMay 12 2015We demonstrate that the Faithfulness property that is assumed in much causal analysis is robustly violated for a large class of systems of a type that occurs throughout the life and social sciences: control systems. These systems exhibit correlations ... More
Physics of the linear colliderDec 01 2003This presentation intends to illustrate the specific capabilities of an e$^+$e$^-$ sub-TeV collider to provide answers on the basic issues in physics: origin of mass, hierarchy of masses, cosmological problems. Some foreseeable scenarios are discussed ... More
Relativity as the quantum mechanics of space-time measurementsMay 12 2000Jun 16 2000Can a simple microscopic model of space and time demonstrate Special Relativity as the macroscopic (aggregate) behavior of an ensemble ? The question will be investigated in three parts. First, it is shown that the Lorentz transformation formally stems ... More
Strong lensing time delay: a new way of measuring cosmic shearJan 23 2007Oct 27 2007The phenomenon of cosmic shear, or distortion of images of distant sources unaccompanied by magnification, is an effective way of probing the content and state of the foreground Universe, because light rays do not have to pass through mass structures ... More
Path Integral Methods and ApplicationsApr 24 2000These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the reader has a good foundation in quantum mechanics. No ... More
Chaos after Two-Field InflationAug 14 1998We show that two-field inflation can be followed by an era in which the field dynamics become chaotic, and discuss the possible consequences of this for two-field inflationary models. [PASCOS conference proceedings - a short version of gr-qc/9711035]
An Inflationary Model with an Exact Perturbation SpectrumNov 29 1995We present a new, exact scalar field cosmology for which the spectrum of scalar (density) perturbations can be calculated exactly. We use this exact result to the probe the accuracy of approximate calculations of the perturbation spectrum.
Natural Deduction for the Sheffer Stroke and Peirce's Arrow (And Any Other Truth-Functional Connective)Apr 22 2015Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke (NAND) and Peirce's arrow (NOR). ... More
On the combination of correlated estimates of a physics observableFeb 17 2014Jul 28 2014The combination of a number of correlated estimates of a given observable is frequently performed using the Best Linear Unbiased Estimate (BLUE) method. Most features of such a combination can already be seen by analysing the special case of a pair of ... More
Experimental Review of Photon Structure Function DataJul 16 2009The present knowledge of the structure of the photon is presented based on results obtained by measurements of photon structure functions at e+e- collider. Results are presented both for the QED structure of the photon as well as for the hadronic structure, ... More
End-cap Modules for the ATLAS SCTDec 04 2003The performance of prototype end-cap modules of the ATLAS SemiConductor Tracker (SCT) are discussed. The results are obtained in stand-alone as well as test beam measurements performed on modules both before and after irradiation with protons with a total ... More
Multiple Interactions in Pythia 8Jan 19 2009Modelling multiple partonic interactions in hadronic events is vital for understanding minimum-bias physics, as well as the underlying event of hard processes. A brief overview of the current Pythia 8 multiple interactions (MI) model is given, before ... More
The RMS Peculiar Velocity of ClustersOct 15 1997We study the rms peculiar velocity of clusters as a convenient statistic to put constraints on cosmological models. This statistic is easy to compute theoretically given a model for the power spectrum; we show that with some assumptions it can be directly ... More
The uniqueness-of-norm problem for Calkin algebrasJul 29 2015We examine the question of whether the Calkin algebra of a Banach space must have a unique complete algebra norm. We present a survey of known results, and make the observation that a recent Banach space construction of Argyros and Motakis (preprint, ... More
Level Curve Configurations and Conformal Equivalence of Meromorphic FunctionsOct 26 2013May 11 2015Let $f=B_1/B_2$ be a ratio of finite Blaschke products having no critical points on $\partial\mathbb{D}$. Then $f$ has finitely many critical level curves (level curves containing critical points of $f$) in the disk, and the non-critical level curves ... More
Common aspects of q-deformed Lie algebras and fractional calculusJul 07 2010Fractional calculus and q-deformed Lie algebras are closely related. Both concepts expand the scope of standard Lie algebras to describe generalized symmetries. A new class of fractional q-deformed Lie algebras is proposed, which for the first time allows ... More
Fractional quantum numbers deduced from experimental ground state meson spectraMar 26 2010Based on the Caputo definition of the fractional derivative the ground state spectra of mesons are classified as multiplets of the fractional rotation group. The comparison with the experimental values leads to the conclusion, that quarks carry an up ... More
Curvature interaction in collective spaceJan 01 2008Nov 22 2012For the Riemannian space, built from the collective coordinates used within nuclear models, an additional interaction with the metric is investigated, using the collective equivalent to Einstein's curvature scalar. The coupling strength is determined ... More
Properties of a fractional derivative Schroedinger type wave equation and a new interpretation of the charmonium spectrumOct 31 2005Jun 04 2006Based on the Caputo fractional derivative the classical, non relativistic Hamiltonian is quantized leading to a fractional Schroedinger type wave equation. The free particle solutions are localized in space. Solutions for the infinite well potential and ... More
Higher order fractional derivativesJun 11 2009Jun 12 2009Based on the Liouville-Weyl definition of the fractional derivative, a new direct fractional generalization of higher order derivatives is presented. It is shown, that the Riesz and Feller derivatives are special cases of this approach.
Fractional spin - a property of particles described with a fractional Schroedinger equationMay 22 2008It is shown, that the requirement of invariance under spatial rotations reveales an intrinsic fractional extended translation-rotation-like property for particles described with the fractional Schroedinger equation, which we call fractional spin.
Homologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiquesJul 08 2002We study Hochschild homology and cohomology for some polynomial algebras mixing both ``classical'' relations ($XY-YX=1$) and ``quantum'' relations ($XY={\l}YX$). More specifically, we prove that the algebra of differential operators on any quantum affine ... More
Learning Games and Rademacher Observations LossesDec 16 2015Feb 13 2016It has recently been shown that supervised learning with the popular logistic loss is equivalent to optimizing the exponential loss over sufficient statistics about the class: Rademacher observations (rados). We first show that this unexpected equivalence ... More
The not-so-effective mass of photons in a planar optical cavityDec 01 2015It is a well established and understood fact that photons propagating in free space interact with the gravitational field, leading to well-known effects such as gravitational redshift or gravitational lensing. While these phenomena might give an impression ... More