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--- abstract: 'The minimality of the penalty function associated with a convex risk measure is analyzed in this paper. First, in a general static framework, we provide necessary and sufficient conditions for a penalty function defined in a convex and closed subset of the absolutely continuous measures with respect to s...
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  **New Penrose Limits and AdS/CFT** 1.8cm 0.5cm *$^1$ Dipartimento di Fisica, Università di Perugia,\ I.N.F.N. Sezione di Perugia,\ Via Pascoli, I-06123 Perugia, Italy\ 0.4cm *$^2$ NORDITA\ Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden 0.4cm *$^3$ The Niels Bohr Institute\ *Blegdamsvej 17, DK-2100 Copenhagen ...
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--- abstract: 'In this paper, we consider femtocell CR networks, where femto base stations (FBS) are deployed to greatly improve network coverage and capacity. We investigate the problem of generic data multicast in femtocell networks. We reformulate the resulting MINLP problem into a simpler form, and derive upper and...
1
--- abstract: 'We have analyzed available optical data for Au in the mid-infrared range which is important for a precise prediction of the Casimir force. Significant variation of the data demonstrates genuine sample dependence of the dielectric function. We demonstrate that the Casimir force is largely determined by th...
1
--- abstract: 'We study strong-coupling lattice QCD with staggered-Wilson fermions, with emphasis on discrete symmetries and possibility of their spontaneous breaking. We perform hopping parameter expansion and effective potential analyses in the strong-coupling limit. From gap equations we find nonzero pion condensate...
1
--- abstract: | A non-uniform hypergraph $H=(V,E)$ consists of a vertex set $V$ and an edge set $E\subseteq 2^V$; the edges in $E$ are not required to all have the same cardinality. The set of all cardinalities of edges in $H$ is denoted by $R(H)$, the set of edge types. For a fixed hypergraph $H$, the Turán densit...
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--- author: - 'Mark Bun [^1]' - 'Roi Livni [^2]' - 'Shay Moran [^3]' bibliography: - 'biblio.bib' title: | An Equivalence Between Private Classification\ and Online Prediction --- Introduction ============ This paper continues the study of the close relationship between differentially-private learning and onl...
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--- abstract: 'We present high performance implementations of the QR and the singular value decomposition of a batch of small matrices hosted on the GPU with applications in the compression of hierarchical matrices. The one-sided Jacobi algorithm is used for its simplicity and inherent parallelism as a building block f...
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--- abstract: 'Multiplicity fluctuations in limited segments of momentum space are calculated for a classical pion gas within the statistical model. Results for the grand canonical, canonical, and micro-canonical ensemble are obtained, compared and discussed. We demonstrate that even in the large volume limit correlati...
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--- abstract: 'The profiles of the chromo-electric field generated by static quark-antiquark, $Q{\bar Q}$ and three-quark, $QQQ$ sources are calculated in Coulomb gauge. Using a variational ansatz for the ground state, we show that a flux tube-like structure emerges and combines to the “Y”-shape field profile for three...
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--- abstract: | This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: given $n$, sum the previous two terms and divide them by the largest possible power of $n$. The behavior of such sequences depends on $n$. We analyze these sequences for small $n$: 2, 3, 4, and 5. Surpris...
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--- abstract: 'If $G$ is a complex simply connected semisimple algebraic group and if ${\lambda}$ is a dominant weight, we consider the compactification $X_{\lambda}\subset {\mathbb P}\big(\operatorname{End}({V({{\lambda}})})\big)$ obtained as the closure of the $G\times G$-orbit of the identity and we give necessary a...
1
--- abstract: 'We develop a method for estimating well-conditioned and sparse covariance and inverse covariance matrices from a sample of vectors drawn from a sub-gaussian distribution in high dimensional setting. The proposed estimators are obtained by minimizing the quadratic loss function and joint penalty of $\ell_...
1
--- author: - 'Phoolendra K. Mishra and Kristopher L. Kuhlman' bibliography: - 'review\_paper.bib' title: 'Unconfined Aquifer Flow Theory - from Dupuit to present' --- Abstract ======== Analytic and semi-analytic solution are often used by researchers and practicioners to estimate aquifer parameters from unconfined a...
1
--- abstract: 'We describe how to solve simultaneous [Padé]{}approximations over a power series ring ${{\mathsf{K}}}[[x]]$ for a field ${{\mathsf{K}}}$ using ${O^{\scriptscriptstyle \sim}\!}(n^{\omega - 1} d)$ operations in ${{\mathsf{K}}}$, where $d$ is the sought precision and $n$ is the number of power series to app...
1
--- abstract: | We consider the Cauchy problem for the evolutive discrete $p$-Laplacian in infinite graphs, with initial data decaying at infinity. We prove optimal sup and gradient bounds for nonnegative solutions, when the initial data has finite mass, and also sharp evaluation for the confinement of mass, i.e., ...
1
--- abstract: 'We discuss the stability properties of an autonomous system in loop quantum cosmology. The system is described by a self-interacting scalar field $\phi$ with positive potential $V$, coupled with a barotropic fluid in the Universe. With $\Gamma=VV''''/V''^2$ considered as a function of $\lambda=V''/V$, th...
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--- abstract: 'Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the *structure* of soft random solids is a result of the fluctuations locked-in at their synthesis, which also brings heterogeneity in their *elastic properties*. Vulca...
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--- abstract: 'We present resolved *Herschel* images of a circumbinary debris disk in the 99 Herculis system. The primary is a late F-type star. The binary orbit is well characterised and we conclude that the disk is misaligned with the binary plane. Two different models can explain the observed structure. The first mo...
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--- abstract: 'We show existence of solutions to the least gradient problem on the plane for boundary data in $BV(\partial\Omega)$. We also provide an example of a function $f \in L^1(\partial\Omega) \backslash (C(\partial\Omega) \cup BV(\partial\Omega))$, for which the solution exists. We also show non-uniqueness of s...
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--- abstract: 'Quasi-periodic signals have yielded important constraints on the masses of black holes in galactic X-ray binaries, and here we extend this to active galactic nuclei (AGN). We employ a wavelet technique to analyze 19 observations of 10 AGN obtained with the [*XMM-Newton*]{} EPIC-PN camera. We report the d...
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--- abstract: 'With the goal of recovering high-quality image content from its degraded version, image restoration enjoys numerous applications, such as in surveillance, computational photography, medical imaging, and remote sensing. Recently, convolutional neural networks (CNNs) have achieved dramatic improvements ove...
1
--- abstract: 'We compute time-periodic and relative-periodic solutions of the free-surface Euler equations that take the form of overtaking collisions of unidirectional solitary waves of different amplitude on a periodic domain. As a starting guess, we superpose two Stokes waves offset by half the spatial period. Usin...
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--- abstract: | As exemplified by the Kuramoto model, large systems of coupled oscillators may undergo a transition to phase coherence with increasing coupling strength. It is shown that below the critical coupling strength for this transition such systems may be expected to exhibit ‘echo’ phenomena: a stimulation ...
1
--- abstract: 'We report the selective stabilization of chiral rotational direction of bacterial vortices, from turbulent bacterial suspension, in achiral circular microwells sealed by an oil-water interface. This broken-symmetry, originating from the intrinsic chirality of bacterial swimming near hydrodynamically diff...
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--- abstract: | We consider a Riemannian cylinder $\Omega$ endowed with a closed potential $1$-form $A$ and study the magnetic Laplacian $\Delta_A$ with magnetic Neumann boundary conditions associated with those data. We establish a sharp lower bound for the first eigenvalue and show that the equality characterizes...
1
--- abstract: 'During the epoch of large galaxy formation, thermal instability leads to the formation of a population of cool fragments which are embedded within a background of tenuous hot gas. The hot gas attains a quasi-hydrostatic equilibrium. Although the cool clouds are pressure confined by the hot gas, they fall...
1
--- abstract: 'One of the main scientific objectives of the ongoing [[*Fermi*]{}]{} mission is unveiling the nature of the unidentified $\gamma$-ray sources (UGSs). Despite the large improvements of [[*Fermi*]{}]{} in the localization of $\gamma$-ray sources with respect to the past $\gamma$-ray missions, about one thi...
1
--- abstract: 'The strong chromatic index of a graph $G$, denoted ${\chi_{s}''(G)}$, is the least number of colors needed to edge-color $G$ so that edges at distance at most two receive distinct colors. The strong list chromatic index, denoted ${\chi_{\ell,s}''(G)}$, is the least integer $k$ such that if arbitrary list...
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--- author: - | V.A. Baskov, A.V. Koltsov, A.I. L’vov, A.I. Lebedev, L.N. Pavlyuchenko, , E.V. Rzhanov, S.S. Sidorin, G.A. Sokol\ P.N. Lebedev Physical Institute, Leninsky prospect 53, Moscow 119991, Russia\ Email: - | S.V. Afanasiev, A.I. Malakhov\ Joint Institute for Nuclear Research, Joliot-Curie...
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--- abstract: 'Dissipationless collapses in Modified Newtonian Dynamics (MOND) are studied by using a new particle-mesh N-body code based on our numerical MOND potential solver. We found that low surface-density end-products have shallower inner density profile, flatter radial velocity-dispersion profile, and more radi...
1
--- abstract: | We formulate the Hubbard model for the simple cubic lattice in the representation of interacting dimers applying the exact solution of the dimer problem. By eliminating from the considerations unoccupied dimer energy levels in the large $U$ limit (it is the only assumption) we analytically derive th...
1
--- abstract: 'We consider spatially homogeneous, anisotropic cosmological models in $5D$ whose line element can be written as $dS^2 = {\cal{A}}(u, v)du dv - {\cal{B}}_{i j}(u, v)dx^{i}dx^{j}$, $(i, j = 1, 2, 3)$, where $u$ and $v$ are light-like coordinates. In the case where ${\cal{B}}_{i j}$ is diagonal, we construc...
1
--- abstract: | The objective of this paper is to correct a substantial, widespread error in parts of the quasielastic scattering literature. This error leads to entirely erroneous interpretations of quasielastic scattering spectra. The error, which is most prominent for interpreting spectra of dilute probe particl...
1
--- abstract: 'The classical matrix-tree theorem discovered by G.Kirchhoff in 1847 relates the principal minor of the $n \times n$ Laplace matrix to a particular sum of monomials of matrix elements indexed by directed trees with $n$ vertices and a single sink. In this paper we consider a generalization of this statemen...
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--- address: 'Fachbereich Mathematik, Technische Universität Darmstadt, 64289 Darmstadt, Germany.' author: - 'Andrew R. Linshaw' title: Invariant theory and the Heisenberg vertex algebra --- [The invariant subalgebra $\cH^+$ of the Heisenberg vertex algebra $\cH$ under its automorphism group $\mathbb{Z}/2\mathbb{Z}$ w...
1
--- abstract: 'The spin gauge field formalism has been used to explain the emergence of out of plane spin accumulation in two-dimensional spin orbit interaction (SOI) systems in the presence of an in-plane electric field. The adiabatic alignment of the charge carrier spins to the momentum dependent SOI field, which cha...
1
--- abstract: 'We introduce a symmetrization technique which can be used as an extra step in some continuous-variable quantum key distribution protocols. By randomizing the data in phase space, one can dramatically simplify the security analysis of the protocols, in particular in the case of collective attacks. The mai...
1
--- abstract: 'Let $X$ be a Calabi–Yau threefold fibred over ${{\mathbb P}}^1$ by non-constant semi-stable K3 surfaces and reaching the Arakelov–Yau bound. In \[STZ\], X. Sun, Sh.-L. Tan, and K. Zuo proved that $X$ is modular in a certain sense. In particular, the base curve is a modular curve. In their result they dis...
1
--- abstract: 'We provide complete characterizations, on Banach spaces with cotype 2, of those linear operators which happen to be weakly mixing or strongly mixing transformations with respect to some nondegenerate Gaussian measure. These characterizations involve two families of small subsets of the circle: the counta...
1
--- abstract: | In 1990 J-L. Krivine introduced the notion of storage operators. They are $\l$-terms which simulate call-by-value in the call-by-name strategy and they can be used in order to modelize assignment instructions. J-L. Krivine has shown that there is a very simple second order type in $AF2$ type system ...
1
--- abstract: 'In this paper, we classify Gorenstein stable log surfaces with $(K_X+\Lambda)^2=p_g(X,\Lambda)-1$.' address: 'Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084' author: - Jingshan Chen title: ' Gorenstein stable log surfaces with $(K_X+\Lambda)^2=p_g(X,\Lambda)-1$' --- Introduction =...
1
--- abstract: 'A scattering problem (or more precisely, a transmission-reflection problem) of linearized excitations in the presence of a dark soliton is considered in a one-dimensional nonlinear Schrödinger system with a general nonlinearity: $ \mathrm{i}\partial_t \phi = -\partial_x^2 \phi + F(|\phi|^2)\phi $. If the...
1
--- abstract: 'New sensitive CO(2-1) observations of the 30 Doradus region in the Large Magellanic Cloud are presented. We identify a chain of three newly discovered molecular clouds we name KN1, KN2 and KN3 lying within 2–14pc in projection from the young massive cluster R136 in 30 Doradus. Excited H$_2$2.12$\mu$m emi...
1
--- abstract: 'The wide spread of location-based social networks brings about a huge volume of user check-in data, which facilitates the recommendation of points of interest (POIs). Recent advances on distributed representation shed light on learning low dimensional dense vectors to alleviate the data sparsity problem....
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--- --- [**Deep supervised learning using local errors** ]{}\ Hesham Mostafa$^1$, Vishwajith Ramesh$^2$, and Gert Cauwenberghs$^{1,2}$\ $^{1}$Institute for Neural Computation,$^{2}$Department of Bioengineering\ UC San Diego, California, USA\ E-mail: hmmostafa@ucsd.edu Abstract {#abstract .unnumbered} ======== Error ...
1
--- abstract: | Particle Metropolis-Hastings (PMH) allows for Bayesian parameter inference in nonlinear state space models by combining Markov chain Monte Carlo (MCMC) and particle filtering. The latter is used to estimate the intractable likelihood. In its original formulation, PMH makes use of a marginal MCMC pro...
1
--- abstract: 'We prove that certain acyclic cluster algebras over the complex numbers are the coordinate rings of holomorphic symplectic manifolds. We also show that the corresponding quantum cluster algebras have no non-trivial prime ideals. This allows us to give evidence for a generalization of the conjectured vari...
1
--- abstract: 'We establish the global well-posedness of overdamped dynamical density functional theory (DDFT): a nonlinear, nonlocal integro-partial differential equation used in statistical mechanical models of colloidal flow and other applications including nonlinear reaction-diffusion systems and opinion dynamics. ...
1
--- abstract: 'We present a sequence of high resolution (R$\sim$20,000 or 15 km s$^{-1}$) infrared spectra of stars and brown dwarfs spanning spectral types M2.5 to T6. Observations of 16 objects were obtained using eight echelle orders to cover part of the $J$-band from 1.165-1.323 $\mu$m with NIRSPEC on the Keck II t...
1
--- abstract: 'We study the gravitational Dirichlet problem in AdS spacetimes with a view to understanding the boundary CFT interpretation. We define the problem as bulk Einstein’s equations with Dirichlet boundary conditions on fixed timelike cut-off hypersurface. Using the fluid/gravity correspondence, we argue that ...
1
--- abstract: 'We extended a previous qualitative study of the intermittent behaviour of a chaotical nucleonic system, by adding a few quantitative analyses: of the configuration and kinetic energy spaces, power spectra, Shannon entropies, and Lyapunov exponents. The system is regarded as a classical “nuclear billiard”...
1
--- abstract: | This paper provides the basis for new methods of inference for max-stable processes $\xi$ on general spaces that admit a certain incremental representation, which, in important cases, has a much simpler structure than the max-stable process itself. A corresponding peaks-over-threshold approach will ...
1
--- abstract: 'We derive the mean squared error convergence rates of kernel density-based plug-in estimators of mutual information measures between two multidimensional random variables $\mathbf{X}$ and $\mathbf{Y}$ for two cases: 1) $\X$ and $\Y$ are both continuous; 2) $\X$ is continuous and $\Y$ is discrete. Using t...
1
--- abstract: 'We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication \[Phys. Rev. D 98, 021502(R) (2018)\] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at a much simpler form of the field equations in comparison with t...
1
--- abstract: 'In this note, we show that the normalized Hochschild co–chains of an associative algebra with a non–degenerate, symmetric, invariant inner product are an algebra over a chain model of the framed little discs operad which is given by cacti. In particular, in this sense they are a BV algebra up to homotopy...
1
--- abstract: 'The Casimir effect is a force arising in the macroscopic world as a result of radiation pressure of vacuum fluctuations. It thus plays a key role in the emerging domain of nano-electro-mechanical systems (NEMS). This role is reviewed in the present paper, with discussions of the influence of the material...
1
--- abstract: 'Process mining techniques focus on extracting insight in processes from event logs. In many cases, events recorded in the event log are too fine-grained, causing process discovery algorithms to discover incomprehensible process models or process models that are not representative of the event log. We sho...
1
--- abstract: | In the design of incentive compatible mechanisms, a common approach is to enforce incentive compatibility as constraints in programs that optimize over feasible mechanisms. Such constraints are often imposed on sparsified representations of the type spaces, such as their discretizations or samples, ...
1
--- abstract: | We detected a ring-like distribution of far-infrared emission in the direction of the center of the Virgo cluster. We studied this feature in the FIR, radio, and optical domains, and deduced that the dust within the feature reddens the galaxies in the direction of the Virgo cluster but does not affe...
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6.0in 9.0in 0.0in 0.5in 0.5in 0.08in epsf \#1 [**\#1**]{} \#1 [**\#1**]{} 1[$U(1)$]{} 5[$SU(5)$]{} 10[$SO(10)$]{} 22[$SU(4)\otimes SU(2)_L \otimes SU(2)_R$]{} . \#1[(\[\#1\])]{} \_U[ ]{} \_P[ ]{} +N 1Charges[I]{} hep-ph/0009287 \ [S. F. King and M.Oliveira]{}\ \ [*[Department of Physics and Astronomy, Universi...
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--- abstract: 'The quark matter created in relativistic nuclear collisions is interpreted as a nearly-perfect fluid. The recent efforts to explore its finite-density properties in the beam energy scan programs motivate one to revisit the issue of the local rest frame fixing in off-equilibrium hydrodynamics. I first inv...
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--- abstract: 'The diversity of structures in the Universe (from the smallest galaxies to the largest superclusters) has formed under the pull of gravity from the tiny primordial perturbations that we see imprinted in the cosmic microwave background. A quantitative description of this process would require description ...
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--- abstract: 'We study wave turbulence in shallow water flows in numerical simulations using two different approximations: the shallow water model, and the Boussinesq model with weak dispersion. The equations for both models were solved using periodic grids with up to $2048^2$ points. In all simulations, the Froude nu...
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--- abstract: | Deeply bound KNN, KNNN and KNNNN states are discussed. The effective force exerted by the K meson on the nucleons is calculated with static nucleons. Next the binding energies are obtained by solving the Schrödinger equation or by variational calculations. The dominant attraction comes from the...
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**A direct method of solution for the Fokas-Lenells derivative** **nonlinear Schrödinger equation: II. Dark soliton solutions** Yoshimasa Matsuno[^1] *Division of Applied Mathematical Science,* *Graduate School of Science and Engineering* *Yamaguchi University, Ube, Yamaguchi 755-8611, Japan* In a previous study ...
1
--- abstract: | Today, the vocabulary size for language models in large vocabulary speech recognition is typically several hundreds of thousands of words. While this is already sufficient in some applications, the out-of-vocabulary words are still limiting the usability in others. In agglutinative languages the voc...
1
--- abstract: 'Various models of charged particles interacting with a quantized, ultraviolet cutoff radiation field (but not with each other) are investigated. Upper and lower bounds are found for the self- or ground state-energies without mass renormalization. For $N$ fermions the bounds are proportional to $N$, but f...
1
--- abstract: 'We analyze the dynamics of a Bianchi I cosmology in the presence of a viscous fluid, causally regularized according to the Lichnerowicz approach. We show how the effect induced by shear viscosity is still able to produce a matter creation phenomenon, meaning that also in the regularized theory we address...
1
--- abstract: | We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards the hadronic phase is achieved by means of dynamical hadron...
1
--- abstract: 'The break-up of a two-dimensional circular disc by normal and oblique impact on a hard frictionless plate is investigated by molecular dynamics simulations. The disc is composed of numerous unbreakable randomly shaped convex polygons connected together by simple elastic beams that break when bent or stre...
1
--- abstract: 'We obtain a sharp local well-posedness result for the Gradient Nonlinear Wave Equation on a nonsmooth curved background. In the process we introduce variable coefficient versions of Bourgain’s $X^{s,b}$ spaces, and use a trilinear multiscale wave packet decomposition in order to prove a key trilinear est...
1
--- abstract: | We present a detailed analysis of the class of regression decision tree algorithms which employ a regulized piecewise-linear node-splitting criterion and have regularized linear models at the leaves. From a theoretic standpoint, based on Rademacher complexity framework, we present new high-probabili...
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--- abstract: 'Binarized Neural Networks, a recently discovered class of neural networks with minimal memory requirements and no reliance on multiplication, are a fantastic opportunity for the realization of compact and energy efficient inference hardware. However, such neural networks are generally not entirely binari...
1
--- abstract: 'The [[*Planck*]{}]{} mission is the most sensitive all-sky CMB experiment currently planned. The High Frequency Instrument ([[*HFI*]{}]{}) will be especially suited to observe clusters of galaxies by their thermal Sunyaev-Zel’dovich (SZ) effect. In order to assess [[*Planck*]{}’s ]{} SZ-capabilities in t...
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epsf $^1$[*IPNL, CNRS/IN2P3, 4 rue E. Fermi, 69622 Villeurbanne cedex, France; Université Lyon 1, Villeurbanne; Université de Lyon, F-69622, Lyon, France* ]{}\ > An Effective Field Theory for dark matter at a TeV-scale hadron collider should include contact interactions of dark matter with the partons, the Higgs and ...
1
--- abstract: 'We present a catalogue of H–band spectra for 85 stars of approximately solar abundance observed at a resolving power of 3000 with the KPNO Mayall 4m FTS. The atlas covers spectral types O7–M5 and luminosity classes I-V as defined on the MK system. We identify both atomic and molecular indices and line–ra...
1
--- abstract: | We revisit the longstanding question of whether first brightest cluster galaxies are statistically drawn from the same distribution as other cluster galaxies or are “special”, using the new non-parametric, empirically based, model presented in @paper2 for associating galaxy luminosity with halo/subh...
1
--- abstract: 'We report on the results of a three-year program of coordinated X-ray and optical monitoring of the narrow-line Seyfert 1 galaxy NGC 4051. The rapid continuum variations observed in the X-ray spectra are not detected in the optical, although the [*time-averaged*]{} X-ray and optical continuum fluxes are ...
1
--- author: - 'Eduard P. Kontar' title: Dynamics of electron beams in the solar corona plasma with density fluctuations --- Introduction ============ One of the challenging problems in the theory of type III bursts, widely discussed in the literature, is the fine structure of the bursts. The fine structure is observe...
1
--- abstract: 'Collapse and reverse to collapse explosion transition in self-gravitating systems are studied by molecular dynamics simulations. A microcanonical ensemble of point particles confined to a spherical box is considered; the particles interact via an attractive soft Coulomb potential. It is observed that the...
1
--- author: - 'M. Wernli' - 'L. Wiesenfeld' - 'A. Faure' - 'P. Valiron' bibliography: - 'cyano\_v3.bib' date: 'Received / Accepted ' title: 'Rotational Excitation of HC$_3$N by H$_2$ and He at low temperatures' --- Introduction ============ Cyanopolyyne molecules, with general formula HC$_{2n+1}$N, $n\ge 1$, have bee...
1
--- abstract: 'Earth’s tectonic processes regulate the formation of continental crust, control its unique deep water and carbon cycles, and are vital to its surface habitability. A major driver of steady-state plate tectonics on Earth is the sinking of the cold subducting plate into the underlying mantle. This sinking ...
1
--- abstract: 'In this article we solve the problem of maximizing the expected utility of future consumption and terminal wealth to determine the optimal pension or life-cycle fund strategy for a cohort of pension fund investors. The setup is strongly related to a DC pension plan where additionally (individual) consump...
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--- author: - Jean Daniel Mukam - | Jean Daniel Mukam (jean.d.mukam@aims-senegal.org)\ African Institute for Mathematical Sciences (AIMS)\ Senegal\ \ [ Supervised by : Dr. Antoine Tambue]{}\ [ AIMS-South Africa and University of Cape Town ]{}\ [ antonio@aims.ac.za]{} date: | [ 13 June 20...
1
--- abstract: 'Given a graph $G$, an incidence matrix $\mathcal{N}(G)$ is defined on the set of distinct isomorphism types of induced subgraphs of $G$. It is proved that Ulam’s conjecture is true if and only if the $\mathcal{N}$-matrix is a complete graph invariant. Several invariants of a graph are then shown to be re...
1
--- abstract: 'Recent $\gamma$-ray observations suggest that the $\gamma$-ray millisecond pulsar (MSP) population is separated into two sub-classes with respect to the pair multiplicity. Here, we calculate the cosmic ray electron/positron spectra from MSPs. Based on the assumption of the equipartition in the pulsar win...
1
--- abstract: 'Two high performance coronagraphic approaches compatible with segmented and obstructed telescope pupils are described. Both concepts use entrance pupil amplitude apodization and a combined phase and amplitude focal plane mask to achieve full coronagraphic extinction of an on-axis point source. While the ...
1
--- author: - 'G. Galletta' - 'V. Casasola' - 'L. Piovan' - 'E. Merlin' - 'D. Bettoni' date: 'Received ; Accepted 20 September 2006' title: Relations between ISM tracers in galaxies --- [We study the relations existing between fluxes emitted at CO(1-0) line, 60 and 100 $\mu$m wavelengths, B and soft X-ray wavebands fo...
1
--- abstract: 'Age determination is undertaken for nearby early-type (BAF) stars, which constitute attractive targets for high-contrast debris disk and planet imaging surveys. Our analysis sequence consists of: acquisition of $uvby\beta$ photometry from catalogs, correction for the effects of extinction, interpolation ...
1
--- abstract: 'Genetic differences between individuals associated to quantitative phenotypic traits, including disease states, are usually found in non-coding genomic regions. These genetic variants are often also associated to differences in expression levels of nearby genes (they are “expression quantitative trait lo...
1
--- abstract: 'We investigate the stellar population of star-forming galaxies at *z* $\sim$ 4 by focusing on their slope of rest-frame ultraviolet (UV) continuum, $\beta$ where $f_{\lambda} \propto \lambda^{\beta}$. We investigate the sample of bright Lyman Break Galaxies (LBGs) with *i’* $\leq$ 26.0 in the Subaru/XMM-...
1
--- abstract: 'In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure rate. Different statistical properties such as reliability characte...
1
--- abstract: 'In this paper, we study the representations of the new finite-dimensional pointed Hopf algebras in positive characteristic given in [@Cib09]. We find that these Hopf algebras are symmetric algebras. We determine the simple modules and their projective covers over these Hopf algebras. We show that these H...
1
--- abstract: 'The issue of giving an explicit description of the flow of information concerning the time of bankruptcy of a company (or a state) arriving on the market is tackled by defining a bridge process starting from zero and conditioned to be equal to zero when the default occurs. This enables to catch some empi...
1
--- author: - Sébastien Boucksom title: Higher dimensional Zariski decompositions --- \[section\] \[theo\][Corollary]{} \[theo\][Definition]{} \[theo\][Proposition]{} \[theo\][Lemma]{} $Author's$ $address$: Institut Fourier, 100 rue des Maths, BP74, 38402 Saint-Martin d’Hères Cedex, France.\ $e-mail$: sbouckso@ujf-gr...
1
--- abstract: 'In this paper we construct unstable shocks in the context of 2D isentropic compressible Euler in azimuthal symmetry. More specifically, we construct initial data that when viewed in self-similar coordinates, converges asymptotically to the unstable $C^{\frac15}$ self-similar solution to the Burgers’ equa...
1
--- abstract: 'We propose a minimal spectral theory for boundary layer turbulence that captures very well the profile of the mean square velocity fluctuations in the stream-wise direction, and gives a quantitative prediction of the Townsend-Perry constants. The phenomenological model is based on connecting the statisti...
1
--- abstract: | We study Padé interpolation at the node $z=0$ of functions $f(z)=\sum_{m=0}^{\infty} f_m z^m$, analytic in a neighbourhood of this node, by [*amplitude and frequency operators*]{} (*sums*) of the form $$\sum_{k=1}^n \mu_k h(\lambda_k z), \qquad \mu_k,\lambda_k\in \mathbb{C}.$$ Here $h(z)=\sum_{m...
1
--- abstract: 'We study randomly initialized residual networks using mean field theory and the theory of difference equations. Classical feedforward neural networks, such as those with tanh activations, exhibit exponential behavior on the average when propagating inputs forward or gradients backward. The exponential fo...
1