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--- abstract: 'We show that any finite monoid or semigroup presentation satisfying the small overlap condition $C(4)$ has word problem which is a deterministic rational relation. It follows that the set of lexicographically minimal words forms a regular language of normal forms, and that these normal forms can be compu...
--- abstract: '[Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically based ones average out their measures over many messages of dif...
--- abstract: | We describe typical degenerations of quadratic differentials thus describing “generic cusps” of the moduli space of meromorphic quadratic differentials with at most simple poles. The part of the boundary of the moduli space which does not arise from “generic” degenerations is often negligible in pro...
--- abstract: 'Recently, it has become apparent that the thermal stability of topologically ordered systems at finite temperature, as discussed in condensed matter physics, can be studied by addressing the feasibility of self-correcting quantum memory, as discussed in quantum information science. Here, with this corres...
--- abstract: 'We introduce and study the space ${\mathcal S{\mbox{Curr}}({F_N})}$ of *subset currents* on the free group $F_N$, and, more generally, on a word-hyperbolic group. A subset current on $F_N$ is a positive $F_N$-invariant locally finite Borel measure on the space $\mathfrak C_N$ of all closed subsets of $\p...
--- abstract: 'We construct exact solutions of the Gross-Pitaevskii equation for solitary vortices, and approximate ones for fundamental solitons, in 2D models of Bose-Einstein condensates with a spatially modulated nonlinearity of either sign and a harmonic trapping potential. The number of vortex-soliton (VS) modes i...
--- abstract: 'With the rising interest in Virtual Reality and the fast development and improvement of available devices, new features of interactions are becoming available. One of them that is becoming very popular is hand tracking, as the idea to replace controllers for interactions in virtual worlds. This experimen...
--- abstract: 'We consider the influence of mode - mode coupling in the inflaton field on the spectrum of primordial fluctuations. To this end, we formulate a phenomenological model where the inflaton fluctuations are treated as a fluid undergoing turbulent motion. Under suitable assumptions, it is possible to estimate...
--- author: - 'Hicham Qasmi, Julien Barr[é]{}' - 'Thierry Dauxois[^1]' date: 'Received: date / Revised version: ' title: 'Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model' --- [leer.eps]{} gsave 72 31 moveto 72 342 lineto 601 342 lineto 601 31 lineto 72 31 lineto showpa...
--- abstract: | In this paper we will continue the study started recently in [@ABMbp] by describing and classifying all Hopf algebras $E$ that factorize through two Sweedler’s Hopf algebras. Equivalently, we shall classify all bicrossed products $H_4 \bowtie H_4$ associated to all possible matched pairs $(H_4, H_4,...
--- abstract: 'Statistical spoken dialogue systems have the attractive property of being able to be optimised from data via interactions with real users. However in the reinforcement learning paradigm the dialogue manager (agent) often requires significant time to explore the state-action space to learn to behave in a ...
--- abstract: 'We rigorously justify the mean-field limit of an $N$-particle system subject to Brownian motions and interacting through the Newtonian potential in ${\mathbb{R}}^3$. Our result leads to a derivation of the Vlasov-Poisson-Fokker-Planck (VPFP) equations from the regularized microscopic $N$-particle system....
--- abstract: 'Recent work of An, Drummond-Cole, and Knudsen [@ADK], as well as the author [@R], has shown that the homology groups of configuration spaces of graphs can be equipped with the structure of a finitely generated graded module over a polynomial ring. In this work we study this module structure in certain fa...
--- author: - | Qichuan Geng$^1$Hong ZhangXiaojuan Qi$^2$Ruigang Yang$^{3}$Zhong Zhou$^1$Gao Huang$^{4}$\ $^1$Beihang University $^2$University of Oxford $^3$University of Kentucky$^4$ Tsinghua University\ [{zhaokefirst,zz}@buaa.edu.com]{}\ bibliography: - 'citation.bib' title: Gated Path Selection Network ...
--- abstract: 'We study the eta invariants of compact flat spin manifolds of dimension $n$ with holonomy group $\mathbb{Z}_p$, where $p$ is an odd prime. We find explicit expressions for the twisted and relative eta invariants and show that the reduced eta invariant is always an integer, except in a single case, when $...
--- abstract: | The cosmic star formation histories are evaluated for different minimum masses of the initial halo structures, with allowance for realistic gas outflows. With a minimum halo mass of $10^{7}$–$10^{8}\ \mathrm{M}_{\odot}$ and a moderate outflow efficiency, we reproduce both the current baryon frac...
--- author: - 'M.-C. ARNAUD [^1] [^2] [^3]' title: Lyapunov exponents of minimizing measures for globally positive diffeomorphisms in all dimensions --- [*Key words:* ]{} discrete weak KAM theory, symplectic twist maps, Lyapunov exponents, Aubry-Mather theory, minimizing measures, Green bundles.\ [*2010 Mathematics Su...
--- abstract: 'In Einstein-Maxwell-Chern-Simons theory the extremal Reissner-Nordström solution is no longer the single extremal solution with vanishing angular momentum, when the Chern-Simons coupling constant reaches a critical value. Instead a whole sequence of rotating extremal $J=0$ solutions arises, labeled by th...
--- abstract: 'Present and planned dark matter detection experiments search for WIMP-induced nuclear recoils in poorly known background conditions. In this environment, the maximum gap statistical method provides a way of setting more sensitive cross section upper limits by incorporating known signal information. We gi...
--- abstract: | The following question is studied and answered: Is it possible to stably approximate $f^\prime$ if one knows: 1\) $f_\delta\in L^\infty(\R)$ such that $\|f-f_\delta\|<\delta$, and 2\) $f\in C^\infty(\R)$, $\|f\|+\|f^\prime\|\leq c$? Here $\|f\|:=\sup_{x\in\R} |f(x)|$ and $c>...
--- author: - Yada Nandukumar - Pinaki Pal title: 'Oscillatory instability and routes to chaos in Rayleigh-Bénard convection: effect of external magnetic field' --- Introduction ============ The study of thermal convection of electrically conducting fluids in presence of magnetic field fascinated researchers for many...
--- abstract: 'Electron collisions, described by stochastic differential equations (SDEs), were simulated using a second-order weak convergence algorithm. Using stochastic analysis, we constructed an SDE for energetic electrons in Lorentz plasma to incorporate the collisions with heavy static ions as well as background...
--- abstract: 'We introduce some new logics of imperfect information by adding atomic formulas corresponding to *inclusion* and *exclusion* dependencies to the language of first order logic. The properties of these logics and their relationships with other logics of imperfect information are then studied. Furthermore, ...
--- abstract: 'We study the algebra $\cI^{QM}$ of iterated integrals of quasimodular forms for $\SL_2(\bZ)$, which is the smallest extension of the algebra $QM_{\ast}$ of quasimodular forms, which is closed under integration. We prove that $\cI^{QM}$ is a polynomial algebra in infinitely many variables, given by Lyndon...
--- abstract: 'In this paper we compute the signature for a family of knots $W(k,n)$, the weaving knots of type $(k,n)$. By work of E. S. Lee the signature calculation implies a vanishing theorem for the Khovanov homology of weaving knots. Specializing to knots $W(3,n)$, we develop recursion relations that enable us to...
--- abstract: 'The use of dynamical symmetries or spectrum generating algebras for the solution of the nuclear many-body problem is reviewed. General notions of symmetry and dynamical symmetry in quantum mechanics are introduced and illustrated with simple examples such as the SO(4) symmetry of the hydrogen atom and th...
--- abstract: 'We use the “higher Hida theory” recently introduced by the second author to $p$-adically interpolate periods of non-holomorphic automorphic forms for $\operatorname{GSp}_4$, contributing to coherent cohomology of Siegel threefolds in positive degrees. We apply this new method to construct $p$-adic $L$-fu...
--- abstract: 'We report here on the outburst onset and evolution of the new Soft Gamma Repeater SGR0501+4516. We monitored the new SGR with [[*XMM–Newton*]{}]{} starting on 2008 August 23, one day after the source became burst-active, and continuing with 4 more observations in the following month, with the last one on...
--- abstract: 'In this paper, we study the relation between the zeta function of a Calabi-Yau hypersurface and the zeta function of its mirror. Two types of arithmetic relations are discovered. This motivates us to formulate two general arithmetic mirror conjectures for the zeta functions of a mirror pair of Calabi-Yau...
--- abstract: '[In this paper we propose flexible joint longitudinal-survival models in order to test the association between a longitudinally collected biomarker and a time-to-event endpoint. Our proposed models are robust to common parametric and semi-parametric assumptions in that they avoid explicit distributional ...
--- abstract: 'This report details our solution to the Google AI Open Images Challenge 2019 Object Detection Track. Based on our detailed analysis on the Open Images dataset, it is found that there are four typical features: large-scale, hierarchical tag system, severe annotation incompleteness and data imbalance. Cons...
--- abstract: 'An approach to the model-independent searching for the $Z''$ gauge boson as a virtual state in scattering processes is developed. It accounts for as a basic requirement the renormalizability of underlying unspecified in other respects model. This results in a set of relations between low energy couplings...
--- abstract: 'In the study of reaction networks and the polynomial dynamical systems that they generate, special classes of networks with important properties have been identified. These include *reversible*, *weakly reversible*, and, more recently, *endotactic* networks. While some inclusions between these network ty...
--- abstract: 'In a general-relativistic spacetime (Lorentzian manifold), gravitational lensing can be characterized by a lens map, in analogy to the lens map of the quasi-Newtonian approximation formalism. The lens map is defined on the celestial sphere of the observer (or on part of it) and it takes values in a two-d...
--- abstract: 'This paper presents a distributed algorithm for finding near optimal dominating sets on grids. The basis for this algorithm is an existing centralized algorithm that constructs dominating sets on grids. The size of the dominating set provided by this centralized algorithm is upper-bounded by $\left\lceil...
--- abstract: 'The high-luminosity LHC (HL-LHC) upgrade is setting now a new challenge for particle detector technologies. The increase in luminosity will produce a particle background in the gas-based muon detectors that is ten times higher than under conditions at the LHC. The detailed knowledge of the detector perfo...
--- address: - 'Vincent Lafforgue: CNRS et Institut Fourier, UMR 5582, Université Grenoble Alpes, 100 rue des Maths, 38610 Gières, France.' - 'Xinwen Zhu: California Institute of Technology, Pasadena, CA 91125' author: - Vincent Lafforgue et Xinwen Zhu title: 'Décomposition au-dessus des paramètres de Langlands ellipti...
--- abstract: 'Even though many point processes have been scrutinized to describe the unique features of emerging wireless networks, the performance of vehicular networks have been largely assessed using mostly the Poisson Point Process (PPP) to model the locations of vehicles along a road. The PPP is not always a real...
--- abstract: 'The increase in the number of researchers coupled with the ease of publishing and distribution of scientific papers (due to technological advancements) has resulted in a dramatic increase in astronomy literature. This has likely led to the predicament that the body of the literature is too large for trad...
--- abstract: 'The dynamo effect is a class of macroscopic phenomena responsible for generation and maintaining magnetic fields in astrophysical bodies. It hinges on hydrodynamic three-dimensional motion of conducting gases and plasmas that achieve high hydrodynamic and/or magnetic Reynolds numbers due to large length ...
--- abstract: 'We provide a new method to prove and improve the Chemin-Masmoudi criterion for viscoelastic systems of Oldroyd type in [@CM] in two space dimensions. Our method is much easier than the one based on the well-known *losing a priori estimate* and is expected to be easily adopted to other problems involving ...
--- abstract: 'The estimation of variance-based importance measures (called Sobol’ indices) of the input variables of a numerical model can require a large number of model evaluations. It turns to be unacceptable for high-dimensional model involving a large number of input variables (typically more than ten). Recently,...
--- abstract: | We study the small–angle double bremsstrahlung in $e^-e^\pm$ scattering for a jet kinematics where both photons move along the electron direction. This region gives the main contribution to the cross section. We present analytic expressions for all 64 amplitudes with arbitrary helicity states of the...
--- abstract: 'Continuous, battery-free operation of sensor nodes requires ultra-low-power sensing and data-logging techniques. In this report we show that by directly coupling a sensor/transducer signal into a Fowler-Nordheim (FN) quantum tunneling based synchronized dynamical systems, one can achieve self-powered sen...
--- abstract: 'In statistical relational learning, knowledge graph completion deals with automatically understanding the structure of large knowledge graphs—labeled directed graphs—and predicting missing relationships—labeled edges. State-of-the-art embedding models propose different trade-offs between modeling express...
--- author: - 'Leindert A. Boogaard' - Jarle Brinchmann - Nicolas Bouché - Mieke Paalvast - Roland Bacon - 'Rychard J. Bouwens' - Thierry Contini - 'Madusha L.P. Gunawardhana' - Hanae Inami - 'Raffaella A. Marino' - 'Michael V. Maseda' - Peter Mitchell - Themiya Nanayakkara - Johan Richard - Joop Schaye - Corentin Schr...
--- abstract: 'In this paper, we describe our submissions to the WMT17 Multimodal Translation Task. For Task 1 (multimodal translation), our best scoring system is a purely textual neural translation of the source image caption to the target language. The main feature of the system is the use of additional data that wa...
--- abstract: 'Real-time 3D reconstruction from RGB-D sensor data plays an important role in many robotic applications, such as object modeling and mapping. The popular method of fusing depth information into a truncated signed distance function (TSDF) and applying the marching cubes algorithm for mesh extraction has s...
--- abstract: 'We propose a new method for calculating optical defect levels and thermodynamic charge-transition levels of point defects in semiconductors, which includes quasiparticle corrections to the Kohn-Sham eigenvalues of density-functional theory. Its applicability is demonstrated for anion vacancies at the (11...
--- abstract: 'We use the multiconfiguration Dirac-Hartree-Fock (MCDHF) method combined with the relativistic configuration interaction (RCI) approach (GRASP2K) to provide a consistent set of transition energies and radiative transition data for the lower $n =3$ states in all Cl-like ions of astrophysical importance, f...
--- abstract: 'Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a heavy quark have been constructed and implemented. These algorithms (based on integration by parts recurrence relations) reduce an arbitrary diagram to a combination of a finite number of basis integrals. H...
--- abstract: 'We give the first explicit computations of rational homotopy groups of spaces of “long knots” in Euclidean spaces. We define a spectral sequence which converges to these rational homotopy groups whose $E^1$ term is defined in terms of braid Lie algebras. For odd $k$ we establish a vanishing line for this...
--- abstract: 'Least-squares fits are popular in many data analysis applications, and so we review some theoretical results in regard to the optimality of this fit method. It is well-known that common variants of the least-squares fit applied to Poisson-distributed data produce biased estimates, but it is not well-know...
--- author: - | [^1]\ Institute for Theoretical Physics, KIT, 76128 Karlsruhe, Germany\ E-mail: - | Francisco Campanario\ Theory Division, IFIC, University of Valencia-CSIC, E-46980 Paterna, Valencia, Spain\ E-mail: - | Sebastian Sapeta\ CERN PH-TH, CH-1211, Geneva 23, Switzerland\ E...
--- abstract: 'While the existence of a spin-liquid ground state of the spin-1/2 kagome Heisenberg antiferromagnet (KHAF) is well established, the discussion of the effect of an interlayer coupling (ILC) by controlled theoretical approaches is still lacking. Here we study this problem by using the coupled-cluster metho...
--- abstract: 'Studying unidentified $\gamma$-ray sources is important as they may hide new discoveries. We conducted a multiwavelength analysis of 13 unidentified Fermi-LAT sources in the 3FGL catalogue that have no known counterparts (Unidentified Gamma-ray Sources, UnIDs). The sample was selected for sources that ha...
--- abstract: 'The properties of Josephson devices are strongly affected by geometrical effects. A loop-shaped superconducting electrode tightly couples a long Josephson tunnel junction with the surrounding electromagnetic field. Due to the fluxoid conservation, any change of the magnetic flux linked to the loop result...
--- abstract: | In this note we study the existence of the Lelong-Demailly number of a negative plurisubharmonic current with respect to a positive plurisubharmonic function on an open subset of $\C^n$. Then we establish some estimates of the Lelong-Demailly numbers of positive or negative plurisubharmonic currents...
--- abstract: 'We calculate the indirect charge carrier mediated Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities for two selected graphene nanoflakes containing four hexagonal rings in their structure, differing by their geometry. We describe the electronic structure of either charge-neutra...
--- author: - 'Christian Forster, Luca Carlone, Frank Dellaert, Davide Scaramuzza[^1]' bibliography: - 'main.bib' title: 'On-Manifold Preintegration for Real-Time Visual-Inertial Odometry' --- This paper has been accepted for publication in *IEEE Transactions on Robotics*.\ DOI: [10.1109/TRO.2016.2597321](http://dx.d...
--- author: - 'J. C. Guella[^1] , V. A. Menegatto &A. P. Peron' title: '**Strictly positive definite kernels on a product of circles**' --- [**Key words and phrases:**]{} strictly positive definite kernels, isotropy, product of circles, Schoenberg theorem, Skolem-Mahler-Lech theorem.\ [**2010 Math. Subj. Class.:**]{} ...
--- address: - University of Arizona - Yale University - Northwestern University - 'Université Paris-7' author: - Paul Bressler - Mikhail Kapranov - Boris Tsygan - Eric Vasserot title: 'Riemann-Roch for real varieties' --- 6.5in \[thm\][Corollary]{} \[thm\][Proposition]{} \[thm\][Lemma]{} \[thm\][Claim]{} \[thm\][Con...
--- abstract: 'The randomization of a complete first order theory $T$ is the complete continuous theory $T^R$ with two sorts, a sort for random elements of models of $T$, and a sort for events in an underlying probability space. We give necessary and sufficient conditions for an element to be definable over a set of pa...
--- abstract: 'In the framework of simple spin-boson Hamiltonian we study an interplay between dynamic and spectral roots to stochastic-like behavior. The Hamiltonian describes an initial vibrational state coupled to discrete dense spectrum reservoir. The reservoir states are formed by three sequences with rationally i...
--- abstract: 'The electromagnetic component waves, comprising together with their generating oscillatory massless charge a material particle, will be Doppler shifted when the charge hence particle is in motion, with a velocity $v$, as a mere mechanical consequence of the source motion. We illustrate here that two such...
--- abstract: 'In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike previous convex methods relying on semidefinite programming, we formula...
--- abstract: 'In preparation for deep extragalactic imaging with the James Webb Space Telescope, we explore the clustering of massive halos at $z=8$ and $10$ using a large N-body simulation. We find that halos with masses $10^9$ to $10^{11}$ ${\ensuremath{h^{-1}\;M_\odot}}$, which are those expected to host galaxies d...
--- abstract: 'We introduce a model for the adaptive evolution of a network of company ownerships. In a recent work it has been shown that the empirical global network of corporate control is marked by a central, tightly connected “core” made of a small number of large companies which control a significant part of the ...
--- abstract: 'We study indefinite quaternion algebras over totally real fields $F$, and give an example of a cohomological construction of $p$-adic Jacquet-Langlands functoriality using completed cohomology. We also study the (tame) levels of $p$-adic automorphic forms on these quaternion algebras and give an analogue...
--- abstract: 'We consider the infinite dimensional linear programming (inf-LP) approach for solving stochastic control problems. The inf-LP corresponding to problems with uncountable state and input spaces is in general computationally intractable. By focusing on linear systems with quadratic cost (LQG), we establish ...
--- abstract: 'We used our newly developed magnetohydrodynamic (MHD) code to perform 2.5D simulations of a fast-mode MHD wave interacting with coronal holes (CH) of varying Alfvén speed which result from assuming different CH densities. We find that this interaction leads to effects like reflection, transmission, stati...
--- abstract: 'We introduce a new kind of spontaneous four wave mixing process for the generation of photon pairs, in which the four waves involved counter-propagate in a guided-wave $\chi^{(3)}$ medium; we refer to this process as counter-propagating spontaneous four wave mixing (CP-SFWM). We show that for the simples...
--- abstract: 'Variability selection has been proposed as a powerful tool for identifying both low-luminosity AGN and those with unusual SEDs. However, a systematic study of sources selected in such a way has been lacking. In this paper, we present the multi-wavelength properties of the variability selected AGN in GOOD...
--- abstract: 'We study the ground state eigenvalues of Baxter’s $\Q$-operator for the eight-vertex model in a special case when it describes the off-critical deformation of the $\Delta=-\frac{1}{2}$ six-vertex model. We show that these eigenvalues satisfy a non-stationary Schrodinger equation with the time-dependent p...
--- abstract: 'The redshift-space distortion (RSD) in the observed distribution of galaxies is known as a powerful probe of cosmology. Observations of large-scale RSD, caused by the coherent gravitational infall of galaxies, have given tight constraints on the linear growth rate of the large-scale structures in the uni...
--- abstract: 'Parametric down conversion (PDC) is widely interpreted in terms of photons, but, even among supporters of this interpretation, many properties of the photon pairs have been described as “mind-boggling" and even “absurd". In this article we argue that a classical description of the light field, taking acc...
--- abstract: 'Using the cosmological smoothed particle hydrodynamical code [GADGET-3]{} we make a realistic assessment of the technique of using constant cumulative number density as a tracer of galaxy evolution at high redshift. We find that over a redshift range of $3\leq z \leq7$ one can [*on average*]{} track the ...
--- author: - | Marián Kolesár\ Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University in Prague, CZ-18000 Prague, Czech republic\ E-mail: - | Jiří Novotný\ Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University in...
--- abstract: 'In this letter we examine a model recently proposed to produce phase synchronization \[K. Wood *et al*, Phys. Rev. Lett. [**96**]{}, 145701 (2006)\] and we show that the onset to synchronization corresponds to the emergence of an intermittent process that is non-Poisson and renewal at the same time. We a...
--- abstract: | Random intersection graphs (RIGs) are an important random structure with applications in social networks, epidemic networks, blog readership, and wireless sensor networks. RIGs can be interpreted as a model for large randomly formed non-metric data sets. We analyze the component evolution in general...
--- abstract: 'The ultrafast non-radiative relaxation of a molecular ensemble coupled to a cavity mode is considered theoretically and by real-time quantum dynamics. For equal coupling strength of single molecules to the cavity mode, the non-radiative relaxation rate from the upper to the lower polariton states is foun...
--- abstract: | Let $ G $ be a connected, simply connected nilpotent Lie group and $ \Gamma < G $ a lattice. We prove that each ergodic diffeomorphism $ \phi(x\Gamma)=uA(x)\Gamma $ on the nilmanifold $ G/\Gamma $, where $ u\in G $ and $ A:G\to G $ is a unipotent automorphism satisfying $ A(\Gamma)=\Gamma $, enjoys ...
In a recent Letter [@Johnson; @and; @Quiroga], Johnson and Quiroga have obtained several interesting exact results for electrons with $1/r^2$ interactions in a two-dimensional quantum dot. A parabolic confining potential of the form ${\textstyle{1\over 2}} m \omega_0^2 r^2$ is assumed, and the system is subjected to a ...
--- abstract: 'In this paper, we consider a two-hop amplify-and-forward (AF) relaying system, where the relay node is energy-constrained and harvests energy from the source node. In the literature, there are three main energy-harvesting (EH) protocols, namely, time-switching relaying (TSR), power-splitting (PS) relayin...
--- abstract: 'We report on the experimental observation of bunching dynamics with temporal cavity solitons in a continuously-driven passive fibre resonator. Specifically, we excite a large number of ultrafast cavity solitons with random temporal separations, and observe in real time how the initially random sequence s...
--- author: - | V. Antonelli$^{a,b}$, E. Torrente-Lujan$^{c}$\ [*$^{a}$ Dip. di Fisica, Università degli Studi di Milano, Milano, Italy\ $^{b}$ I.N.F.N., Sezione di Milano, Milano, Italy\ $^{c}$ Dept. de Fisica, Universidad de Murcia, Murcia, Spain\ *]{} title: Statistically improved Analysis of Neu...
--- abstract: 'In $U$-duality-manifest formulations, supergravity fields are packaged into covariant objects such as the generalized metric and $p$-form fields ${\mathcal A}_p^{I_p}$. While a parameterization of the generalized metric in terms of supergravity fields is known for $U$-duality groups $E_n$ with $n\leq 8$,...
--- abstract: | The mathematical problem of the static storage optimisation is formulated and solved by means of a variational analysis. The solution obtained in implicit form is shedding light on the most important features of the optimal exercise strategy. We show how the solution depends on different constraint ...
--- abstract: 'In this study, we consider the problem of variable selection and estimation in high-dimensional linear regression models when the complete data are not accessible, but only certain marginal information or summary statistics are available. This problem is motivated from the Genome-wide association studies...
--- abstract: 'We introduce and develop a new semi-algebraic proof system, called Stabbing Planes that is in the style of DPLL-based modern SAT solvers. As with DPLL, there is only one rule: the current polytope can be subdivided by branching on an inequality and its “integer negation.” That is, we can (nondeterministi...
--- abstract: 'In this paper, we investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressi...
--- abstract: | [ A routing $R$ of a given connected graph $G$ of order $n$ is a collection of $n(n-1)$ simple paths connecting every ordered pair of vertices of $G$. The vertex-forwarding index $\xi(G,R)$ of $G$ with respect to $R$ is defined as the maximum number of paths in $R$ passing through any vertex of $G$....
--- abstract: 'We constrain the form of the primordial power spectrum using Wilkinson Microwave Anisotropy Probe (WMAP) 3-year cosmic microwave background (CMB) data (+ other high resolution CMB experiments) in addition to complementary large-scale structure (LSS) data: 2dF, SDSS, Ly-$\alpha$ forest and luminous red ga...
--- abstract: 'The self-duality equations on a Riemann surface arise as dimensional reduction of self-dual Yang-Mills equations. Hitchin had showed that the moduli space ${\mathcal M}$ of solutions of the self-duality equations on a compact Riemann surface of genus $g >1$ has a hyperKähler structure. In particular ${\m...
--- abstract: 'By projecting onto complex optical mode profiles, it is possible to estimate arbitrarily small separations between objects with quantum-limited precision, free of uncertainty arising from overlapping intensity profiles. Here we extend these techniques to the time-frequency domain using mode-selective sum...
--- abstract: 'The ultraviolet spectra of all “weak emission line central stars of planetary nebulae” (WELS) with available IUE data is analyzed. We found that the WELS can be divided in three different groups regarding their UV: (1) Strong P-Cygni profiles (mainly in C IV 1549); (2) Weak P-Cygni features and (3) Absen...
--- abstract: 'We study numerically stabilization against ionization of a fully correlated two-electron model atom in an intense laser pulse. We concentrate on two frequency regimes: very high frequency, where the photon energy exceeds both, the ionization potential of the outer [*and*]{} the inner electron, and an int...
--- abstract: 'Starting from a general operator representation in the time-frequency domain, this paper addresses the problem of approximating linear operators by operators that are diagonal or band-diagonal with respect to Gabor frames. A characterization of operators that can be realized as Gabor multipliers is given...
--- abstract: 'Multicopters are becoming increasingly important in both civil and military fields. Currently, most multicopter propulsion systems are designed by experience and trial-and-error experiments, which are costly and ineffective. This paper proposes a simple and practical method to help designers find the opt...
--- abstract: 'This paper explores the relationship between the existence of an exact embedded Lagrangian filling for a Legendrian knot in the standard contact $\rr^3$ and the hierarchy of positive, strongly quasi-positive, and quasi-positive knots. On one hand, results of Eliashberg and especially Boileau and Orevkov ...