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abstract: 'There is evidence that Newton’s and Einstein’s laws of gravity cannot account for the observed motions in a universe composed only of ordinary matter and radiation To be able to understand the properties of galaxies, clusters of galaxies and the universe on the whole it has become commonplace to invoke the p...
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The structural properties of strongly coupled ions in dense plasmas with moderately to strongly degenerate electrons are studied using the one-component plasma model, where ions interact via a screened pair interaction potential Special focus is put on the descriptioParticular attention is given to the treatment of ele...
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A basis set method is used to determine the energy levels and wave functions for an electron confined to a toroidal surface $T^2$ in a uniform magnetic field applied in any direction The evolution of sThe behavior of several low-lying states as a function of field strength and orientation is presented, and a method to ...
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Person re-identification (re-ID) [@zheng2016personsurvery] is an image retrieval problem, which aims to find matching persons of a query from a non-overlapping camera database. The leading approaches have shown impressive results when trained and tested on the same data distribution. However, their performance can drop...
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MAISE is a free software package for materials modeling and prediction The code’s main feature is an automated generation of neural network (NN) interatomic potentials for use in global structure searches. The systematic construction of Behler-Parrinello-type NN models approximating *ab initio* energy and forces relies...
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We present a method to incorporate nonlocal potentials into the standard Diffusion Monte Carlo approach without relying on the locality approximation We define a stochastic projection based on a fixed node effective Hamiltonian, whose lowest energy is an upper bound of the true ground state energy, even in the presence...
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Sparse superposition codes (SPARCs) are a type of code for reliable communication over the AWGN channel at rates close to the channel capacity In a standard SPARC, codewords are sparse linear combinations of columns of an i.i.d. Gaussian design matrix, whiGaussian measurement matrix, whereas in a spatially coupled SPAR...
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Gallai’s colouring theorem states that if the edges of a complete graph are 3-coloured, with each colour class forming a connected (spanning) subgraph, then there is a triangle with all 3 colours What happens for more colours: if we $k$-colour the edges of the complete graph, with each colour class connected, how many ...
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Let $X/S$ be a quasi-projective morphism over an affine base scheme $S$ We develop in this article a technique for proving the existence of closed subschemes $H/S$ of $X/S$ with various favorable properties. We offer several applications of this technique, including the existence of finite quasi-sections in certain pro...
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abstract: 'In this note, we study when a complex nilmanifold admits a Kähler-like Strominger (also called Bismut), Chern, or Riemannian connection, meaning the curvature of the connection satisfies all the symmetries of a Kähler metric.' We give a classification in the first two cases and a partial description in the t...
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Let $I$ and $J$ be homogeneous ideals in a standard graded polynomial ring over a field We study upper bounds of the Hilbert function of the intersection of $I$ and $g(J)$, where $g$ is a general change of coordinates. Ourmain theorem provides an extension of Green’s hyperplane section theoremdress: - ' Department of M...
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The recently emerging field of “coded computing” focuses on using redundancy based on coding-theory-inspired techniques to address key challenges in distributed computing, such as stragglers, failures, computational errors, communication bottlenecks, and security concerns. These concepts have been applied to various la...
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Photonic topological insulators are an attractive photonic platform because they enable unidirectional edge states that are robust against bending, fabrication defects, or environmental changes Here we demonstrate highly efficient unidirectional photonic edge mode propagation facilitated by an optical analogue of the q...
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abstract: 'A local solution to the Problem of Time has recently been provided, along with its reformulation as a local theory of Background Independence The classical part of this can be viewed as requiring just Lie’s Mathematics, albeit entrenched in subsequent Topology and Differential Geometry developments and exten...
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We investigate systems of stochastic differential equations modeling positions $x_1,x_2,\ldots,x_p$ of $p$ ordered particles, with pairwise repulsions given by $\displaystyle{\frac{H_{ij}(x_i,x_j)}{x_i-x_j}}$ We show the existence of strong and pathwise unique non-colliding solutions of the system with a colliding init...
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The detection of gravitational waves (GWs) has sparked discussions about their propagation in an expanding Universe General relativity predicts that GWs are massless and propagate at the speed of light with no extra friction term, which relates to the attenuation of GWs, while some modified gravities may predict a diff...
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In this paper, we introduce a novel supervised learning algorithm inspired by the Hebbian learning rule, aiming to provide an alternative to backpropagation and gradient descent for a method that is more consistent with biological learning processes The best performance for the algorithm was achieved when it was run on...
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abstract: 'We study a fluid-structure interaction problem for an incompressible fluid where the elastic behavior of the free boundary is modeled by a damped Kirchhoff plate equation.' Utilizing the Newton polygon approach, we first prove maximal regularity in $L^p$-Sobolev spaces for a linearized version. Based on this...
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abstract: 'With proton-proton collisions at PHENIX, several direct channels are utilized to study the internal structure of the proton.' Of the many channels available at PHENIX, charged pion measurements are expected to have sensitivity of $\Delta$g and thus help in the global analysis that will constrain it. We prese...
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We address the task of inferring likely missing facts in relational data, given a collection of possibly imperfect logical rules In partiIn particular, our goal is to provide bounds on the (expected) number of incorrect inferences that result from this approachor classical inference it is in general impossible to bound...
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We present a technique for reconstructing the form of the mass power spectrum on large scales from the flux fluctuations of the Lyman-alpha forest, explicitly accounting for redshift-space distortions The procedure, in discretized form, involves the inversion of a triangular matrix which projects the mass power spectru...
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abstract: 'We use a recently developed method to not only obtain the exactly known eigenstates and eigenvalues of several quasi-exactly solvable Hamiltonians, but also to construct a convergent approximation scheme for finding those levels that cannot be treated analytically.' The fact that, the above method yields an ...
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A central challenge in vision-and-language navigation (VLN) is developing reliable instruction encodings and action prediction methods that can effectively generalize to new instructions and environments In this paper, we report two simple but highly effective methods to address these challenges and lead to a new state...
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Deep learning researchers often claim that converged models are trapped in local minima More recently, some researchers observed that under reasonable assumptions, the vast majority of critical points are saddle points, not true minima. Both descriptions sBoth descriptions imply that weights settle near a point in weig...
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author: - | Martial MAZARS[^1]\ Laboratoire de Physique Théorique (UMR 8627),\ Université Paris XI, Bâtiment 210, 91405 Orsay Cedex, FRANCE title: 'Ewald sums for Yukawa potentials in quasi-two-dimensional systems.' --- LPT 06-98 [**Abstract**]{} In this note, we derive Ewald sums for Yukawa potential fo...
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The standard scenario involves nucleating (either thermally or quantum mechanically) a bubble within a uniform false vacuum background. Inside the bubble is the true vacuum, separated from the false vacuum by domain walls, which represent the lowest energy configuration connecting the two vacua The standard picture is ...
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The increasing adoption of electric vehicles in the coming years, combined with the high expense of upgrading local distribution networks and consumer preference for home charging, indicates that managing congestion on low voltage networks will be a key aspect of the electric vehicle transition and the shift away from ...
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The resonance $X(3823)$, identified as the charmonium $^3D_2$ state, was recently observed in the process $e^+e^- \to \pi \pi X(3823)$ by BESIII It is pointed out that this process is fully described, up to one overall coupling constant, in the soft pion limit. An interpretation of the available and possible future dat...
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A phenomenological QCD quasiparticle model offers a way to connect lattice QCD results to regions relevant for various heavy-ion collision experiments at higher baryon densities We report on effects of collectives modes and damping on the equation of state.' author: - | R. lattice QCDresults are still limited to ra...
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The approximations are used to compute the numerical solutions of the fractional relaxation and subdiffusion equations. Although the weights for the $2-{\alpha}$ order approximation resemble those of the $L1$ method, the resulting numerical solution is more precise for the cases considered in this paper and for many co...
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abstract: 'Graph representation learning has re-emerged as a popular research area due to the widespread adoption of deep learning for Euclidean data, which has led to many innovative neural network designs for non-Euclidean domains, especially graphs.' With the success of these graph neural networks (GNN) in the stati...
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The ad-trading desks of media-buying agencies are increasingly using advanced algorithms to purchase advertising inventory In particular, Real-Time Bidding (RTB) algorithms respond to many auctions – usually Vickrey auctions – throughout the day for buying ad-inventory with the aim of maximizing one or several key perf...
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Stochastic blockmodels have been introduced as a method for identifying community structure in networks and for creating artificial networks to serve as benchmarks Most blockmodels, however, ignore variation in vertex degree, making them unsuitable for applications to real-world networks, which typically display broad ...
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We thank John Collins for many valuable discussions. We also thank Maarten Buffing and Tomas Kasemets for carefully reading the manuscript. Some calculations were performed using FORM [@Kuipers:2012rf], and figures were made with JaxoDraw [@Binosi:2003yf] Thanks go to Maarten Buffing and Tomas Kasemets for their carefu...
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abstract: 'Within the framework of Ginzburg-Landau theory we investigate the diverse range of interfacial phase transitions in twinning-plane superconductors We show that the phase behaviour strongly depends on the transparency of the twinning plane for electrons measured by means of the coupling parameter $\alpha_{{\r...
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Let $R$ be a ring spectrum and $ {\mathcal{E}}\to X$ an $R$-module bundle of dimension $n$ Our main result is to identify the homotopy type of the group-like monoid of homotopy automorphisms of this bundle, $hAut^R({\mathcal{E}})$. This will generalize the result regarding $R$-line bundles proven by the authors in [@cj...
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We provide an overview of blazar observations made by the Energetic Gamma Ray Experiment Telescope (EGRET) aboard the Compton Gamma Ray Observatory (CGRO) EGRET has detected high energy $\gamma$-ray emission at energies greater than 100 MeV from more that 50 blazars. These sources show inferred isotropic luminosities a...
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We study the ${\cal N}=1$ superpotential induced in type-II orientifold compactifications by non-geometric fluxes. In particular, our focus is on the class of $P$ fluxes, which are related via T-duality to the S-dual of the $Q$ flux. We establish the general rule for how any flux in this class transforms under a single...
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abstract: 'In recent years, numerous observational studies have shown that binary systems play a significant role in shaping non-spherical planetary nebulae.' We resummarize the various studies that provide direct or indirect evidence supporting the existence of binary companions during the Asymptotic Giant Branch, pro...
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We investigate a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal bath at infinite temperature The disorder acts to localise an exciton spatially, while the environment generates dynamics which enable exploration of the lattice. Although the steady state of the system is tr...
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Massive multiple-input multiple-output (MIMO) systems provide high sum spectral efficiency by delivering a significant increase in multiplexing gains In time division duplexing systems, however, the reuse of uplink training pilots among cells results in additional channel estimation error, which causes downlink inter-c...
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abstract: 'For all positive integers $r\geq 3$ and $n$ such that $r^2-r$ divides $n$ and an affine plane of order $r$ exists, we construct an $r$-edge colored graph with minimum degree $(1-\frac{r-2}{r^2-r})n-2$ so that the largest monochromatic component has size less than $\frac{n}{r-1}$.' This generalizes an example...
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In quark models, hybrid mesons are typically described either as two-body $q\bar q$ systems with an excited string connecting the quark and antiquark, or as three-body $q\bar q g$ systems that include a constituent gluon In this work we show that, starting from the three-body wave function of the $q\bar q g$ hybrid mes...
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The influence of delayed feedback on nonlinear oscillators has been widely investigated, with significant applications across various fields of science and engineering We study a parWe consider a specific type of second-order delay-differential equations near a triple-zero nilpotent bifurcation pointmanifold and normal...
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--- abstract: 'Experimental studies are carried out to investigate the effects of the geometrical parameters with a drag reducing spike on a hemispherical forebody in a supersonic freestream of $M_\infty=2.0$ at $0^{\circ}$ angle of attack. The spike length $(l/D=0.5,1.0,1.5,2.0)$, spike stem diameter $(d/D=0.06,0.12,0...
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introduced environmental effects into a QW using computational or physical models such as pure dephasing [@Rebentrost09a], but have not considered walks where environmental effects are defined axiUsing an axiomatic framework, we define the rules governing all possible quantum, classical, and quantum-stochastic transiti...
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Led by a facilitator, non-experts and students are invited to take on the roles of quantum particles and act out a quantum cryptography protocol The performance is based on a generalized urn model capable of reproducing complementarity even for classical chocolate balls.' author: - Karl Svozil title: 'Staging quantum c...
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abstract: 'The integration-by-parts formula introduced by Malliavin for the Itô map on Wiener space is established using two-parameter stochastic calculus.' It isIt is further demonstrated that the solution to a one-parameter stochastic differential equation driven by a two-parameter semimartingale is itself a two-para...
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Missing data are a frequent issue in cluster randomised trials and can result in biased and inefficient estimates if not addressed properly or are ignored Two approaches for analysing suTwo common methods for analysing such trials are cluster-level and individual-level analyses performance of unadjusted cluster-level a...
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Collisional excitation rate consR. C. Forreyl M. P. C. Forrey Forrey' - 'P. C. Stancil' - 'N. Balakrishnan' title: Collisional quenching of highly rotationally excited HF --- [Collisional excitation rate coefficients play an important role in the dynamics of energy transfer in the interstellar medium. In particular, ...
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--- author: - | [Nicolas Weber,]{} [Florian Schmidt,]{} [Mathias Niepert,]{} [Felipe Huici]{}\ NEC Laboratories Europe, Systems and Machine Learning Group title: 'BrainSlug: Transparent Acceleration of Deep Learning Through Depth-First Parallelism' --- =1
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Stochastic processes with boundary reflection of Stochastic Processes, 3 Tereschenkovskaya Str., 01601 Kiev-4, UKRAINE. ( apilip@imath.kiev.ua)]{} [**Summary:** Some topological properties of stochastic flow $\varphi_t(x)$ generated by stochastic differential equation in a ${\mathbb R}^d_+$ with normal reflection at t...
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II.] Institute for Theoretical Physics, University of Stuttgart Institut für Theoretische Physik\ Universität Stuttgart title: Models for Pedestrian Behavior --- Abstract ======== The behavior of pedestrians shows certain regularities, which can be described by quantitative (partlThe models are based on the actio...
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We report a computational investigation of the layered copper oxychloride (CuCl)LaNb$_2$O$_7$, recently identified as a spin-1/2 frustrated square lattice material Our results evidence an orbitally degenerate ground state for the reported tetragonal crystal structure and reveal a Jahn-Teller-type structural distortion....
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In this study, we present a method for analyzing lightning using color analysis techniques We analyzed the digital still images in which the cloud-to-ground (CG) and intracloud (IC) lightning flashes are shown. Applying some By using digital image processing methods, we identified lightning channelsrelated color temper...
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Effective interactions, either obtained from microscopic theories or constructed by fitting selected properties of nuclei in particular mass regions, are commonly used inputs for shell-model calculations of nuclei The commonly used unperturbed basis functions are given by the harmonic oscillator. Until recently, most s...
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We address the ‘cuspy-core’ problem by modifying the geodesic equations of motion with the Dark Energy length scale $\lambda_{DE}=c/(\Lambda_{DE} G)^{1/2}$ This extension does not affect the mThis modification does not influence the motion of photons; gravitational lensing remains unaffectedis made, and $\sigma_8$ is c...
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We describe an algorithm for classification problems involving large datasets Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble methods, the models produced by the algorithm can be easily inter...
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abstract: 'For each $n$ we construct examples of finitely presented $C'(1/6)$ small cancellation groups that do not act properly on any $n$-dimensional CAT(0) cube complex.' addreaddress: 'Department of Mathematics, University of Chicago, Chicago, IL 60637'this note we are interested in the minimal dimension of a CAT(0...
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In anticipation of the July 2015 flyby of the Pluto system by NASA’s New Horizons mission, we suggest naming guidelines and sample names for surface features on Pluto and its moons (Charon, Nix, Hydra, Kerberos, Styx) as well as names for newly found moons author: - | Eric E. Mamajek$^{1}$[^1], Valerie A. Rapson$^{...
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We investigate low-temperature magnetization behavior in a stacked triangular Ising antiferromagnet using Monte Carlo simulations In increAs the magnetic field is increased and decreased, we observe multiple steps and hysteresis associated with different metastable states the equidistant threefold splitting of the 1/3 ...
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abstract: 'The emptiness of the Local Void has been proposed as a significant challenge to the current standard model of structure formation in $\Lambda$CDM.' We use a high resolution cosmological N-body simulation, the Millennium-II run, combined with a sophisticated semi-analytic galaxy formation model, to explore st...
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Atomic parity nonconservation (PNC) has now been measured in bismuth [@Bi], lead [@Pb], thallium [@Tl], and cesium [@Cs]. Analysis of the data provides an important test of the Standard Electroweak model and imposes constraints on new physics beyond the model, see Ref. [@RPP]. The analysis is based on the atomic many-b...
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We present new radial velocity (RV) data for 11 candidate young very-low-mass stars and brown dwarfs, with spectral types ranging from M7 to L7 Candidate young objects were identified by features indicative of low surface gravity in their optical and/or near-infrared spectra. RV measurements are derived from high resol...
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Abstract: "Counter-rotating vortices in miscible two-component Bose-Einstein condensates, where the superflows rotate in opposite directions between the two components around overlapping vortex cores, are investigated theoretically in a pancake-shaped trap." In a linear stability analysis with the Bogoliubov–de Gennes ...
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Interesting similarities between density fluctuation power as a function of wavenumber on both small (mm) and large (Mpc) scales are shown The comparative study is carried out between fusion plasma measurements and cosmological data. Based on predictions from classical fluid turbulence theory, we argue that our observa...
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abstract: 'In the framework of a quantum nondemolition (QND) measurement, an observable is measured without disturbing its evolution In the context of studies of decoherence in quantum computing, we examine the ‘open’ quantum system of a two-level atom, or equivalently, a spin-1/2 system, in interaction with quantum re...
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In these proceedings we continue the work on 2+1 flavor QCD thermodynamics with improved staggered fermions by the HotQCD collaboration. The simulation setup and some initial results have been discussed previously, e.g. [@Jamaica; @lat10; @soeldner_lat10; @prasad_panic11], and the continuum extrapolation for chiral $T_...
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has been shown to be a powerful tool for detecting the dark matter component in galactic halos in the form of MACHOs Calchi Novati[^1]\' title: | Microlensing towards M31:\ candidates and perspectives --- Introduction ============ Since Paczyński’s original proposal[@pacz] gravitational microlensing has been ...
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scientists working on the interpretation of strong lensing observations and for those developing theoretical models of cluster mass distributions. In this paper, we aim to systematically investigate the sensitivity of gravitational arcs to the ellipticity, asymmetries, and substructures present in galaxy clusters. By u...
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In some cases, a hot system cools down faster than an identical system that starts off at a lower temperature This phenomenon – the “Mpemba Effect” – is well known in water, and has recently been observed in other systems as well. However, there is no single generic mechanism that explains this counter-intuitive behavi...
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abstract: 'These lecture notes provide an introduction to mm/submm extragalactic astronomy, focused on AGN studies, with the main goal of preparing students for their future use of ALMA capabilities.' I first provide an overview of the current results obtained through mm/submm observations of galaxies and AGNs, both lo...
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$^7$Li and $^1$H NMR as well as magnetization measurements on [Li$_{0.5}$MnPc]{} (Pc$\equiv$C$_{32}$H$_{16}$N$_8$), recently identified as a strongly correlated metal, are reported Two different low-frequency dynamics are evidenced. The firsThe first, detected by $^1$H nuclei, leads to a slowly relaxing magnetization a...
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The first phase, known as cycle removal, addresses the feedback arc set problem To cater for cyclic graphs, usually a preprocTo handle cyclic graphs, typically a preprocessing step is applied that transforms the graph into an acyclic one before performing layeringcombination of and simultaneously, allowing general grap...
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We introduce a category of insulators with gapless surface states that are protected from localization because of the statistical characteristics of a disordered ensemble, specifically due to the ensemble’s invariance under a particular symmetry We show that these insulators are topological, and are protected by a $\ma...
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Las ciudades inteligentes (o *smart cities*) representan una tendencia creciente en muchas ciudades de Argentina En particular, las denominadas ciudades intermedias presentan un contexto y requerimientos diferentes a los de las grandes ciudades respecto a ciudades inteligentes. Un aspecto de relevancia es el fomentar e...
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The standard quantum error correction protocols use strong measurements to extract the error syndromes from the encoded states We consider the moregeneral case of weak measurements, where only limited information about the error syndrome can be obtained from the encoded stateback protocol that probabilistically correct...
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We investigate how algebraically localized impurities influence striped phases in one spatial dimension We therefore develop a functional-analytic framework which allows us to cast the perturbation problem as a regular Fredholm problem despite the presence of essential spectrum, caused by the soft translational mode. O...
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This note generalizes the invariant of metric spaces under bornologous equivalences defined in [@MMS] to the coarse category address: - 'SCorrespondence: - 'S - 'Saint Francis University, Loretto, PA 15940' - 'Saint Francis University, Loretto, PA 15940' - 'Saint Francis University, Loretto, PA 1J. Fox - 'RLaBu...
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abstract: '@Tempelmeier2007 examines the task of determining replenishment cycle policy parameters when facing non-stationary stochastic demand and service level requirements.' He analyses two possible service level measures: the minimum no stock-out probability per period ($\alpha$-service level) and the so called “fi...
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main author(s) Platais' - 'C. Melo' - 'J.-C. Mermilliod' - 'V. Kozhurina-Platais' - 'J. P. Fulbright' - 'R. A. Méndez' - 'M. AltAltmann et alerauskas' bibliography: - '5756bib.bib' date: 'Received 2 June 2006/ Accepted 21 August 2006' title: 'WIYN Open Cluster Study. XXVIXXVIroImproved kinematic membership and spectros...
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abstract: 'The theory of magnetized induced scattering by relativistic gyrating particles is presented It is directly applicable to the magnetosphere of a pulsar, in which case the particles acquire gyration energies as a result of resonant absorption of radio emission. In the course of the radio beam scattering into b...
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abstract: 'The proton-proton fusion rate is computed at low energy using a lattice effective field theory (EFT) approach.' The strong and the Coulomb interactions are treated non-perturbatively at leading order in the EFT. The lattice results are shown to accurately describe the low energy cross section within the vali...
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abstract: 'The equation of state (EOS) for the osmotic pressure of linear-polymer solutions in good solvents is generally characterized by a universal scaling function.' We experimentally measured the osmotic pressure of the gelation process via osmotic deswelling. It is found that the same scaling function for linear-...
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abstract: 'The neutron long counter NERO was constructed at the National Superconducting Cyclotron Laboratory (NSCL), Michigan State University, for determining $\beta$-delayed neutron-emission probabilities The detector was designed to work in conjunction with a $\beta$-decay implantation station, so that $\beta$ deca...
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We prove that the group of bounded automorphisms of a rooted tree generated by finite automata is amenable, which implies amenability for many classes of automaton groups The proof is based on reducing the problem to showing amenability just of a certain explicit family of groups (“Mother groups”) which is done by anal...
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abstract: 'The typical optical-UV continuum slopes seen in many type 1 active galactic nuclei (AGN) are redder than predicted by thin accretion disk models A possible resolution to this conundrum is that many AGN are reddened by dust along the line of sight. To explore this possibility, we stack $5000$ SDSS AGN with lu...
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Elliptic flow refers to an azimuthal anisotropy in hadron production during non-central relativistic heavy ion collisions. The term comes from the typical explanation: the hot, dense matter created in these collisions expands more strongly along the direction of the impact parameter due to pressure gradients, resulting...
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Let $f=(f_1,\ldots,f_n)$ be a collection of $n$ complex homogeneous polynomials in $n$ variables of degree $d\geq 2$ We call $(\zeta,\eta)\in {\mathbb{P}}^n\backslash{\left\{[0:1]\right\}}$ an *h-eigenpair* of $f$ if $f(\zeta)=\eta^{d-1} \zeta$. We describe a randomized algorithm to compute approximations of h-eigenpai...
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abstract: 'Partial differential equations (PDEs) on manifolds have found significant applications across various areas of science and engineering.' Existing methodsExisting approaches are primarily based on discretizing manifolds as implicit surfaces, triangular meshes, or point clouds, where the manifold is represente...
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this optimization is an essential component and enables us to construct a method that, given adequate solution regularity, can be more efficient than existing multi-level collocation methods MISC is a combination technique based on mixed differences of spatial approximations and quadratures over the space of random dat...
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Later, in [@Artal94] the first author applies this to the specific case of coverings of $\PP^2$, reducing the problem to a combination of global and local conditions on projective curves Later, in [@Artal94] the first author applies this to the particular case of coverings of $\PP^2$, reducing the problem to a combinat...
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We investigate the ground state characteristics of a trapped Bose condensate containing a neutral impurity By varying the strength of the attractive atom-impurity interactions the degree of localization of the impurity at the trap center can be controlled. As the impurity becomes more strongly localized the peak conden...
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Due to its computational simplicity, a two-dimensional two-electron model atom, where each electron moves along a single axis, serves as an ideal system for non-perturbative studies of fully correlated atoms in laser fields FrequentlyCommon assumptions, such as the “single active electron” approach and computational me...
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abstract: 'Grouping different sets of objects (clusters) with connected areas of high probability density (high-density clusters) is fundamental to many statistical and machine learning methods for classifying unlabeled data.' We propose a novel hyperplane classifier for clustering and semi-supervised classification wh...
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main subject classification: The paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary codimension. In particular we develop a precise theory of boundary reductions. 2. We introduce the notion of a taming of a Dirac operator as an invertible perturbation by a smoothing oper...
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abstract: 'Given a Riemannian manifold $N$ of dimension $n$ and a field $D$ of symmetric endomorphisms on $N$, we define the extension $M$ of $N$ by $D$ to be the Riemannian manifold of dimension $n+1$ obtained from $N$ by a construction analogous to extending a Lie group by a derivation of its Lie algebra.' We find th...
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Abstract: "As a natural extension of derivations, 2-local derivations of a Lie algebra play an important role in the study of local properties of the structure of the Lie algebra This paper initiates the study of 2-local derivations of Lie algebras over fields of prime characteristic. Let $\ggg$ be a Jacobson-Witt alge...
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