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--- abstract: 'The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra $sl(2)$ which underlies most one-dimensional and effectively one-di...
--- abstract: | [**Abstract**]{}\ This letter provides a superfield based approach to constructing a collinear slice of $\mathcal{N}=1$ superspace. The strategy is analogous to integrating out anti-collinear fermionic degrees-of-freedom as was developed in the context of soft-collinear effective theory. The re...
--- abstract: 'Variational auto-encoders (VAEs) provide an attractive solution to image generation problem. However, they tend to produce blurred and over-smoothed images due to their dependence on pixel-wise reconstruction loss. This paper introduces a new approach to alleviate this problem in the VAE based generative...
--- abstract: | Connected vehicles are becoming commonplace. A constant connection between vehicles and a central server enables new features and services. This added connectivity raises the likelihood of exposure to attackers and risks unauthorized access. A possible countermeasure to this issue are intrusion...
--- abstract: 'Pulsars apparently missing from the galactic center could have been destroyed by asymmetric fermionic dark matter ($m_X = 1-100$ GeV) coupled to a light scalar ($m_{\phi}= 5-20$ MeV), which mixes with the Higgs boson. We point out that this pulsar-collapsing dark sector can resolve the core-cusp problem ...
--- abstract: 'In this paper, we investigate the limiting behavior of a continuous-time counterpart of the Stochastic Gradient Descent (SGD) algorithm applied to two-layer overparameterized neural networks, as the number or neurons (, the size of the hidden layer) $N \to \plusinfty$. Following a probabilistic approach,...
--- abstract: 'A Music Video (MV) is a video aiming at visually illustrating or extending the meaning of its background music. This paper proposes a novel method to automatically generate, from an input music track, a music video made of segments of Youtube music videos which would fit this music. The system analyzes t...
--- abstract: 'We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator perturbed by a scalar function. We calculate first two Gilkey-de Witt coefficients and make explicit calculations for the case of $n$-spheres with a completely symmetric Dirac. In...
--- abstract: 'It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multi-partite tensor product structure of the state-space and the associated notion of quantum entanglement are then relative and observ...
--- abstract: 'In this paper, a novel method for joint radio resource allocation (RRA), three-dimensional placement (3DP), and user association of aerial base stations (ABSs) as a main problem in the internet of things (IoT) networks is proposed. In our proposed model, we consider two schemes: a) line of sight (LoS) b)...
--- abstract: 'The synthesis and properties of LiFeAs, a high-T$_c$ Fe-based superconducting stoichiometric compound, are reported. Single crystal X-ray studies reveal it crystallizes in the tetragonal PbFCl-type (P4/nmm), with a = 3.7914(7) [Å]{}, c = 6.364(2) [Å]{}. Unlike the known isoelectronic undoped intrinsic Fe...
--- abstract: | We study the manner in which spectral shift functions associated with self-adjoint one-dimensional Schrödinger operators on the finite interval $(0,R)$ converge in the infinite volume limit $R\to\infty$ to the half-line spectral shift function. Relying on a Fredholm determinant approach combine...
--- abstract: 'In this paper we study the problem of learning the weights of a deep convolutional neural network. We consider a network where convolutions are carried out over non-overlapping patches with a single kernel in each layer. We develop an algorithm for simultaneously learning all the kernels from the trainin...
--- abstract: 'We study multiplicity of the supercritical traveling front solutions for scalar reaction-diffusion equations in infinite cylinders which invade a linearly unstable equilibrium. These equations are known to possess traveling wave solutions connecting an unstable equilibrium to the closest stable equilibri...
--- abstract: | Understanding the sources of instrumental systematic noise is a must to improve the design of future spectrographs. In this study, we alternated observations of the well-suited pair of M-stars GJ 725A+B to delve into the sub-night HARPS-N response. Besides the possible presence of a low-mass planet ...
--- author: - title: 'Object Recognition Using Deep Neural Networks: A Survey' --- Introduction ============ Recognition of objects is one of the challenges in the field of Artificial Intelligence. Many systems have been developed to recognize and classify images. In the recent years huge strides have been made in m...
--- abstract: 'The trigonal curves form a subvariety of $M_5$, the moduli space of smooth curves of genus five. The cohomological data of these spaces can be found by counting their numbers of points over finite fields. The trigonal curves of genus five can be represented by projective plane quintics that have one sing...
--- abstract: 'Polarized emission from aligned dust is a crucial tool for studies of magnetism in the ISM and a troublesome contaminant for studies of CMB polarization. In each case, an understanding of the significance of the polarization signal requires well-calibrated physical models of dust grains. Despite decades ...
--- abstract: 'Infrared-Faint Radio Sources (IFRSs) are an unusual class of objects that are relatively bright at radio wavelengths but have faint or undetected infrared counterparts even in deep surveys. We identify and investigate the nature of IFRSs using deep radio (S$_{\rm 1.4~GHz}$ $\sim$ 100 $\mu$Jy beam$^{-1}$ ...
--- abstract: 'Predicting the short-term power output of a photovoltaic panel is an important task for the efficient management of smart grids. Short-term forecasting at the minute scale, also known as *nowcasting*, can benefit from sky images captured by regular cameras and installed close to the solar panel. However,...
--- author: - | Christopher Snyder\ Department of Biomedical Engineering\ The University of Texas at Austin\ `22csnyder@gmail.com` - | **Sriram Vishwanath**\ Department of Electrical and Computer Engineering\ The University of Texas at Austin\ `sriram@austin.utexas.edu` bibliography: - '...
--- abstract: 'Baryons in the massive Nambu–Jona-Lasinio model in 1+1 dimensions (the massive chiral Gross-Neveu model) are studied in the limit of an infinite number of flavors. The baryon mass is evaluated for a wide range of bare fermion masses and filling fractions, combining analytical asymptotic expansions with a...
--- abstract: 'We study waves governed by the planar Helmholtz equation, propagating in an infinite lattice of subwavelength Dirichlet scatterers, the periodicity being comparable to the wavelength. Applying the method of matched asymptotic expansions, the scatterers are effectively replaced by asymptotic point constra...
--- abstract: 'We analyze the effects of the space-like penguin diagrams in two body B decays $B^-\to K^-{\bar K}^0$ and $B^-\to \pi^-{\bar K}^0$. Special attention is paid to the operator $Q_6$, whose contribution is large in the BSW model, but vanishes in the PQCD method in the approximation of neglecting the masses ...
--- abstract: 'We probe the higher-order galaxy clustering in the final data release (DR12) of the Sloan Digital Sky Survey Baryon Oscillation Spectroscopic Survey (BOSS) using germ-grain Minkowski Functionals (MFs). Our data selection contains $979,430$ BOSS galaxies from both the northern and southern galactic caps o...
--- abstract: 'In this paper, we investigate the impact of spatial coupling on the thresholds of turbo-like codes. Parallel concatenated and serially concatenated convolutional codes as well as braided convolutional codes (BCCs) are compared by means of an exact density evolution (DE) analysis for the binary erasure ch...
= =cmssi10 =cmbxti10 =cmr10 =cmti10 =cmmi8 =cmr8 =cmmi10 =cmr12 =cmti12 =cmr10 =cmmi12 =cmmi10 =cmbx10 scaled 1440 \#1[\#1]{} ===\#1[\#1]{} \#1 \#1 \#1[to 0pt[\#1]{}]{} =cmr10 scaled3 =cmbx10 =cmr10 =cmtt10 § = =1 =1 =1 2m[[cm\^[-2]{}]{}]{} cm[[cm\^[-3]{}]{}]{} 3[[gcm\^[-3]{}]{}]{} \#1[[^1][\#1]{}by 1]{} \#1 ---...
--- abstract: | The littlest Higgs model is the most economical little Higgs model. The observation of the new gauge bosons predicted by the littlest Higgs model could serve as a robust signature of the model. The ILC, with the high energy and luminosity, can open an ideal window to probe these new gauge bosons, sp...
--- abstract: 'We investigate the possibility that near future observations of ultra-high-energy cosmic rays (UHECRs) can unveil their local source distribution, which reflects the observed local structures if their origins are astrophysical objects. In order to discuss this possibility, we calculate the arrival distri...
--- author: - 'Noam Shomron[^1]' bibliography: - 'main.bib' title: 'Blocks of Lie Superalgebras of Type ${W}(n)$' --- part1 [^1]: The author was partially supported by TMR Grant ERB–FMRX–CT97–0100 during the summer of 2000.
--- author: - 'S. Temporin' - 'S. Ciroi' date: 'Received ??; accepted ??' title: | Optical observations of a newly identified compact galaxy group\ near the Zone of Avoidance[^1] --- Introduction ============ As it is well known, our view of the extragalactic space at low Galactic latitudes is obscured by a p...
--- abstract: 'This is a reproduction of my thesis \[35\]. By using higher K-theory(Chern character, cyclic homology, effacement theorem and etc), we provide an answer to a question by Green-Griffiths which says the tangent sequence to Bloch-Gersten-Quillen sequence is Cousin resolution.' address: | Mathematics Dep...
--- abstract: 'Korean-Chinese is a low resource language pair, but Korean and Chinese have a lot in common in terms of vocabulary. Sino-Korean words, which can be converted into corresponding Chinese characters, account for more then fifty of the entire Korean vocabulary. Motivated by this, we propose a simple linguist...
--- author: - Luca Levrino and Angelo Tartaglia title: From the elasticity theory to cosmology and vice versa --- [**From the elasticity theory to cosmology\ and vice versa**]{} [*Luca Levrino*[^1] and *Angelo Tartaglia*[^2]]{} Politecnico di Torino, Department of Applied Science and Technology\ Corso Duca degli Abr...
--- abstract: 'Stronger impurity density in-out poloidal asymmetries than predicted by the most comprehensive neoclassical models have been measured in several tokamaks around the world during the last decade, calling into question the reduction of turbulence by sheared radial electric fields in H-mode tokamak pedestal...
--- abstract: 'We study, numerically and analytically, linear and nonlinear waveguides induced by optical vortex solitons in a Kerr medium. Both fundamental and first-order guided modes are analyzed, as well as the cases of effectively defocusing and focusing nonlinearity.' address: - 'Department of Electrodynamics, Ch...
--- abstract: 'As it has already done for Earth, the sun, and the stars, seismology has the potential to radically change the way the interiors of giant planets are studied. In a sequence of events foreseen by only a few, observations of Saturn’s rings by the [*Cassini*]{}spacecraft have rapidly broken ground on giant ...
--- abstract: | In this survey we give a brief introduction to, and review the progress made in the last decade in understanding the geometry of the moduli spaces $\A_g$ of principally polarized abelian varieties and its compactifications, concentrating on results obtained over $\C$. This is an expanded and up...
--- abstract: 'We argue that elastic interactions between ions in different valence states can play an essential role in stabilization of stripes (or $2D$ “sheets”) in doped oxides. These interactions are in general long-range and anisotropic (attractive in certain directions and repulsive in others). This can naturall...
--- author: - Linhu Li Chao Yang Shu Chen title: 'Winding numbers of phase transition points for one-dimensional topological systems' --- Introduction ============ Due to the rapid progress in the study of topological insulators and superconductors[@review1; @review2], theoretical studies of topological phases and ph...
--- abstract: 'We prove that the crossed product $A\rtimes_\alpha G$ of a separable unital quasidiagonal C\*-algebra $A$ by a discrete countable amenable maximally almost periodic group $G$ is quasidiagonal, provided that the action $\alpha$ is almost periodic. This generalizes a result of Pimsner and Voiculescu.' addr...
--- abstract: 'We prove that the log canonical thresholds of a large class of binomial ideals, such as complete intersection binomial ideals and the defining ideals of space monomial curves, are computable by linear programming.' address: - 'Department of Mathematics, Rikkyo University/JST CREST, Nishi-Ikebukuro, Tokyo...
--- abstract: 'It is shown that the Principal Component Analysis applied to azimuthal single-particle distributions allows to perform flow analysis in ways that are analogous to the traditional approaches based on multi-particle correlations. In particular, symmetric cumulants are considered. It is demonstrated also th...
--- abstract: 'With the quantum diffusion approach the behavior of the capture cross-section is investigated in the reactions $^{92,94}$Mo + $^{92,94}$Mo, $^{100}$Ru + $^{100}$Ru, $^{104}$Pd + $^{104}$Pd, and $^{78}$Kr + $^{112}$Sn at deep sub-barrier energies which are lower than the ground state energies of the compo...
--- abstract: 'Millimeter-wave (mmwave) communication represents a potential solution to capacity shortage in vehicular networks. However, effective beam alignment between senders and receivers requires accurate knowledge of the vehicles’ position for fast beam steering, which is often impractical to obtain in real tim...
--- bibliography: - 'references.bib' --- Acknowledgements {#acknowledgements .unnumbered} ================ This research was supported in part by NSF CAREER Award 1553284 and The Defense Advanced Research Projects Agency (grant number YFA17 N66001-17-1-4039). The views, opinions, and/or findings contained in this art...
--- abstract: 'We demonstrate a 12 quantum dot device fabricated on an undoped Si/SiGe heterostructure as a proof-of-concept for a scalable, linear gate architecture for semiconductor quantum dots. The device consists of 9 quantum dots in a linear array and 3 single quantum dot charge sensors. We show reproducible sing...
--- author: - 'Karl-Heinz Kampert' title: 'THE CHEMICAL COMPOSITION OF COSMIC RAYS [^1]' --- Introduction ============ When being asked to formulate the most crucial, yet unanswered questions about [cr]{}s, one likely would end up with a list as such: 1. Where and what are the sources of high energy [ cr]{}s? 2. ...
#### Introduction. {#introduction. .unnumbered} Recently there has been considerable interest in two dimensional systems containing both electrons and holes in the presence of a strong magnetic field.[@kheng; @shields; @chen; @wojs1; @rashba; @palacios; @wojs2; @lerner] In such systems, neutral ($X^0$) and charged exc...
--- abstract: 'For a news content distribution platform like Dailyhunt[^1], Named Entity Recognition is a pivotal task for building better user recommendation and notification algorithms. Apart from identifying names, locations, organisations from the news for 13+ Indian languages and use them in algorithms, we also ne...
=1 [Some new results on Duffie-type OTC markets]{} BY ALAIN$\ $BÉLANGER$^{\ast}$[, ]{}GASTON GIROUX$^{\ast}$[ ]{}AND NDOUNÉ NDOUNÉ$^{\ast}$ *Université de Sherbrooke* Abstract: [The extended Wild sums considered in this article generalize the classical Wild sums of statistical physics. We first show how to obtain e...
--- abstract: | Let $B^{a,b}$ be a weighted fractional Brownian motion with indices $a,b$ satisfying $a>-1,-1<b<0,|b|<1+a$. In this paper, motivated by the asymptotic property $$E[(B^{a,b}_{s+\varepsilon}-B^{a,b}_s)^2] =O(\varepsilon^{1+b})\not\sim \varepsilon^{1+a+b}=E[(B^{a,b}_{\varepsilon})^2]\qquad (\varepsilon...
--- abstract: 'We show that every Galileon theory admits a dual formulation as a Galileon theory with new operator coefficients. In $n$ dimensions a free scalar field in Minkowski spacetime is dual to a $(n+1)$-th order Galileon theory which exhibits the Vainshtein mechanism when coupled to sources and superluminal pro...
--- abstract: 'A new version of the piecewise approximation (Pruess) method is developed for calculating eigenvalues of Sturm-Liouville problems. The usual piecewise constant or piecewise linear potential approximations are replaced by translates of $2/\cos ^2(x)$, whose corresponding eigenvalue equation has elementary...
--- abstract: 'The pedagogic two stste system of the ammonia molecule is used to illustrate the phenomenon of environment induced molecular localization in pyramidal molecules. A semiclassical model is used to describe a gas of pyramidal molecules interacting via hard ball collisions. This modifies the tunnelling dynam...
--- author: - | Ben Gripaios$^a$, Andreas Papaefstathiou$^b$ and Bryan Webber$^a$\ $^a$Cavendish Laboratory, J.J. Thomson Avenue, Cambridge, UK\ $^b$Institut für Theoretische Physik, Universität Zürich, Switzerland\ E-mail: , , bibliography: - 'QCDtasy.bib' title: 'Probing the Colour Structure of the To...
--- title: 'Detection of TeV emission from the intriguing composite SNR G327.1-1.1 ' --- Introduction ============ The survey of the Galactic plane conducted by the [H.E.S.S.]{} system of telescopes since 2004 has led to the discovery of TeV gamma-ray emission from more than 60 sources in the Galaxy [@gast11]. Althou...
--- abstract: | In this paper we study envy-free division problems. The classical approach to some of such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and finding sufficient conditions when this map hits the center of the simplex. The mere continuity is not sufficient...
--- abstract: 'We analyze a variety of basic properties of a new class of polynomials generalizing different classes of Hermite polynomials such as the real, Gould–Hopper, as well as the $1$-d and $2$-d holomorphic, ternary and polyanalytic complex Hermite polynomials. Mainly, we are interested in their operational rep...
--- abstract: 'We study on finite unramified extensions of global function fields (function fields of one valuable over a finite field). We show two results. One is an extension of Perret’s result about the ideal class group problem. Another is a construction of a geometric $\mathbb{Z}_p$-extension which has a certain ...
--- abstract: | For a compact abelian group $G$, a *corner* in $G \times G$ is a triple of points $(x,y)$, $(x,y+d)$, $(x+d,y)$. The classical [corners theorem]{} of Ajtai and Szemerédi implies that for every $\alpha > 0$, there is some $\delta > 0$ such that every subset $A \subset G \times G$ of density $\alpha$ ...
--- abstract: 'The ability to quantify complex relationships within multivariate time series is a key component of modelling many physical systems, from the climate to brains and other biophysical phenomena. Unfortunately, even testing the significance of simple dependence measures, such as Pearson correlation, is comp...
--- abstract: 'We introduce the univariate two–piece sinh–arcsinh distribution, which contains two shape parameters that separately control skewness and kurtosis. We show that this new model can capture higher levels of asymmetry than the original sinh–arcsinh distribution [@JP09], in terms of some asymmetry measures, ...
--- abstract: 'A non-local modified gravity model with an analytic function of the d’Alembert operator is considered. This model has been recently proposed as a possible way of resolving the singularities problem in cosmology. We present an exact bouncing solution, which is simpler compared to the already known one in ...
--- abstract: 'Deep generative models learn a mapping from a low-dimensional latent space to a high-dimensional data space. Under certain regularity conditions, these models parameterize nonlinear manifolds in the data space. In this paper, we investigate the Riemannian geometry of these generated manifolds. First, we ...
--- abstract: | Let $A$ be a commutative Banach algebra with non-empty character space $\Delta(A)$. In this paper, we give two notions of approximate identities for $A$. Indeed, we change the concepts of convergence and boundedness in the classical notion of bounded approximate identity. More precisely, a net $\{e_...
--- abstract: 'A new format for commutator-free Lie group methods is proposed based on explicit classical Runge-Kutta schemes. In this format exponentials are reused at every stage and the storage is required only for two quantities: the right hand side of the differential equation evaluated at a given Runge-Kutta stag...
--- author: - 'Mingliang Zhang, Ling-Yi Huang, Xu Zhang, and Gang Lu$^{*}$' date: 'July 17, 2016' title: | Supplemental Material for\ Comment on “Linear Scaling of the Exciton Binding Energy versus the Band Gap of Two-Dimensional Materials” --- quasi-2D static dielectric function ==============================...
--- abstract: 'Purification schemes for multi-particle entangled states cannot be treated as straightforward extensions of those for two particles because of the lack of symmetry they possess. We propose purification protocols for a wide range of mixed entangled states of many particles. These are useful for understand...
--- abstract: 'We study charge diffusion in holographic scaling theories with a particle-hole symmetry. We show that these theories have a universal regime in which the diffusion constant is given by $D_c = C v_B^2/ (2 \pi T)$ where $v_B$ is the velocity of the butterfly effect. The constant of proportionality, $C$, de...
--- author: - Sebastian Guttenberg bibliography: - 'Proposal.bib' - 'phd.bib' date: 'last modified January 4, ’08' title: Berkovits string in general background --- The pure spinor string in general background was first studied by Berkovits in [@Berkovits:2001ue]. The one-loop conformal invariance of the heterotic ver...
--- abstract: 'The present paper is devoted to the study of the diamond partial order in general $C^*$-algebras and the description of linear maps preserving this partial order.' address: - 'Campus de Jerez, Facultad de Ciencias Sociales y de la Comunicación Av. de la Universidad s/n, 11405 Jerez, Cádiz, Spain' - ' Dep...
--- abstract: 'Studying the electronic structure of defects in materials is an important subject in condensed matter physics. From a mathematical point of view, nonlinear mean-field models of localized defects in insulators are well understood. We present here a mean-field model to study a particular instance of extend...
--- author: - | Ralf Der$^1$ and Georg Martius$^{1,2}$\ [$^1$Max Planck Institute for Mathematics in the Science, Leipzig, Germany]{}\ [$^2$IST Austria, Klosterneuburg, Austria]{} title: A novel plasticity rule can explain the development of sensorimotor intelligence --- Introduction ============ Research...
--- abstract: 'Targeting autonomous driving without High-Definition maps, we present a model capable of generating multiple plausible paths from sensory inputs for autonomous vehicles. Our generative model comprises two neural networks, Feature Extraction Network (FEN) and Path Generation Network (PGN). FEN extracts me...
--- abstract: 'Heavy Quark Effective Theory splits a heavy quark momentum into a large fixed momentum and a variable residual momentum, $p_{\mu} = m_Q v_{\mu} + k_{\mu}$. It thereby suffers a redundancy of description corresponding to small changes in the choice of the fixed velocity, $v_{\mu}$. The fact that full QCD ...
--- abstract: 'Results are reported for single crystal specimens of Hf$_2$Te$_2$P and compared to its structural analogue Zr$_2$Te$_2$P, which was recently proposed to be a potential reservoir for Dirac physics.\[\] Both materials are produced using the iodine vapor phase transport method and the resulting crystals are...
--- abstract: 'We classify thick subcategories of the $\infty$-categories of perfect modules over ring spectra which arise as functions on even periodic derived stacks satisfying affineness and regularity conditions. For example, we show that the thick subcategories of perfect modules over ${\mathrm{TMF}}$ are in natur...
--- address: | Institut für Kernphysik, TU Darmstadt, Schlossgartenstr. 9\ D-64289 Darmstadt\ Germany author: - 'B.-J. SCHAEFER, O. BOHR AND J. WAMBACH' title: FLOW EQUATIONS AND THE CHIRAL PHASE TRANSITION --- =cmr8 1.5pt \#1\#2\#3\#4[[\#1]{} [**\#2**]{}, \#3 (\#4)]{} Introduction ============ The $N$...
--- abstract: 'We provide foundations for decisions in face of unlikely events by extending the standard framework of Savage to include preferences indexed by a family of events. We derive a subjective lexicographic expected utility representation which allows for infinitely many lexicographically ordered levels of eve...
--- abstract: 'The paramagnetic phase diagram of the Hubbard model with nearest-neighbor (NN) and next-nearest-neighbor (NNN) hopping on the Bethe lattice is computed at half-filling and in the weakly doped regime using the self-energy functional approach for dynamical mean-field theory. NNN hopping breaks the particle...
--- abstract: 'In order to improve the theoretical prediction of the electron anomalous magnetic moment $a_e$ we have carried out a new numerical evaluation of the 389 integrals of Set V, which represent 6,354 Feynman vertex diagrams without lepton loops. During this work, we found that one of the integrals, called $X0...
--- abstract: 'We discuss the boundary effect of anomaly-induced action in two-dimensional spacetime, which is ignored in previous studies. Anomaly-induced action, which gives the stress tensor with the same trace as the trace anomaly, can be represented in terms of local operators by introducing an auxiliary scalar fi...
--- abstract: 'The discovery of the top quark in 1995, by the CDF and DØ collaborations at the Fermilab Tevatron, marked the dawn of a new era in particle physics. Since then, enormous efforts have been made to study the properties of this remarkable particle, especially its mass and production cross section. In this a...
--- abstract: 'The one-loop QCD heavy quark potential is computed to order $v^2$ in the color singlet and octet channels. Several errors in the previous literature are corrected. To be consistent with the velocity power counting, the full dependence on $|{\bf p}+{\bf p''}|/|{\bf p''}-{\bf p}|$ is kept. The matching con...
--- abstract: 'In this note we give a new proof of the sharp constant $C = e^{-1/2} + \int_0^1 e^{-x^2/2}\,dx$ in the weak (1, 1) inequality for the dyadic square function. The proof makes use of two Bellman functions ${\mathbb{L}}$ and ${\mathbb{M}}$ related to the problem, and relies on certain relationships between ...
--- abstract: 'We prove that if $N\ge 2$ and $\alpha: F_N\to \pi_1(\Gamma)$ is a marking on $F_N$, then for any integer $r\ge 2$ and any $F_N$-invariant collection of non-negative integral “weights” associated to all subtrees $K$ of $\widetilde \Gamma$ of radius $\le r$ satisfying some natural “switch” conditions, ther...
--- author: - 'Manoel Manghi[^1]' - 'Roland R. Netz[^2]' date: 'Received: date / Revised version: date' title: Variational theory for a single polyelectrolyte chain revisited --- Introduction ============ Charged polymer chains, also called polyelectrolytes, have many industrial applications (flocculants, viscosifier...
--- abstract: | In this paper, we study the existence of least energy nodal solutions for some class of Kirchhoff type problems. Since Kirchhoff equation is a nonlocal one, the variational setting to look for sign-changing solutions is different from the local cases. By using constrained minimization on the sign-ch...
--- abstract: 'In this paper we propose a novel framework for learning local image descriptors in a discriminative manner. For this purpose we explore a siamese architecture of Deep Convolutional Neural Networks (CNN), with a Hinge embedding loss on the L$_2$ distance between descriptors. Since a siamese architecture u...
--- abstract: 'We discuss the observations and theory of star cluster formation to argue that clusters form dynamically cool (subvirial) and with substructure. We then perform an ensemble of simulations of cool, clumpy (fractal) clusters and show that they often dynamically mass segregate on timescales far shorter than...
--- abstract: 'In this article we establish the following Adams type inequality in the Hyperbolic space ${\mathbb{H}^{N}}$: $$\sup_{u \in C^{\infty}_c({\mathbb{H}^{N}}),\int\limits_{{\mathbb{H}^{N}}}(P_ku)u \ dv_g\leq 1} \int_{{\mathbb{H}^{N}}} (e^{\beta u^2} - 1) \ dv_g < \infty$$ iff $\beta \leq \beta_0(N,k)$ where, ...
--- abstract: 'This paper addresses the problem of under-determinded speech source separation from multichannel microphone singals, i.e. the convolutive mixtures of multiple sources. The time-domain signals are first transformed to the short-time Fourier transform (STFT) domain. To represent the room filters in the STF...
--- abstract: 'We complement our previous work [@hfsp] with the full (non diluted) solution describing the stable states of an attractor network that stores correlated patterns of activity. The new solution provides a good fit of simulations of a network storing the feature norms of McRae and colleagues [@McRae_norms],...
--- abstract: 'We prove that the solution-map $ u_0 \mapsto u $ associated with the KdV equation cannot be continuously extended in $ H^s(\R) $ for $ s<-1 $. The main ingredients are the well-known Kato smoothing effect for the mKdV equation as well as the Miura transform.' author: - | **Luc Molinet\ [*L.M.P.T....
--- abstract: 'A new obstacle detection algorithm for unmanned surface vehicles (USVs) is presented. A state-of-the-art graphical model for semantic segmentation is extended to incorporate boat pitch and roll measurements from the on-board inertial measurement unit (IMU), and a stereo verification algorithm that consol...
--- author: - 'Jesús A. De Loera, Sonja Petrović, Lily Silverstein, Despina Stasi, Dane Wilburne' bibliography: - 'randomMonomialIdeals.bib' title: 'Random Monomial Ideals[^1] ' --- [**Abstract:**]{} Inspired by the study of random graphs and simplicial complexes, and motivated by the need to understand average behavi...
--- abstract: 'We show that for an arbitrary Banach space $E$, the free Banach lattice $FBL[E]$ generated by $E$ satisfies the $\sigma$-bounded chain condition.' address: - 'Universidad de Murcia, Departamento de Matemáticas, Campus de Espinardo 30100 Murcia, Spain.' - 'Uniwersytet Wroc[ł]{}awski, Instytut Matematyczny...
--- author: - 'R.G.Petrov' - 'F.Millour' - 'O.Chesneau' - 'G.Weigelt' - 'D.Bonneau' - 'Ph.Stee' - 'S.Kraus' - 'D.Mourard' - 'A.Meilland' - 'M.Vannier' - 'F.Malbet' - 'F.Lisi' - 'P.Antonelli and P.Kern' - 'U.Beckmann' - 'S.Lagarde' - 'K.Perraut' - 'S.Gennari' - 'E.Lecoarer' - 'Th.Driebe' - 'M.Accardo' - 'S.Robbe-Dubois'...
--- abstract: 'Magnetic flux noise is a dominant source of dephasing and energy relaxation in superconducting qubits. The noise power spectral density varies with frequency as $1/f^\alpha$ with $\alpha \lsim 1$ and spans 13 orders of magnitude. Recent work indicates that the noise is from unpaired magnetic defects on t...