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--- abstract: 'In this work a classical derivation of fractional order circuits models is presented. Generalized constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell’s equations. Next the Kirchhoff voltage law is applied in a RCL circuit configuration. A fractional d...
--- author: - | Samet E. Arda$^1$, Anish NK$^1$, A. Alper Goksoy$^1$, Joshua Mack$^2$, Nirmal Kumbhare$^2$,\ Anderson L. Sartor$^3$, Ali Akoglu$^2$, Radu Marculescu$^3$ and Umit Y. Ogras$^1$\ bibliography: - 'references/references.bib' title: ' Work-in-Progress: A Simulation Framework for Domain-Specific System...
--- abstract: 'Deep Neural Networks (DNNs) have been widely applied in many autonomous systems such as autonomous driving and robotics for their state-of-the-art, even human-competitive accuracy in cognitive computing tasks. Recently, DNN testing has been intensively studied to automatically generate adversarial exampl...
[**The 5’-3’ distance of RNA secondary structures**]{}\ Hillary S. W. Han and Christian M. Reidys$^{\,\star}$ Institut for Matematik og Datalogi\ University of Southern Denmark\ Denmark\ Phone: \*45-24409251\ Fax: \*45-65502325\ email: duck@santafe.edu **Abstract** Recently Yoffe [*et al.*]{} observed that the avera...
--- abstract: 'We present an improved clustering based, unsupervised anomalous trajectory detection algorithm for crowded scenes. The proposed work is based on four major steps, namely, extraction of trajectories from crowded scene video, extraction of several features from these trajectories, independent mean-shift cl...
--- abstract: | In analogy with the vector bundle theory we define universal and strongly universal Lefschetz fibrations over bounded surfaces. After giving a characterization of these fibrations we construct very special strongly universal Lefschetz fibrations when the fiber is the torus or an orientable surface w...
--- abstract: | This article deals with the study of the following nonlinear doubly nonlocal equation: $$(-\Delta)^{s_1}_{p}u+{\beta}(-\Delta)^{s_2}_{q}u = {\lambda}a(x)|u|^{\delta-2}u+ b(x)|u|^{r-2} u,\; \text{ in }\; {\Omega}, \; u=0 \text{ on } \mathbb{R}^n\setminus {\Omega},$$ where ${\Omega}$ is a bounded do...
= 5mm 6 in 9 in -27 pt **Noncommutative deformation and essence of a postulate of isotropy Iliusin** *Trinh V.K.* *Department of physics of polymer and crystal, MGU* 1\. We shall consider non-uniform continuous environment. It is known, that under influence limiting force this environment will pass in a plastic sta...
--- abstract: 'Anatomy is undergoing a renaissance driven by availability of large digital data sets generated by light microscopy. A central computational task is to map individual data volumes to standardized templates. This is accomplished by regularized estimation of a diffeomorphic transformation between the coord...
--- abstract: 'The integration of machine learning methods and Model Predictive Control (MPC) has received increasing attention in recent years. In general, learning-based predictive control (LPC) is promising to build data-driven models and solve the online optimization problem with lower computational costs. However,...
--- abstract: 'We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The later is described by a spin model which exhibits the main properties of the Kerr medium, and whose main feature is that it possesses a maximum numbe...
--- abstract: 'We study a recently proposed nonlinear evolution equation describing the collective step meander on a vicinal surface subject to the Bales-Zangwill growth instability \[O. Pierre-Louis [*et al.*]{}, Phys. Rev. Lett. [**80**]{}, 4221 (1998)\]. A careful numerical analysis shows that the dynamically select...
--- abstract: | This paper studies the problem of constructing codes correcting deletions in arrays. Under this model, it is assumed that an $n\times n$ array can experience deletions of rows and columns. These deletion errors are referred to as *$(\tr,\tc)$-criss-cross deletions* if $\tr$ rows and $\tc$ columns ar...
--- abstract: 'Loop Quantum Gravity is a background independent, nonperturbative approach to the quantization of General Relativity. Its application to models of interest in cosmology and astrophysics, known as Loop Quantum Cosmology, has led to new and exciting views of the gravitational phenomena that took place in t...
--- abstract: 'Solomonoff’s uncomputable universal prediction scheme $\xi$ allows to predict the next symbol $x_k$ of a sequence $x_1...x_{k-1}$ for any Turing computable, but otherwise unknown, probabilistic environment $\mu$. This scheme will be generalized to arbitrary environmental classes, which, among others, all...
--- abstract: | We calculate the expected nHz–$\mu$Hz gravitational wave (GW) spectrum from coalescing Massive Black Hole (MBH) binaries resulting from mergers of their host galaxies. We consider detection of this spectrum by precision pulsar timing and a future Pulsar Timing Array. The spectrum depends on the merg...
--- abstract: 'We report the first measurements of the dynamics of liquid germanium ([*l-*]{}Ge) by quasi-elastic neutron scattering on time-of-flight and triple-axis spectrometers. These results are compared with simulation data of the structure and dynamics of [*l-*]{}Ge which have been obtained with [*ab initio*]{} ...
--- abstract: 'Optical responses of graphene in the presence of intense circularly and linearly polarized terahertz fields are investigated based on the Floquet theory. We examine the energy spectrum and density of states. It is found that gaps open in the quasi-energy spectrum due to the single-photon/multi-photon res...
--- abstract: 'The visual surface brightness of K/M giants and dwarfs with near-solar metallicity differ slightly in agreement with the gravity effects predicted by recent theoretical models. We show that M-dwarfs display also a metallicity dependence of the surface brightness in the infrared $K$-band in agreement with...
--- abstract: 'We develop a quantum theory of the nonlinear interaction between intense surface acoustic waves and electrons of a quantum well in the regime of moving quantum wires and dots. The quantum nonlinear interaction qualitatively differs from the classical one. In a system of electron wires driven by an acoust...
--- abstract: 'The recent discovery of magnetic van der Waals materials has triggered a wealth of investigations in materials science, and now offers genuinely new prospects for both fundamental and applied research. Although the catalogue of van der Waals ferromagnets is rapidly expanding, most of them have a Curie te...
--- abstract: 'We present a multi-wavelength study of NGC 4330, a highly-inclined spiral galaxy in the Virgo Cluster which is a clear example of strong, ongoing ICM-ISM ram pressure stripping. The HI has been removed from well within the undisturbed old stellar disk, to 50% - 65% of R$_{25}$. Multi-wavelength data (WIY...
--- abstract: 'The $S_{E1}$ factor of radiative $\alpha$ capture on $^{12}$C is studied in effective field theory. We briefly discuss the strategy for the calculation of the reaction and report a first result of $S_{E1}$ at the Gamow-peak energy, $E_G=0.3$ MeV.' author: - 'Shung-Ichi Ando' title: ' The $S_{E1}$ factor ...
--- author: - | Alain Albouy$^{1,2}$,Yanning Fu$^{1}$\ \ $^{1}$ Purple Mountain Observatory\ Chinese Academy of Sciences\ 2 West Beijing road, Nanjing 210008, China\ $^{2}$ CNRS-UMR8028, IMCCE\ Observatoire de Paris\ 77 avenue Denfert-Rochereau, 75014 Paris, France\ albouy@imcce.fr, ...
--- abstract: 'We prove that the complexity of the uniform first-order theory of ground tree rewrite graphs is in $\ATIME(2^{2^{\poly(n)}},O(n))$. Providing a matching lower bound, we show that there is some fixed ground tree rewrite graph whose first-order theory is hard for $\ATIME(2^{2^{\poly(n)}},\poly(n))$ with re...
--- abstract: 'The Constant Elasticity of Variance (CEV) model significantly outperforms the Black-Scholes (BS) model in forecasting both prices and options. Furthermore, the CEV model has a marked advantage in capturing basic empirical regularities such as: heteroscedasticity, the leverage effect, and the volatility s...
--- abstract: 'We define a new complete sample of 13 optically-luminous radio quasars (M$_{AB}$(1450Å)$< -26\fmag9$ and $\log P_{1.4 GHz}$(WHz$^{-1}$) $>$ 25.7) with redshift $3.8 < z < 4.5$, obtained by cross-correlating the FIRST radio survey and the APM catalogue of POSS-I. We measure the space density to be (1.0 $\...
--- abstract: 'The accuracy of some density functional (DF) models, widely used in material science, depends on empirical or free parameters which are commonly tuned using reference physical properties. The optimal value of the free parameters is regularly found using grid search algorithms, which computational complex...
--- abstract: 'A Dirichlet $k$-partition of a closed $d$-dimensional surface is a collection of $k$ pairwise disjoint open subsets such that the sum of their first Laplace-Beltrami-Dirichlet eigenvalues is minimal. In this paper, we develop a simple and efficient diffusion generated method to compute Dirichlet $k$-part...
--- abstract: 'We study the interaction of surface acoustic waves with spin waves in ultra-thin CoFeB/Pt bilayers. Due to the interfacial Dzyaloshinskii-Moriya interaction (DMI), the spin wave dispersion is non-degenerate for oppositely propagating spin waves in CoFeB/Pt. In combination with the additional nonreciproci...
--- abstract: 'We prove that if ${\mathcal{A}}$ is a $\lam$-presentable category and $T : {\mathcal{A}}\to {\mathcal{A}}$ is a $\lam$-accessible functor then $T/{\mathcal{A}}$ is $\lam$-presentable.' author: - Patricia Johann and Andrew Polonsky date: 'July 4, 2018' title: 'On the Local Presentability of $T/{\mathcal{A...
--- abstract: | Given a Lévy process $\xi$ we ask for necessary and sufficient conditions for almost sure finiteness of the perpetual integral $\int_0^\infty f(\xi_s)ds$, where $f$ is a positive locally integrable function. If $\mu={\mathbb{E}}[\xi_1]\in (0,\infty)$ and $\xi$ has local times we prove the 0-1 law $$...
--- author: - 'P. D’Avanzo' - 'T. Muñoz-Darias' - 'J. Casares' - 'I. G. Martínez-Pais' - 'S. Campana' date: 'Received; accepted' title: 'A search for evidence of irradiation in Centaurus X-4 during quiescence[^1]' --- Introduction ============ Soft X-Ray Transients (SXRTs), a subclass of Low Mass X-Ray Binaries, are ...
--- abstract: | \(I) We prove that the (maximum) number of monotone paths in a geometric triangulation of $n$ points in the plane is $O(1.7864^n)$. This improves an earlier upper bound of $O(1.8393^n)$; the current best lower bound is $\Omega(1.7003^n)$. \(II) Given a planar geometric graph $G$ with $n$ vertic...
--- abstract: 'In this paper a new functional integral representation for classical dynamics is introduced. It is achieved by rewriting the Liouville picture in terms of bosonic creation-annihilation operators and utilizing the standard derivation of functional integrals for dynamical quantities in the coherent states ...
--- abstract: 'Let $X \hookrightarrow \mathbb{P}^r$ be a smooth projective variety defined by homogeneous polynomials of degree $\leq d$. We give explicit upper bounds on the order of the torsion subgroup $(\operatorname{NS}X)_{{\mathrm{tor}}}$ of the Néron–Severi group of $X$. The bounds are derived from an explicit u...
--- abstract: 'Networks are abundant in biological systems. Small sized over-represented network motifs have been discovered, and it has been suggested that these constitute functional building blocks. We ask whether larger dynamical network motifs exist in biological networks, thus contributing to the higher-order org...
--- address: | CERN, CH-1211 Geneva 23, Switzerland\ E-mail: stefan.soldner-rembold@cern.ch author: - 'STEFAN SÖLDNER-REMBOLD' title: 'PHOTON STRUCTURE[^1]' --- =cmr8 1.5pt \#1\#2\#3\#4[[\#1]{} [**\#2**]{}, \#3 (\#4)]{} Photon structure ? ================== The photon is one of the fundamental gauge bosons...
--- abstract: | High-performance computing has recently seen a surge of interest in heterogeneous systems, with an emphasis on modern Graphics Processing Units (GPUs). These devices offer tremendous potential for performance and efficiency in important large-scale applications of computational science. However, exp...
--- abstract: 'We outline the design for a photonic crystal resonator made in a hybrid Silicon/Lithium Niobate material system. Using the index contrast between silicon and lithium niobate, it is possible to guide and confine photonic resonances in a thin film of silicon bonded on top of lithium niobate. Quality factor...
--- abstract: 'We present simulations of static model sandpiles in two dimensions (2D) and focus on the stress distribution in such arrays made of discrete particles. We use the simplest possible model, i.e. spherical particles with a linear spring and a linear dashpot active on contact and without any frictional force...
--- abstract: 'We report the effects of anisotropy in the confining potential on two component Bose-Einstein condensates (TBECs) through the properties of the low energy quasiparticle excitations. Starting from generalized Gross Pitaevskii equation, we obtain the Bogoliubov de-Gennes (BdG) equation for TBECs using the ...
--- bibliography: - 'C:/Users/nslavov/Documents/B/texmf/bibtex/bib/Pquant.bib' - 'C:/Users/nslavov/Documents/B/texmf/bibtex/bib/people/my.bib' - 'C:/Users/nslavov/Documents/B/texmf/bibtex/bib/grr.bib' - 'C:/Users/nslavov/Documents/B/texmf/bibtex/bib/PTMs.bib' - 'C:/Users/nslavov/Documents/B/texmf/bibtex/bib/aerobic\_gl...
--- abstract: 'In this paper the output feedback energy control problem for the sine-Gordon model is studied. An observer for the sine-Gordon equation and a speed-gradient boundary control law for solving this problem are analysed. Explicit inequalities on system’s parameters ensuring the exponential decay of the estim...
--- abstract: '[System I]{}is a proof language for a fragment of propositional logic where isomorphic propositions, such as $A\wedge B$ and $B\wedge A$, or $A\Rightarrow(B\wedge C)$ and $(A\Rightarrow B)\wedge(A\Rightarrow C)$ are made equal. [System I]{}enjoys the strong normalization property. This is sufficient to p...
=10000 =10000 =10000 6.4in 3.0cm [T. Bhanja$^{(a)}$, D. Shukla$^{(a)}$, R. P. Malik$^{(a,b)}$]{}\ $^{(a)}$ [*Physics Department, Centre of Advanced Studies,*]{}\ [*Banaras Hindu University, Varanasi - 221 005, (U.P.), India*]{}\ 0.1cm [**and**]{}\ 0.1cm $^{(b)}$ [*DST Centre for Interdisciplinary Mathematical Scien...
--- abstract: 'Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times{\mathbb{R}}^+$ structure on the generalised tangent space. To leading order in the fermion fields, this allow one to rewrite the act...
--- abstract: 'A semiclassical theory of linear response in finite Fermi systems, based on the Vlasov equation, and its applications to the study of isoscalar vibrations in heavy nuclei are reviewed. It is argued that the Vlasov equation can be used to study the response of small quantum systems like (heavy) nuclei in ...
--- abstract: 'Recently, the authors and de Wolff introduced the imaginary projection of a polynomial $f\in{\mathbb{C}}[\mathbf{z}]$ as the projection of the variety of $f$ onto its imaginary part, $\mathcal{I}(f) \ = \ \{\operatorname{Im}(\mathbf{z}) \, : \, \mathbf{z} \in \mathcal{V}(f) \}$. Since a polynomial $f$ is...
--- abstract: 'We show that the classification performance of Graph Convolutional Networks is related to the alignment between features, graph and ground truth, which we quantify using a subspace alignment measure corresponding to the Frobenius norm of the matrix of pairwise chordal distances between three subspaces as...
--- abstract: 'We give elementary proof of stronger versions of several recent results on intrinsic Diophantine approximation on rational quadric hypersurfaces $X\subset {\mathbb{P}}^n({\mathbb{R}})$. The main tool is a refinement of the simplex lemma, which essentially says that rational points on $X$ which are suffic...
--- abstract: 'In order to investigate distributed quantum computation under restricted network resources, we introduce a quantum computation task over the butterfly network where both quantum and classical communications are limited. We consider deterministically performing a two-qubit global unitary operation on two ...
--- bibliography: - 'main.bib' title: '**Detecting Point Outliers Using Prune-based Outlier Factor (PLOF)**' --- **** Outlier detection (also known as anomaly detection or deviation detection) is a process of detecting data points in which their patterns deviate significantly from others. It is common to have outliers...
--- abstract: 'We report the experimental realization of a synthetic three-leg Hall tube with ultracold fermionic atoms in a one-dimensional optical lattice. The legs of the synthetic tube are composed of three hyperfine spin states of the atoms, and the cyclic inter-leg links are generated by two-photon Raman transiti...
--- abstract: 'We present a simple, robust mechanism by which an isolated star can produce an equatorial disk. The mechanism requires that the star have a simple dipole magnetic field on the surface and an isotropic wind acceleration mechanism. The wind couples to the field, stretching it until the field lines become m...
--- abstract: 'We present a semi-supervised way of training a character-based encoder-decoder recurrent neural network for morphological reinflection, the task of generating one inflected word form from another. This is achieved by using unlabeled tokens or random strings as training data for an autoencoding task, adap...
--- abstract: 'Neural processing systems typically represent data using neuron models that generate spikes or pulse trains at a rate proportional to their input amplitudes. This mechanism requires high firing rates when encoding time-varying signals, leading to increased power consumption. Neuromorphic systems that use...
--- abstract: 'We consider two mean-field like models which belong to the universality class of absorbing phase transitions with a conserved field. In both cases we derive analytically the order parameter as function of the control parameter and of an external field conjugated to the order parameter. This allows us to ...
--- abstract: 'We prove analogues of Ramanujan’s Master theorem for the radial sections of the line bundles over the Poincaré upper half plane $\mathrm{SL}(2, {\mathbb R})/\mathrm{SO}(2)$ and over the complex hyperbolic spaces $\mathrm {SU}(1, n)/ S(\mathrm{U}(1) \times \mathrm{U}(n))$.' address: - 'Department of Mathe...
--- abstract: 'With the ever-increasing popularity of resource-intensive mobile applications, Mobile Edge Computing (MEC), e.g., offloading computationally expensive tasks to the cellular edge, has become a prominent technology for the next generation wireless networks. Despite its great performance in terms of delay a...
--- abstract: | In an effort to probe the extent of variations in the interstellar $^7$Li/$^6$Li ratio seen previously, ultra-high-resolution (R $\sim$ 360,000), high signal-to-noise spectra of stars in the Perseus OB2 and Scorpius OB2 Associations were obtained. These measurements confirm our earlier findings of a...
--- abstract: '[*Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and crack growth under displacement boundary condition is investigat...
--- abstract: 'We propose a new image denoising algorithm when the data is contaminated by a Poisson noise. As in the Non-Local Means filter, the proposed algorithm is based on a weighted linear combination of the observed image. But in contract to the latter where the weights are defined by a Gaussian kernel, we propo...
--- abstract: 'The hard X-ray bursts observed during both major outbursts of the Bursting Pulsar (GRO J1744$-$28) show pulsations near the neutron star spin frequency with an enhanced amplitude relative to that of the persistent emission. Consistent with previous work, we find that the pulsations within bursts lag behi...
--- author: - 'J. Kluska' - 'F. Malbet' - 'J.-P. Berger' - 'F. Baron' - 'B. Lazareff' - 'J.-B. Le Bouquin' - 'J. D. Monnier' - 'F. Soulez' - 'E. Thiébaut' bibliography: - 'biblio.bib' date: 'Received 28 October 2013, accepted 11 March 2014' subtitle: Application to young stellar objects title: 'SPARCO : a semi-paramet...
--- abstract: 'A large class of mesoscopic or macroscopic flocking theories are coarse grained from microscopic models that feature binary interactions as the chief aligning mechanism. However while such theories seemingly predict the existence of polar order with just binary interactions, actomyosin motility assay exp...
--- abstract: 'We determine the general conditions for the existence of Gödel, Einstein static, and de Sitter universes in gravity theories derived from a Lagrangian that is an arbitrary function of the scalar curvature and Ricci and Riemann curvature invariants. Explicit expressions for the solutions are found in term...
--- abstract: 'Proliferation of touch-based devices has made sketch-based image retrieval practical. While many methods exist for sketch-based object detection/image retrieval on small datasets, relatively less work has been done on large (web)-scale image retrieval. In this paper, we present an efficient approach for ...
--- abstract: | Image compositing is a key step in film making and image editing that aims to segment a foreground object and combine it with a new background. Automatic image compositing can be done easily in a studio using chroma-keying when the background is pure blue or green. However, image compositing in natu...
--- abstract: 'The dwarf satellite galaxies of the Milky Way Crater II and Antlia II have uncommonly low dynamical mass densities, due to their large size and low velocity dispersion. Previous work have failed to identify formation scenarios within the $\Lambda$CDM framework and have invoked cored dark matter haloes, p...
--- abstract: | We study the design of [*local algorithms*]{} for massive graphs. A local algorithm is one that finds a solution containing or near a given vertex without looking at the whole graph. We present a local clustering algorithm. Our algorithm finds a good cluster—a subset of vertices whose internal conne...
--- abstract: 'The hydrodynamic operation of the ‘Forest Flyer’ type of explosive launching system for shock physics projectiles was investigated in detail using one- and two-dimensional continuum dynamics simulations. The simulations were numerically converged and insensitive to uncertainties in the material propertie...
--- abstract: 'The purpose of this article is to illustrate the dynamical concept of [*homomesy*]{} in three kinds of dynamical systems – combinatorial, piecewise-linear, and birational – and to show the relationship between these three settings. In particular, we show how the rowmotion and promotion operations of Stri...
--- abstract: 'We present and analyze a simple, two-step algorithm to approximate the optimal solution of the sparse PCA problem. Our approach first solves an $\ell_{1}$-penalized version of the NP-hard sparse PCA optimization problem and then uses a randomized rounding strategy to sparsify the resulting dense solution...
--- abstract: | Given a simple graph $G$, a dominating set in $G$ is a set of vertices $S$ such that every vertex not in $S$ has a neighbor in $S$. Denote the domination number, which is the size of any minimum dominating set of $G$, by $\gamma(G)$. For any integer $k\ge 1$, a function $f : V (G) \rightarrow \{0, 1...
--- author: - 'A. O. Lopes, J. K. Mengue, J. Mohr and R. R. Souza' title: 'Entropy, Pressure and Duality for Gibbs plans in Ergodic Transport' --- Instituto de Matemática, UFRGS - Porto Alegre, Brasil Let $X$ be a finite set and $\Omega=\{1,...,d\}^{\mathbb{N}}$ be the Bernoulli space. Denote by $\sigma$ the shift ma...
--- abstract: 'The world’s collective knowledge is evolving through research and new scientific discoveries. It is becoming increasingly difficult to objectively rank the impact research institutes have on global advancements. However, since the funding, governmental support, staff and students quality all mirror the p...
--- author: - 'Dai [Aoki]{}$^1$[^1], Carley [Paulsen]{}$^2$, Tatsuma D. [Matsuda]{}$^{1,3}$, Liam [Malone]{}$^4$, Georg [Knebel]{}$^1$, Pierre [Haen]{}$^2$, Pascal [Lejay]{}$^2$, Rikio [Settai]{}$^5$, Yoshichika [Ōnuki]{}$^5$, and Jacques [Flouquet]{}$^1$[^2]' title: 'Pressure Evolution of the Magnetic Field induced Fe...
--- abstract: 'Contributions from the reaction $e^+e^- \to \pi^+\pi^- e^+e^-$ to the pion form factor measurement via radiative return method are discussed basing on the results of a Monte Carlo generator (EKHARA). The generator contains contributions from the initial and final state emission of a $e^+e^-$ pair from $e...
--- abstract: 'The $^3$H(d,n)$^4$He reaction has a large low-energy cross section and will likely be utilized in future commercial fusion reactors. This reaction also takes place during big bang nucleosynthesis. Studies of both scenarios require accurate and precise fusion rates. To this end, we implement a one-level, ...
--- abstract: 'The efficient and reliable characterization of quantum states plays a vital role in most, if not all, quantum information processing tasks. In this work, we present a universally optimal protocol for verifying entangled states by employing the so-called quantum non-demolition measurements, such that the ...
--- author: - 'H.M. Earnshaw[^1]' title: 'An Intermediate-Mass Black Hole candidate in M51?' --- Introduction ============ Ultra-luminous X-ray sources (ULXs) are non-nuclear point sources with X-ray luminosity $L_{\rm X}>10^{39}$ergs$^{-1}$, the Eddington luminosity for black holes (BHs) of typical mass $\sim10$M$_{...
--- abstract: | The physics of compact objects is one of the very actively developing branches of theoretical investigations, since the careful analysis of different models for the internal structure of these objects, their evolutionary characteristics and the comparison with modern observational data give access t...
--- abstract: 'Randomisation and time-sharing are some of the oldest methods to achieve fairness. I make a case that applying these approaches to social choice settings constitutes a powerful paradigm that deserves an extensive and thorough examination. I discuss challenges and opportunities in applying these approache...
--- abstract: 'We theoretically derive the polarization-resolved intensity distribution of a $TM$-polarized fundamental Gaussian beam reflected by an air-glass plane interface at Brewster incidence. The reflected beam has both a dominant ($TM$) and a cross-polarized ($TE$) component, carried by a $\text{TEM}_{10}$ and ...
--- abstract: 'The self-similarity hypothesis claims that in classical general relativity, spherically symmetric solutions may naturally evolve to a self-similar form in certain circumstances. In this context, the validity of the corresponding hypothesis in nonspherical geometry is very interesting as there may exist g...
--- abstract: 'We consider direct modeling of underlying stock value movement sequences over time in the news-driven stock movement prediction. A recurrent state transition model is constructed, which better captures a gradual process of stock movement continuously by modeling the correlation between past and future pr...
--- abstract: 'We develop the Hamiltonian theory of axial perturbations around a general time-dependent spherical background spacetime. Using the fact that the linearized constraints are gauge generators, we isolate the physical and unconstrained axial gravitational wave in a Hamiltonian pair of variables. Then, switch...
--- abstract: 'Time-delayed differential equations arise frequently in the study of nonlinear dynamics of lasers with optical feedback. Traditionally, one has resorted to numerical methods because the analytical solution of such equations are intractable. In this manuscript, we show that under some conditions, the rate...
--- abstract: 'Narrow spectral features in the 5–6 keV range were recently discovered in the X-ray spectra of a few active galactic nuclei. We discuss the possibility that these features are due to localized spots which occur on the surface of an accretion disc following its illumination by flares. We present detailed ...
--- abstract: 'GK Persei is an intermediate polar that exhibits a dwarf nova outburst approximately every 1000 days. During previous outbursts the system has displayed kilo-second quasi-periodic oscillations (QPOs) in X-ray emission. These oscillations are unique in that they are an order of magnitude longer than QPOs ...
--- abstract: 'In this paper we prove a Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces. Roughly speaking, our result says that under a harmonic mapping between the unit balls in real Euclidean spaces, the image of a smaller ball centered at origin can be controlled. This extends the...
--- abstract: 'Randomized approximation algorithms for many \#P-complete problems (such as the partition function of a Gibbs distribution, the volume of a convex body, the permanent of a $\{0,1\}$-matrix, and many others) reduce to creating random variables $X_1,X_2,\ldots$ with finite mean $\mu$ and standard deviation...
--- abstract: 'We study spherical tetrahedra with rational dihedral angles and rational volumes. Such tetrahedra occur in the Rational Simplex Conjecture by Cheeger and Simons, and we supply vast families, discovered by computational efforts, of positive examples that confirm this conjecture. As a by-product, we also o...
--- abstract: 'A covariant field theoretical approach to deep inelastic scattering on the deuteron is presented. The deuteron structure function is calculated in terms of the Bethe-Salpeter amplitude. Numerical calculations for the nucleon contribution are made with a realistic model of the $NN$-interaction, including ...
--- abstract: 'We consider inflation within a model framework where the Higgs boson arises as a pseudo-Goldstone boson associated with the breaking of a global symmetry at a scale significantly larger than the electroweak one. We show that in such a model the scalar self-couplings can be parametrically suppressed and, ...
--- abstract: '[Higher order nonclassical properties of fields propagating through a codirectional asymmetric nonlinear optical coupler which is prepared by combining a linear wave guide and a nonlinear (quadratic) wave guide operated by second harmonic generation are studied. A completely quantum mechanical descriptio...
--- abstract: 'Links are established between properties of the fibers of a flat, essentially of finite type homomorphism of commutative rings $\sigma\colon K\to S$, and the structure of the graded $S$-module $\operatorname{Ext}_{S\otimes_KS}(S,{S\otimes_KS})$. It is proved that this module is invertible if and only if ...
--- abstract: 'We investigate the basis-set convergence of electronic correlation energies calculated using coupled cluster theory and a recently proposed finite basis-set correction technique. The correction is applied to atomic and molecular systems and is based on a diagrammatically decomposed coupled cluster single...
--- abstract: 'We show that the ideal generated by maximal minors (i.e., $k+1$-minors) of a $(k+1) \times n$ Vandermonde matrix is radical and Cohen-Macaulay. Note that this ideal is generated by all Specht polynomials with shape $(n-k,1, \ldots,1)$.' address: - 'Department of Mathematics, Tokai University, Hiratsuka,,...