Miracle-dz/UniFAR-FTUs huggingface dataset:
Asymptotic expansions and extremals for the critical Sobolev and Gagliardo–Nirenberg inequalities on a torus

We present a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals, best constants, various remainder terms, etc. Most attention is paid to the critical (logarithmic) Sobolev inequality in the two-dimensional case, although a number of results concerning the best constants in the algebraic case and different space dimensions are also obtained.
Robust and optimal control

This paper will very briefly review the history of the relationship between modern optimal control and robust control. The latter is commonly viewed as having arisen in reaction to certain perceived inadequacies of the former. More recently, the distinction has effectively disappeared. Once-controversial notions of robust control have become thoroughly mainstream, and optimal control methods permeate robust control theory. This has been especially true in H-infinity theory, the primary focus of this paper.
Node Localization in Wireless Sensor Networks using Dynamic Genetic Algorithm

A wireless sensor network is a collection of nodes organized in a cooperative environment. Node localization plays a vital role in many applications. Conventional location detection techniques such as global positioning system (GPS) and infrared are expensive to find the location node. This paper proposes the use of a genetic algorithm (GA) to learn the environment impairments within a wireless sensor network with the purpose of localization for data management. Hence, in this paper, we have presented an efficient and dynamic Genetic algorithm with help of receiving signal strength indicator (RSSI) which gives the optimal node location value with minimal localization error. Our simulation modeled in MATLAB 7.0 shows that the dynamic GA can achieve acceptable node location detection with the aid of three anchors. The simulation results represent th
Stable rank three vector bundles without theta divisors over bielliptic curves

Raynaud has shown that over a general curve of genus $g \ge 2$, every semistable bundle of rank three and integral slope admits a theta divisor. We show that this can fail for special curves: Over any bielliptic curve of genus $g \ge 5$, we construct a stable rank three bundle of trivial determinant with no theta divisor. This gives a partial answer to a question of Beauville.
A gradient estimate for nonlocal minimal graphs

We consider the class of measurable functions defined in all of $\mathbb{R}^n$ that give rise to a nonlocal minimal graph over a ball of $\mathbb{R}^n$. We establish that the gradient of any such function is bounded in the interior of the ball by a power of its oscillation. This estimate, together with previously known results, leads to the $C^\infty$ regularity of the function in the ball. While the smoothness of nonlocal minimal graphs was known for $n = 1, 2$ (but without a quantitative bound), in higher dimensions only their continuity had been established. To prove the gradient bound, we show that the normal to a nonlocal minimal graph is a supersolution of a truncated fractional Jacobi operator, for which we prove a weak Harnack inequality. To this end, we establish a new universal fractional Sobolev inequality on nonlocal minimal surfaces. Our estimate provides an extension to the fractional setting of the celebrated gradient bounds of Finn and of Bombieri, De Giorgi & Miranda for solutions of the classical mean curvature equation.
On Algebraic condition for null controllability of some coupled degenerate systems

In this paper we will generalize the Kalman rank condition for the null controllability to $n$-coupled linear degenerate parabolic systems with constant coefficients, diagonalizable diffusion matrix, and $m$-controls. For that we prove a global Carleman estimate of the solution of a scalar $2n$-order equation then we infer from it an observability inequality for the corresponding adjoint system, and thus the null controllability.
Exponential concentration inequalities for additive functionals of Markov chains

Using the renewal approach we prove exponential inequalities for additive functionals and empirical processes of ergodic Markov chains, thus obtaining counterparts of inequalities for sums of independent random variables. The inequalities do not require functions of the chain to be bounded and moreover have all the constants accessible whenever the usual drift condition holds, which is crucial for practical applications e.g. in MCMC algorithms. AMS 2000 subject classifications : Primary 60E15, 60J20, secondary 60K05, 65C05
Correlation between the Magnetoresistance, IR Magnetoreflectance, and Spin-Dependent Characteristics of Multilayer Magnetic Films

We present the experimental results on magnetorefractive effect (MRE) in ferromagnetic metal-metal and metal-insulator multilayer films of different composition and different type of magnetoresistive effects. The shape and magnitude of the MRE dependences are found to be very sensitive to the spin-dependent scattering parameters and the effective polarization of the electron density of state around the Fermi level. A study of an MRE in multilayered films is shown to be sufficient for direct extracting of the spin-dependent relaxation times of electron (for GMR-like samples) and energy dependence of the tunnel spin-polarization density of states near the Fermi level for layered TMR films. It is proposed to use the magnetorefractive effect as a noncontact probe of magnetoresistive effects in thin magnetic films through investigations of the field-dependent reflection behaviors of multilayered films in the IR region.
Clinical and Pathological Findings Associated with Mycobacteriosis in Captive Syngnathids

Simple Summary Syngnathids are teleost fish that include seahorses (Hippocampus ssp.), pipefishes (Syngnathus spp.), common seadragons (Phyllopteryx taeniolatus) and leafy seadragons (Phycodurus eques). Some species are currently threatened. Reproduction and maintenance in aquariaare complicated and highly contagious diseases, such as mycobacteriosis, can trigger numerous casualties. The most frequently common species observed in fish are Mycobacterium marinum, M. fortuitum and M. chelonae, which belong to the group of non-tuberculous mycobacteria. Stress factors, poor water quality, bad management and high population densities are associated with a higher prevalence of this disease. This study describes the clinical signs and granulomatous lesions associated with mycobacteriosis in syngnathids. M. fortuitum and Mycobacterium spp. were isolated in 4 and 14 syngnathids, respectively. Seven samples were positive against M. chelonae and M. marinum common primers. Considering the scarcity of pathological studies in syngnathids, these findings can help to improve the clinical management and survival of these animals in captivity. Abstract Mycobacteriosis is an important disease that affects captive and wild aquatic fish. Syngnathids are susceptible to infection by non-tuberculous mycobacteria. The aim of this study was to describe clinical signs, and macroscopic and histological lesions in 25 syngnathids and the molecular characterization of the causative mycobacteria. Clinical presentation ranged from sudden death to non-specific signs, including anorexia, poor body condition, weight loss and marked dyspnea with increased respiratory effort and rate. Gross lesions were mostly ulcers on the tail and small white nodules in the liver, coelomic cavity and inside the eye. The most affected organs were gills, liver, intestine and coelomic mesentery. Microscopic lesions consisted of areas of multifocal to diffuse granulomatous inflammation and bacterial emboli with numerous intralesional acid-fast bacilli. Epithelioid cells, multinucleated giant cells, lymphocytes and fibrous connective tissue, which are commonly observed in granulomatous inflammation, were not observed here. In the real-time PCR, M. fortuitum, M. chelonae and M. marinum common primers, Mycobacterium spp. were detected in 4, 7 and 14 individuals, respectively. In addition, this is the first description of mycobacteriosis found in Syngnathus acus.
Steady-State Behavior of Some Load Balancing Mechanisms in Cloud Storage Systems

In large storage systems, files are often coded across several servers to improve reliability and retrieval speed. We consider a system of $n$ servers storing files using a Maximum Distance Separable code (cf. \cite{li2016mean}). Specifically, each file is stored in equally sized pieces across $L$ servers such that any $k$ pieces can reconstruct the original file. File requests are routed using the Batch Sampling routing scheme. I.e. when a request for a file is received, a centralized dispatcher routes the job into the $k$-shortest queues among the $L$ for which the corresponding server contains a piece of the file being requested. We study the long time behavior of this class of load balancing mechanisms. In particular, it is shown that the ODE system that describes the mean field limit of the occupancy measure process has a unique fixed point which is stable. This fixed point corresponds to a distribution on $\mathbb{N}_0$ of queue lengths with tails that decay super-exponentially. Upper and lower bounds on the decay rate are provided. Finally, we show that the unique invariant measure of the Markov occupancy measure process converges to the Dirac measure concentrated at the unique fixed point of the ODE system, establishing the interchangeability of the $t\to\infty$ and $n\to\infty$ limits.
Evolution of a shock wave in a granular gas

Shock wave evolution arising during a steady one-dimensional motion of a piston in a granular gas, composed of inelastically colliding particles is treated by a computational fluid dynamics (CFD) method. It is shown that the flow reaches an asymptotic stationary (final) stage after large evolution time. At this stage particle kinetic energy dissipation leads to formation of two regions within the upstream flow: a fluidized region adjacent to the shock front and a “solid” region adjacent to the piston. In the latter the density is close to the maximum packing density and the kinetic energy of chaotic granular motion is almost zero. The shock wave velocity, mass, and the granular kinetic energy in the fluidized region are found to be constant values, whereas the mass of the solid region grows linearly with time. All properties calculated for the final evolution stage are in excellent agreement with the predictions of the asymptotic solution of the problem obtained earlier. We extend the existing hydrodynami.
Real-Time Applications of the Variational Version of the Local Analysis and Prediction System (vLAPS)

AbstractThe accurate and timely depiction of the state of the atmosphere on multiple scales is critical to enhance forecaster situational awareness and to initialize very short-range numerical forecasts in support of nowcasting activities. The Local Analysis and Prediction System (LAPS) of the Earth System Research Laboratory (ESRL)/Global Systems Division (GSD) is a numerical data assimilation and forecast system designed to serve such very finescale applications. LAPS is used operationally by more than 20 national and international agencies, including the NWS, where it has been operational in the Advanced Weather Interactive Processing System (AWIPS) since 1995.Using computationally efficient and scientifically advanced methods such as a multigrid technique that adds observational information on progressively finer scales in successive iterations, GSD recently introduced a new, variational version of LAPS (vLAPS). Surface and 3D analyses generated by vLAPS were tested in the Hazardous Weather Testbed (H.
Iteroparity and its contribution to life-history variation in Atlantic salmon

Evolution of iteroparity is shaped by the trade-off between current and future reproduction. We studied variation in iteroparity among 205 050 individual Atlantic salmon caught in 179 rivers spanning 14° of latitude. The proportion of repeat spawners (iteroparous individuals) averaged 3.8% and ranged from 0% to 26% across rivers. Females were more often repeat spawners than males and had lower cost of reproduction in terms of lost body mass between spawning events. Proportion repeat spawners for a given sea age at maturity, and the ratio of alternate to consecutive repeat spawners, increased with increasing population mean sea age at maturity. By combining smolt age, sea age at maturity, and age at additional spawning events, we identified 141 unique life-history types, and repeat spawners contributed 75% of that variation. Our results show that repeat spawners are important for life-history variation and suggest that the association between mean sea age and the frequency of repeat spawning is adaptive rather than a pleiotropic side effect arising from selection on sea age.
An Analysis of Cold Season Supercell Storms Using the Synthetic Dual-Doppler Technique

AbstractCold season tornadic outbreaks occur with regularity in the southeastern United States; however, detailed analyses of parent supercell storms in the cold season environment (often low CAPE, high shear) are scarce. This is often because storms do not always move close enough to radars for a comprehensive single-Doppler analysis and significant topography or trees in the Southeast make it difficult for mobile radars to operate, thus limiting dual-Doppler coverage. However, during the Super Tuesday tornado outbreak of 5–6 February 2008, two tornadic supercell storms passed within 30–40 km of the Weather Surveillance Radar-1988 Doppler (WSR-88D) sites in Memphis and Nashville, Tennessee (KNQA and KOHX, respectively). The relative steadiness of these storms during passage, along with the large motion vector (from the southwest at 20–25 m s−1), allowed the application of a synthetic dual-Doppler (SDD) analysis. As such, a detailed analysis of these storms was completed, including examinations of low-lev.
A new search for distant radio galaxies in the Southern hemisphere – I. Sample definition and radio properties

This paper introduces a new program to find high-redshift radio galaxies in the Southern hemisphere through ultrasteep spectrum (USS) selection. We define a sample of 234 USS radio sources with spectral indices α 843 408 ≤ -1.0 (S v oc v α ) and flux densities S 408 ≥ 200 mJy in a region of 0.35 sr, chosen by cross-correlating the revised 408 MHz Molonglo Reference Catalogue, the 843 MHz Sydney University Molonglo Sky Survey and the 1400 MHz NRAO VLA Sky Survey in the overlap region -40° < δ < -30°. We present Australia Telescope Compact Array (ATCA) high-resolution 1384 and 2368 MHz radio data for each source, which we use to analyse the morphological, spectral index and polarization properties of our sample. We find that 85 per cent of the sources have observed-frame spectral energy distributions that are straight over the frequency range 408-2368 MHz, and that, on average, sources with smaller angular sizes have slightly steeper spectral indices and lower fractional linear polarization. Fractional polarization is anticorrelated with flux density at both 1400 and 2368 MHz. We also use the ATCA data to determine observed-frame Faraday rotation measures for half of the sample.
Cognitive Emotion Regulation Questionnaire—Short: Reliability, Validity, and Measurement Invariance of the Italian Version

Objective: The Cognitive Emotion Regulation Questionnaire (CERQ) is a widely used instrument to assess cognitive emotion regulation strategies. The study aimed to test the psychometric properties of the Italian short version of the CERQ (CERQ-IS). Methods: Two separate samples of 442 young adults (Mage = 21.12; SD = 3.69) and 256 adolescents (Mage = 14.81; SD = 0.59) completed the CERQ, the Emotional Regulation Questionnaire (ERQ) and the Multidimensional Perfectionism Scale (MPS). A confirmatory factor analysis (CFA) was performed to evaluate the dimensionality of the CERQ-IS. Internal consistency was analysed by calculating model-based composite reliability coefficients. Criterion and discriminant validity were gathered through the correlations with the ERQ and the MPS, respectively. Factorial invariances tests across gender and age were computed by means of multiple-group CFA. Results: CFA confirmed the nine-factor structure showing an excellent fit to the data. Except for rumination which was minimally acceptable, all subscales had an acceptable to good reliability. Criterion validity was supported by significant correlations between CERQ-IS and ERQ subscales. Discriminant validity was confirmed by meaningless correlations with the MPS facets. Configural, metric and scalar invariance were established across both grouping variables. Conclusions: The brevity of this tool and its good psychometric properties suggest that CERQ-IS could be a useful screening tool in both clinical and research practice in adolescence and young adulthood.
Compatible polynomials and edgewise subdivisions

This thesis contains five papers divided into two parts. In the first part, Papers I-IV, we study polynomials within the field of combinatorics. Here we study combinatorial properties as well as the zero distribution of the polynomials in question. The second part consists of Paper V, where we study correlating events in randomly oriented graphs.In Paper I we give a new combinatorial interpretation of the stationary distribution of the partially asymmetric exclusion process in terms of colored permutations and decorated alternative trees. We also find a connection between the corresponding multivariate partition functions and the multivariate Eulerian polynomials for r-colored permutations.In Paper II we study a multivariate refinement of P-Eulerian polynomials. We show that this refinement is stable (i.e., non-vanishing whenever the imaginary parts of its variables are all positive) for a large class of labeled posets.In Paper III we use the technique of compatible polynomials to prove that the local h-polynomial of the rth edgewise subdivision of the (n–􀀀1)-dimensional simplex 2V has only real zeros. We generalize the result and study matrices with interlacing preserving properties.In Paper IV we introduce s-lecture hall partitions for labeled posets. We provide generating functions as well as establish a connection between statistics on wreath products and statistics on lecture hall partitions for posets.In Paper V we prove that the events {s → a} (that there exists a directed path from s to a) and {t → b} are positively correlated in a random tournament for distinct vertices a, s, b, t ∈ Kn. We also discuss the correlation between the same events in two random graphs with random orientation.
On error term estimates \`a la Walfisz for mean values of arithmetic functions.

Walfisz (1963) proved the asymptotic formula \[ \sum_{n\le x}\varphi(n) = \frac{3}{\pi^2}x^2+O(x(\log x)^{\frac{2}{3}}(\log\log x)^{\frac{4}{3}}), \] which improved the error term estimate of Mertens (1874) and had been the best possible estimate for more than 50 years. Recently, H. -Q. Liu (2016) improved Walfisz's error term estimate to \[ \sum_{n\le x}\varphi(n) = \frac{3}{\pi^2}x^2+O(x(\log x)^{\frac{2}{3}}(\log\log x)^{\frac{1}{3}}). \] We generalize Liu's result to a certain class of arithmetic functions and improve the result of Balakrishnan and P\'etermann (1996). To this end, we provide a refined version of Vinogradov's combinatorial decomposition available for a wider class of multiplicative functions.
Almost-Kähler smoothings of compact complex surfaces with $A_1$ singularities

This paper is concerned with the existence of metrics of constant Hermitian scalar curvature on almost-Kahler manifolds obtained as smoothings of a constant scalar curvature Kahler orbifold, with A1 singularities. More precisely, given such an orbifold that does not admit nontrivial holomorphic vector fields, we show that an almost-Kahler smoothing (Me, ωe) admits an almost-Kahler structure (Je, ge) of constant Hermitian curvature. Moreover, we show that for e > 0 small enough, the (Me, ωe) are all symplectically equivalent to a fixed symplectic manifold (M , ω) in which there is a surface S homologous to a 2-sphere, such that [S] is a vanishing cycle that admits a representant that is Hamiltonian stationary for ge.
Formation and temporal evolution of the Lamb-dipole

The formation and dynamics of dipolar vortex structures in two-dimensional flows are studied. Localized initial structures possessing a finite linear momentum are found to develop into dipoles by direct numerical solutions of the two-dimensional Navier-Stokes equations. The detailed structure of the evolving dipoles depend on the initial condition. However, the gross properties of their evolution are only weakly dependent on the detailed structure and can be well-described by the so-called Lamb-dipole solution. The viscous decay of the Lamb-dipole, leading to an expansion and a decreasing velocity, is well described by an adiabatic theory. During the expansion the dipole is found to trap fluid as it evolves.
Impact of Ectoparasites on Haemato-Biochemical Indices of Snakeheaded Fishes

The present investigation was carried out to study the effect of parasitic infection on the haematological and biochemical parameters of fishes. For this study total 110 fish of Channa punctatus and Channa striatus were examined for parasites. The parasites recovered were protozoans (Trichodina sp., Ichthyoptherius sp., and Myxobolus sp.) and crustaceans (Ergasilus sp., Lernea sp., Lamproglena sp. and Argulus sp.) with a total prevalence of 64.54 % and mean intensity of 4.47. The result of the present investigation showed that RBC, PCV and Hb% decreased whereas WBC increased significantly in infected fish. The result also showed that aspartate aminotransaminase (AST) and alanine aminotransferase (ALT) enzyme activities as well as creatinine and urea levels were increased in the infected fishes. However, serum glucose level was decreased in parasitic infected fishes. Thus, the result of the present study revealed that infected fish suffer from anemia and tissue damages caused by parasitic invasion.
Circulations between Mesoscale Convective Systems along a Cold Front

Abstract A frontal squall line that passed over the central United States on 14–15 June 1985 consisted of several primary mesoscale convective systems (MCSs) with a prominent gap (several hundred kilometers wide) between two of them over central Kansas and Oklahoma. An upper-level jet streak crossed the front at right angles, with the jet exit region centered in the gap. Surface, upper-air, radar, and satellite data are used to examine conditions contributing to this squall-line gap. All surface indicators (e.g., a sharp wind shift line and strong low-level moisture convergence) pointed toward the development of new deep convection in the gap. Computations of vertical velocity using sounding data showed that the low-level vertical motion was indeed upward there; however, strong subsidence existed aloft. The demarcation between subsidence aloft and ascent at low levels was near the 0°C level, where there was a concurrent inflow into the MCSs. A strong inversion existed near this level, which effectively ca.
Global weak solutions of Vlasov‐Maxwell systems

We study here the Vlasov-Maxwell system in its classical and relativistic form. We prove the stability of solutions in weak topologies and deduce from this stability result the global existence of a weak solution with large initial data. The main tools consist of a new regularity result for velocity averages of solutions of some general linear transport equations and the method of renormalization introduced by the authors in previous work.