Miracle-dz/UniFAR-FTUs huggingface dataset:
Matrix Representations of Holomorphic Curves on Bbb T4

We construct a matrix representation of compact membranes analytically embedded in complex tori. Brane configurations give rise, via Bergman quantization, to U(N) gauge fields on the dual torus, with almost-anti-self-dual field strength. The corresponding U(N) principal bundles are shown to be non trivial, with vanishing instanton number and first Chern class corresponding to the homology class of the membrane embedded in the original torus. In the course of the investigation, we show that the proposed quantization scheme naturally provides an associative star-product over the space of functions on the surface, for which we give an explicit and coordinate-invariant expression. This product can, in turn, be used the quantize, in the sense of deformation quantization, any symplectic manifold of dimension two.
Identification of potential candidate vaccines against Mycobacterium ulcerans based on the major facilitator superfamily transporter protein

Buruli ulcer is a neglected tropical disease that is characterized by non-fatal lesion development. The causative agent is Mycobacterium ulcerans (M. ulcerans). There are no known vectors or transmission methods, preventing the development of control methods. There are effective diagnostic techniques and treatment routines; however, several socioeconomic factors may limit patients’ abilities to receive these treatments. The Bacillus Calmette–Guérin vaccine developed against tuberculosis has shown limited efficacy, and no conventionally designed vaccines have passed clinical trials. This study aimed to generate a multi-epitope vaccine against M. ulcerans from the major facilitator superfamily transporter protein using an immunoinformatics approach. Twelve M. ulcerans genome assemblies were analyzed, resulting in the identification of 11 CD8+ and 7 CD4+ T-cell epitopes and 2 B-cell epitopes. These conserved epitopes were computationally predicted to be antigenic, immunogenic, non-allergenic, and non-toxic. The CD4+ T-cell epitopes were capable of inducing interferon-gamma and interleukin-4. They successfully bound to their respective human leukocyte antigens alleles in in silico docking studies. The expected global population coverage of the T-cell epitopes and their restricted human leukocyte antigens alleles was 99.90%. The population coverage of endemic regions ranged from 99.99% (Papua New Guinea) to 21.81% (Liberia). Two vaccine constructs were generated using the Toll-like receptors 2 and 4 agonists, LprG and RpfE, respectively. Both constructs were antigenic, non-allergenic, non-toxic, thermostable, basic, and hydrophilic. The DNA sequences of the vaccine constructs underwent optimization and were successfully in-silico cloned with the pET-28a(+) plasmid. The vaccine constructs were successfully docked to their respective toll-like receptors. Molecular dynamics simulations were carried out to analyze the binding interactions within the complex. The generated binding energies indicate the stability of both complexes. The constructs generated in this study display severable favorable properties, with construct one displaying a greater range of favorable properties. However, further analysis and laboratory validation are required.
Mental health in Austrian psychotherapists during the COVID-19 pandemic

Although the impact of the COVID-19 pandemic on mental health has been reported in different communities, little is known about the mental health of psychotherapists during the COVID-19 pandemic. This study aimed to assess mental health during the COVID-19 pandemic in Austrian psychotherapists and compare it with the general population. A total of n = 513 psychotherapists (80.5% women; mean age: 53.06 ± 9.94 years) took part in an online survey conducted from April to June 2022. At the same time, a representative sample (N = 1,031) of the Austrian general population was surveyed online. Indicators of mental health were mental wellbeing (WHO-5), depression (PHQ-2), anxiety (GAD-2), insomnia (ISI-2), and stress (PSS-10). The general population sample was matched according to age and gender with the psychotherapist's data using propensity scores, yielding a final sample of n = 513 (80.5% women; mean age: 52.33 ± 13.39 years). Psychotherapists showed lower odds for exceeding cut-offs for clinically relevant depressive, anxiety, insomnia and stress symptoms (0.34–0.58) compared to the general population. Further studies should elucidate the protective factors underlying these findings.
G2 and Sgr A*: A Cosmic Fizzle at the Galactic Center

We carry out a series of simulations of G2-type clouds interacting with the black hole at the galactic center, to determine why no large changes in the luminosity of Sgr A* were seen, and to determine the nature of G2. We measure the accretion rate from the gas cloud onto Sgr A* for a range of simulation parameters, such as cloud structure, background structure, background density, grid resolution, and accretion radius. For a broad range of parameters, the amount of cloud material accreted is small relative to the amount of background material accreted. The total accretion rate is not significantly effected for at least 30 yr after periapsis. We find that reproducing observations of G2 likely requires two components for the object: an extended, cold gas cloud responsible for the Br-γ emission, and a compact core or dusty stellar object dominating the bolometric luminosity. In simulations, the bolometric and X-ray luminosity have a peak lasting from about one year before to one year after periapsis, a feature not detected in observations. Our simulated Br-γ emission is largely consistent with observations leading up to periapsis, with a slight increase in luminosity and a large increase in the FWHM of the line velocity. All emission from a gaseous component of G2 should fade rapidly after periapsis and be undetectable after one year, due to shock heating and expansion of the cloud. Any remaining emission should be from the compact component of G2.
VISCOSITY PRESCRIPTION FOR GRAVITATIONALLY UNSTABLE ACCRETION DISKS

Gravitationally unstable accretion disks emerge in a variety of astrophysical contexts—giant planet formation, FU Orioni outbursts, feeding of active galactic nuclei, and the origin of Pop III stars. When a gravitationally unstable disk is unable to cool rapidly, it settles into a quasi-stationary, fluctuating gravitoturbulent state, in which its Toomre Q remains close to a constant value Q 0 ∼ 1 ? > . Here we develop an analytical formalism describing the evolution of such a disk, which is based on the assumptions of Q = Q 0 ? > and local thermal equilibrium. Our approach works in the presence of additional sources of angular momentum transport (e.g., MRI), as well as external irradiation. Thermal balance dictates a unique value of the gravitoturbulent stress &agr; gt ? > driving disk evolution, which is a function of the local surface density and angular frequency. We compare this approach with other commonly used gravitoturbulent viscosity prescriptions, which specify the explicit dependence of stress &agr; gt ? > on Toomre Q in an ad hoc fashion, and identify the ones that provide consistent results. We nevertheless argue that our Q = Q 0 ? > approach is more flexible, robust, and straightforward and should be given preference in applications. We illustrate this with a couple of analytical calculations—locations of the snow line and of the outer edge of the dead zone in a gravitoturbulent protoplanetary disk—which clearly show the simplicity and versatility of the Q = Q 0 ? > approach.
ENERGY SPECTRA OF PRIMARY AND SECONDARY COSMIC-RAY NUCLEI MEASURED WITH TRACER

The Transition Radiation Array for Cosmic Energetic Radiation (TRACER) cosmic-ray detector, first flown on long-duration balloon (LDB) in 2003 for observations of the major primary cosmic-ray nuclei from oxygen (Z = 8) to iron (Z = 26), has been upgraded to also measure the energies of the lighter nuclei, including the secondary species boron (Z = 5). The instrument was used in another LDB flight in 2006. The properties and performance of the modified detector system are described, and the analysis of the data from the 2006 flight is discussed. The energy spectra of the primary nuclei carbon (Z = 6), oxygen, and iron over the range from 1 GeV amu−1 to 2 TeV amu−1 are reported. The data for oxygen and iron are found to be in good agreement with the results of the previous TRACER flight. The measurement of the energy spectrum of boron also extends into the TeV amu−1 region. The relative abundances of the primary nuclei, such as carbon, oxygen, and iron, above ∼10 GeV amu−1 are independent of energy, while the boron abundance, i.e., the B/C abundance ratio, decreases with energy as expected. However, there is an indication that the previously reported E−0.6 dependence of the B/C ratio does not continue to the highest energies.
Endoscopic classification of representations of quasi-split unitary groups

In this paper we establish the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
FEEDBACK FROM CENTRAL BLACK HOLES IN ELLIPTICAL GALAXIES: TWO-DIMENSIONAL MODELS COMPARED TO ONE-DIMENSIONAL MODELS

We extend the black hole (BH) feedback models of Ciotti, Ostriker, and Proga to two dimensions. In this paper, we focus on identifying the differences between the one-dimensional and two-dimensional hydrodynamical simulations. We examine a normal, isolated L* galaxy subject to the cooling flow instability of gas in the inner regions. Allowance is made for subsequent star formation, Type Ia and Type II supernovae, radiation pressure, and inflow to the central BH from mildly rotating galactic gas which is being replenished as a normal consequence of stellar evolution. The central BH accretes some of the infalling gas and expels a conical wind with mass, momentum, and energy flux derived from both observational and theoretical studies. The galaxy is assumed to have low specific angular momentum in analogy with the existing one-dimensional case in order to isolate the effect of dimensionality. The code then tracks the interaction of the outflowing radiation and winds with the galactic gas and their effects on regulating the accretion. After matching physical modeling to the extent possible between the one-dimensional and two-dimensional treatments, we find essentially similar results in terms of BH growth and duty cycle (fraction of the time above a given fraction of the Eddington luminosity). In the two-dimensional calculations, the cool shells forming at 0.1–1 kpc from the center are Rayleigh–Taylor unstable to fragmentation, leading to a somewhat higher accretion rate, less effective feedback, and a more irregular pattern of bursting compared with the one-dimensional case.
Thermodynamic formalism for topological Markov chains on standard Borel spaces

We develop a Thermodynamic Formalism for bounded continuous potentials defined on the sequence space $X\equiv E^{\mathbb{N}}$, where $E$ is a general Borel standard space. In particular, we introduce meaningful concepts of entropy and pressure for shifts acting on $X$ and obtain the existence of equilibrium states as additive probability measures for any bounded continuous potential. Furthermore, we establish convexity and other structural properties of the set of equilibrium states, prove a version of the Perron-Frobenius-Ruelle theorem under additional assumptions on the regularity of the potential and show that the Yosida-Hewitt decomposition of these equilibrium states do not have a purely additive part. We then apply our results to the construction of invariant measures of time-homogeneous Markov chains taking values on a general Borel standard space and obtain exponential asymptotic stability for a class of Markov operators. We also construct conformal measures for an infinite collection of interacting random paths which are associated to a potential depending on infinitely many coordinates. Under an additional differentiability hypothesis, we show how this process is related after a proper scaling limit to a certain infinite dimensional diffusion.
Optimizing traffic distribution in multi-radio multi-channel wireless mesh networks under dynamic traffic demand

To my parents and anyone who has been part of my life ii ACKNOWLEDGEMENTS First, I would like to thank everyone who has helped me in my life, no matter whether it was when I was still a child or during my graduate study. I would not be who I am without help from all of you. I would like to especially thank my parents. I could not make it without their endless support for my life. I know I owe them more than I could repay. This work would not have been possible without the guidance and support of my advisor, Dr. Yuan Xue. I would like to thank her for her patience, time, advice and invaluable support throughout this study. I am grateful to the members of my dissertation committee, Dr. and Dr. Bradley A. Malin for their insight and guidance. Finally, I would like to thank all past and current members of VANETS lab. It has been my pleasure to study and collaborate with all of you. Thank you so much for the help you have given me. In addition, I would to like thank all my friends at Vandy. You have made my experience at Vandy wonderful.
Final state interaction on $B^+ \to \pi^-\pi^+\pi^+$

The large localized CP asymmetries observed by LHCb in three-body charmless decays of $B$ mesons brings new challenge for experimentalists and their traditional models to fit data. With higher statistics, rescattering and three-body effects, previously ignored on data analysis, become more visible. The time is ripe to use better theoretical assumptions as an ingredient in order to improve the analysis. In this paper we address the issue of rescattering effects in the charmless three-body decays of $B$ mesons. In particular, we study the case of the $B^+ \to \pi^-\pi^+\pi^+$ decay and show that the presence of hadronic loops shifts the P-wave phase near threshold to below zero, and modify the position of the $\rho$-meson peak and it width, in the Dalitz plot.
A Twisted Version of the Classifying Space Functor

It is known that there is a weak-equivalence between the geometric realization of a simplicially enriched small category and its cofibrant replacement [12]. In this paper, we show that when only small categories are considered there exists a homeomorphism between these geometric realizations. We also discuss the naturality of these homoemorphisms. The inclusion of the category of small categories to the category of simplicially enriched categories, the cofibrant replacement of simplicially enriched categories, and the geometric realization of simplicially enriched categories are three composable functors. Hence one can ask if the collection of all these homeomorphisms gives a natural transformation from the composition of these three functors to the classifying space functor. We show that this is almost the case and that this composition can be considered as some twisted version of the classifying space functor. \end{abstract}
Surprising Examples of Manifolds in Toric Topology

We investigate small covers and quasitoric over the duals of neighborly simplicial polytopes with small number of vertices in dimensions $4$, $5$, $6$ and $7$. In the most of the considered cases we obtain the complete classification of small covers. The lifting conjecture in all cases is verified to be true. The problem of cohomological rigidity for small covers is also studied and we have found a whole new series of weakly cohomologically rigid simple polytopes. New examples of manifolds provide the first known examples of quasitoric manifolds in higher dimensions whose orbit polytopes have chromatic numbers $\chi (P^n)\geq 3n-5$.
CXOU J005047.9-731817: a 292-s X-ray binary pulsar in the Small Magellanic Cloud

We report on the discovery of a transient X-ray pulsars, located in the Small Magellanic Cloud, with a pulse period of 292 s. A series of Chandra pointings fortuitously recorded in 2010 April-May the occurrence of a two-weeks-long outburst, during which the source luminosity increased by a factor of about 100, reaching a peak of ~1E36 erg/s (for a distance of 61 kpc). Complex-shape and energy-dependent pulsations were detected close to the outburst peak and during the very first part of its decay phase. During the outburst, the phase-averaged spectrum of the pulsar was well described by an absorbed power law with photon index ~0.6, but large variations as a function of phase were present. The source was also detected by Chandra several times (during 2002, 2003, 2006, and 2010) at a quiescent level of ~1E34 erg/s. In 2012 we performed an infrared photometric follow-up of the R ~ 15 mag optical counterpart with the ESO/VLT and a spectroscopic observation by means of the CTIO telescope. The optical spectra suggest a late-Oe or early-Be V-III luminosity-class star, though a more evolved companion cannot be ruled out by our data (we can exclude a luminosity class I and a spectral type later than B2). Finally, we show that the outburst main parameters (duration and peak luminosity) can be accounted for by interpreting the source transient activity as a type I outburst in a Be X-ray binary.
Recovering Valuations on Demushkin Fields

Let $K$ be a field with $G_K(2) \simeq G_{\mathbb{Q}_2}(2)$, where $G_F(2)$ denotes the maximal pro-2 quotient of the absolute Galois group of a field $F$. We prove that then $K$ admits a (non-trivial) valuation $v$ which is 2-henselian and has residue field $\mathbb{F}_2$. Furthermore, $v(2)$ is a minimal positive element in the value group $\Gamma_v$ and $[\Gamma_v:2\Gamma_v]=2$. This forms the first positive result on a more general conjecture about the structure of pro-$p$ Galois groups which we formulate precisely (cf. Conjecture 1). As an application, we prove a strong version of the birational section conjecture for smooth, complete curves $X$ over $\mathbb{Q}_2$, as well as an analogue for varieties.
Exact integration of height probabilities in the Abelian Sandpile model

The height probabilities for the recurrent configurations in the Abelian Sandpile model on the square lattice have analytic expressions, in terms of multidimensional quadratures. At first, these quantities were evaluated numerically with high accuracy and conjectured to be certain cubic rational-coefficient polynomials in π−1. Later their values were determined by different methods. We revert to the direct derivation of these probabilities, by computing analytically the corresponding integrals. Once again, we confirm the predictions on the probabilities, and thus, as a corollary, the conjecture on the average height, 〈ρ〉 = 17/8.
Bibliometric Analysis Of Research On Digital Scholarship

This paper is part of a larger research project carried out to develop a digital scholarship services model for Vietnam National University Ho Chi Minh City. The research is in its earliest stages of building a theoretical framework of digital scholarship services through reviewing the literature. The paper reports results from a literature analysis of current digital scholarship research. The study used the bibliometric method to systematically analyze the subject areas and keywords of digital scholarship research articles published in English from 2015 to July 17, 2021 in journals indexed in Scopus. The study covers 202 publications, along with full bibliographic information for descriptive statistical data analysis. The data was also analyzed using VOS viewer online application to map co-authorship, co-citation and keyword co-occurrence. The results show that digital scholarship is an evolving topic, and there is a shift towards focusing on digital humanities, digital libraries, scholarly communication/networked scholarship, digital publishing and applications of digital technologies. Although scholars from developing countries have published a range of articles in the field of digital scholarship, researchers from developed countries still play a dominant role. The results provide an up-to-dated general analysis of the situation of research on digital scholarship in recent years, and help identify appropriate research topics for the future.
H\'enon renormalization in arbitrary dimension : Invariant space under renormalization operator

Infinitely renormalizable H\'enon-like map in arbitrary finite dimension is considered. The set, $\mathcal N$ of infinitely renormalizable H\'enon-like maps satisfying the certain condition is invariant under renormalization operator. The Cantor attractor of infinitely renormalizable H\'enon-like map, $F$ in $\mathcal N$ has {\em unbounded geometry} almost everywhere in the parameter space of the universal number which corresponds to the average Jacobian of two dimensional map. This is an extension of the same result in $\mathcal N$ for three dimensional infinitely renormalizable H\'enon-like maps.
Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation

The present paper is concerned with equidistribution results for certain flows on homogeneous spaces and related questions in Diophantine approximation. Firstly, we answer in the affirmative, a question raised by Kleinbock, Shi and Weiss regarding equidistribution of orbits of arbitrary lattices under diagonal flows and with respect to unbounded functions. We then consider the problem of Diophantine approximation with respect to rationals in a fixed number field. We prove a number field analogue of a famous result of W. M.Schmidt which counts the number of approximates to Diophantine inequalities for a certain class of approximating functions. Further we prove "spiraling" results for the distribution of approximates of Diophantine inequalities in number fields. This generalizes the work of Athreya, Ghosh and Tseng as well as Kleinbock, Shi and Weiss.
Competence, Job Satisfaction, Work Motivation, and Job Performance of the Village (“ Nagari ”) Masters in Managing E-Village Finance

This study intended to analyze the effects of competence, job satisfaction, and work motivation on job performance of Village (“ Nagari ”) Masters in managing e-village (nagari) finance in West Sumatra Province. “ Nagari ” was a distinctive community institution and at the same time a unique form of government in the Minangkabau region of West Sumatra Province, Indonesia. This uniqueness certainly has an impact on how the community was managed and how to manage its finance, including in relation to the competence, job satisfaction, and work motivation of the nagari masters. This study used quantitative methods. The population in this study was the whole nagari masters in West Sumatera, as many as 923 masters. Sample was obtained through multistage random sampling technique. Respondents in this study consisted of 137 Nagari Masters. Data in this study were collected through questionnaires and analyzed with path analysis. The finding of this study in the first model showed that there were significant effects of competence, job satisfaction, and work motivation on job performance. The second model this study found the effects of competence and job satisfaction on work motivation of Nagari masters in managing e-village finance in West Sumatera province. These findings implied that the competence, job satisfaction, and work motivation of the nagari masters in managing e-village finance is crucial to their success in rural development, particularly in the management of e-village finance. at Inspectorate of of performance of in the village financial management in Tanah Datar of