Miracle-dz/UniFAR-FTUs huggingface dataset:
Asymptotic Expansion and the LG/(Fano, General Type) Correspondence

The celebrated LG/CY correspondence asserts that the Gromov-Witten theory of a Calabi-Yau (CY) hypersurface in weighted projective space is equivalent to its corresponding FJRW-theory (LG) via analytic continuation. It is well known that this correspondence fails in non-Calabi-Yau cases. The main obstruction is a collapsing or dimensional reduction of the state space of the Landau-Ginzburg model in the Fano case, and a similar collapsing of the state space of Gromov-Witten theory in the general type case. We state and prove a modified version of the cohomological correspondence that describes this collapsing phenomenon at the level of state spaces. This result confirms a physical conjecture of Witten-Hori-Vafa. The main purpose of this article is to provide a quantum explanation for the collapsing phenomenon. A key observation is that the corresponding Picard-Fuchs equation develops irregular singularities precisely at the points where the collapsing occurs. Our main idea is to replace analytic continuation with asymptotic expansion in this non-Calabi-Yau setting. The main result of this article is that the reduction in rank of the Gromov-Witten I-function due to power series asymptotic expansions matches precisely the dimensional reduction of the corresponding state space. Furthermore, asymptotic expansion under a different asymptotic sequence yields a different I-function which can be considered as the mathematical counterpart to the additional "massive vacua" of physics.
Quadratic-linear duality and rational homotopy theory of chordal arrangements

To any graph and smooth algebraic curve $C$ one may associate a "hypercurve" arrangement and one can study the rational homotopy theory of the complement $X$. In the rational case ($C=\mathbb{C}$), there is considerable literature on the rational homotopy theory of $X$, and the trigonometric case ($C = \mathbb{C}^\times$) is similar in flavor. The case of when $C$ is a smooth projective curve of positive genus is more complicated due to the lack of formality of the complement. When the graph is chordal, we use quadratic-linear duality to compute the Malcev Lie algebra and the minimal model of $X$, and we prove that $X$ is rationally $K(\pi,1)$.
The Balmer decrement of Sloan Digital Sky Survey galaxies

High-resolution spectra are necessary to distinguish and correctly measure the Balmer emission lines due to the presence of strong metal and Balmer absorption features in the stellar continuum. This accurate measurement is necessary for use in emission-line diagnostics, such as the Balmer decrement (i.e. Hα/Hβ), used to determine the attenuation of galaxies. Yet at high redshifts, obtaining such spectra becomes costly. Balmer emission-line equivalent widths are much easier to measure, requiring only low-resolution spectra or even simple narrow-band filters and therefore shorter observation times. However, a correction for the stellar continuum is still needed for this equivalent width Balmer decrement. We present here a statistical analysis of the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7) emission-line galaxy sample, using the spectrally determined Balmer emission-line fluxes and equivalent widths. Using the large numbers of galaxies available in the SDSS catalogue, we determined an equivalent width Balmer decrement including a statistically based correction for the stellar continuum. Based on this formula, the attenuation of galaxies can now be obtained from low spectral resolution observations. In addition, this investigation also revealed an error in the Hβ line fluxes, within the SDSS DR7 MPA/JHU† catalogue, with the equivalent widths underestimated by average ∼0.35 A in the emission-line galaxy sample. This error means that Balmer decrement determined attenuations are overestimated by a systematic 0.1 mag in AV, and future analyses of this sample need to include this correction.
Threshold dynamics for corotational wave maps

We study the dynamics of corotational wave maps from $\mathbb R^{1+2} \rightarrow \mathbb S^2$ at threshold energy. It is known that topologically trivial wave maps with energy $< 8\pi$ are global and scatter to a constant map. In this work, we prove that a corotational wave map with energy equal to $8\pi$ is globally defined and scatters in one time direction, and in the other time direction, either the map is globally defined and scatters, or the map breaks down in finite time and converges to a superposition of two harmonic maps. The latter behavior stands in stark contrast to higher equivariant wave maps with threshold energy which have been proven to be globally defined for all time. Using techniques developed in this paper, we also construct a corotational wave map with energy $= 8\pi$ which blows up in finite time. The blow-up solution we construct provides the first example of a minimal topologically trivial non-dispersing solution to the full wave map evolution.
On $A_2$ conjecture and corona decomposition of weights

We consider here a problem of finding the sharp estimate for the boundedness of an arbitrary Calder\'on-Zygmund operator in $L^2(w)$, $w\in A_2$. We first prove that for $A_2$ weight $w$ one has that the norm a Calderon--Zygmund operator $T$ in $L^2(w)$ is bounded by the sum of its weak norm, the weak norm of its adjoint, and the $A_2$ norm of the weight. From this result we derive that $\|T\|_{L^2(w)\rightarrow L^2(w)} \le C\,[w]_{A_2}\log (1+[w]_{A_2})$. We believe that the logarithmic factor is superflous. The approach is based on $2$-weight estimates technique and, hence, on non-homogeneous harmonic analysis.
Rigidity for von Neumann algebras and their invariants

We give a survey of recent classification results for crossed product von Neumann algebras arising from measure preserving group actions on probability spaces. This includes II_1 factors with uncountable fundamental groups and the construction of W*-superrigid actions where the crossed product entirely remembers the initial group action that it was constructed from.
Università di Milano – Bicocca Quaderni di Matematica Optimal Preconditioners for Finite Element Approximations of Convection-Diffusion Equations on structured meshes

The paper is devoted to the spectral analysis of effective preconditioners for linear systems obtained via a Finite Element approximation to diffusion-dominated convection-diffusion equations. We consider a model setting in which the structured finite element partition is made by equi-lateral triangles. Under such assumptions, if the problem is coercive, and the diffusive and convective coefficients are regular enough, then the proposed preconditioned matrix sequences exhibit a strong clustering at unity, the preconditioning matrix sequence and the original matrix sequence are spectrally equivalent, and the eigenvector matrices have a mild conditioning. The obtained results allow to show the optimality of the related preconditioned Krylov methods. The interest of such a study relies on the observation that automatic grid generators tend to construct equi-lateral triangles when the mesh is fine enough. Numerical tests, both on the model setting and in the non-structured case, show the effectiveness of the proposal and the correctness of the theoretical findings.
The dynamical state of a thick cloudy torus around an AGN

We present stationary models of obscuring dusty tori around active galactic nuclei. Vertical and radial structure are discussed separately based on a dynamical approach to a cloudy accretion flow. The vertical cloud distribution is described by a modified isothermal disk for arbitrary thickness of the torus with a wide funnel along the symmetry axis. The radial accretion flow is a consequence of cloud-cloud collisions. Accretion in the combined gravitational potential of central black hole and stellar cluster generates free energy, which is dissipated in collisions, and maintains the thickness of the torus. We focus on the largest clouds at the tidal shear limit, which will dominate the dynamics and the appearance of torus. Successful obscuration as required by unified schemes of AGN is achieved for large mass accretion rates above the Eddington limit of the central black hole. A complete quantitative treatment for the putative torus in the prototypical Seyfert 2 nucleus of NGC 1068 is given.
A trace inequality for positive definite matrices.

In this note we prove that Tr{MN + PQ} 0 when the following two conditions are met: (i) the matrices M,N,P,Q are structured as follows M = A B, N = B 1 A 1 , P = C D, Q = (B + D) 1 (A + C) 1 (ii) A, B are positive definite matrices and C, D are positive semidefinite matrices.
PENGEMBANGAN MODEL DINAMIKA PERUSAHAAN EKSPLORASI DAN PRODUKSI MINYAK DAN GAS

Kegiatan sektor minyak & gas (migas) terdiri dari dari dua kelompok, yaitu kegiatan sektor hulu migas yang meliputi eksplorasi migas dan produksi migas, dan kegiatan sektor hilir migas yang meliputi pengolahan, transportasi, dan distribusi minyak,baik sebagai Bahan Bakar Minyak (BBM) maupun feedstock untuk industri petrokimia.Kegiatan usaha migas di Indonesia dilakukan di bawah koordinasi dan pengawasan Badan Pelaksana Kegiatan Usaha Hulu Minyak dan Gas(BP Migas) melalui skema Production Sharing Contract (PSC). Setiap perusahaan Kontraktor Kontrak Kerja Sama (KKKS) memiliki target produksi yang disetujui oleh BP Migas. Selain itu, setiap tahun KKKS harus menyusun WP&B (Work Plan & Budget) yang berisi rencana kerja dalam setahun untuk mencapai target produksi yang telah dibuat. Salah satu permasalahan dalam penyusunan WP&B adalah memastikan bahwa jika semua rencana dalam WP&B dilaksanakan maka target produksi dan cadangan akan tercapai. Selama ini validasi dilakukan secara kualitatif (reality test) menggunakan judgment dari subject matter expertdengan dibantu perhitungan spreadsheet yang bersifat statis dan deterministik. Di sisi lain, bisnis migas sangat dinamis dan berisiko, sehingga adanya model kuantitatif yang bersifat dinamis dan probabilistik akan sangat membantu dalam proses pengambilan keputusan. Dalam penelitian ini akan dikembangkan model dinamika untuk suatu perusahaan eksplorasi dan produksi migas menggunakan metodologi System Dynamicsdengan bantuan software Powersim Studio. Kata kunci: eksplorasi dan produksi minyak dan gas, System Dynamics
Unitary Space-Time Modulation Based on Coherent Codes

This paper analyzes the relationship between pilot symbol-assisted modulation (PSAM) and unitary space-time modulation (USTM). In particular, we present a map that transforms any PSAM into a USTM and vice versa. USTMs are known to be capacity-achieving. However, most of the proposed USTM construction methods in the literature are computationally expensive, and the resulting constellations do not have a known structure that could simplify their decoding. Using the relationship between PSAM and USTM, and inspired by a graphical representation of these constellations used in this paper, we propose new USTM construction methods, which ensure that the USTM has a good performance compared to the corresponding PSAM, and a feasible construction and decoding, even for high data rates.
Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain

We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-like anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network techniques for a variety of initial states, including N\'eel and Majumdar-Ghosh states and the ground state of the XXZ chain at large values of the anisotropy. The various correlators appear to approach stationary values, which are found to be in good agreement with the results of exact calculations of stationary expectation values in appropriate generalized Gibbs ensembles. In particular, our analysis shows how symmetries of the post-quench Hamiltonian that are broken by particular initial states are restored at late times.
On blowup dynamics in the Keller-Segel model of chemotaxis

We investigate the (reduced) Keller-Segel equations modeling chemotaxis of bio-organisms. We present a formal derivation and partial rigorous results of the blowup dynamics of solution of these equations describing the chemotactic aggregation of the organisms. Our results are confirmed by numerical simulations and the formula we derive coincides with the formula of Herrero and Vel\'{a}zquez for specially constructed solutions.
Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications

Synopsis We study the large-time behaviour of solutions to the initial value problem for hyperbolic-parabolic systems of conservation equations in one space dimension. It is proved that under suitable assumptions a unique solution exists for all time t ≧ 0, and converges to a given constant state at the rate t − ¼ as t → ∞. Moreover, it is proved that the solution approaches the superposition of the non-linear and linear diffusion waves constructed in terms of the self-similar solutions to the Burgers equation and the linear heat equation at the rate t − ½ +α, α > 0, as t →∞. The proof is essentially based on the fact that for t → ∞ the solution to the hyperbolic-parabolic system is well approximated by the solution to a semilinear uniformly parabolic system whose viscosity matrix is uniquely determined from the original system. The results obtained are applicable straightforwardly to the equations of viscous (or inviscid) heat-conductive fluids.
Association Between Vitamin D, Zinc, and Thyroid Biomarker Levels With Vitiligo Disease: A Retrospective Cohort Study in a Tertiary Care Center

Objectives Vitiligo is a dermatological autoimmune disease that has been linked with numerous risk factors. There is an elevated level of evidence suggesting a linkage between vitiligo disease and zinc, vitamin D (Vit-D), thyroid hormones, and thyroid antibody levels. Methods This retrospective cohort study included patients of all age groups of both sexes. Patients were investigated for demographics, vitiligo characteristics, and laboratory tests, including zinc, Vit-D, T3 (triiodothyronine), T4 (thyroxine), thyroid-stimulating hormone (TSH), thyroid peroxidase antibody (TPOAb), and thyroglobulin antibody (TGAb). Results Two hundred and ninety-seven patients were retrospectively assessed; they averaged 29 years for segmental vitiligo (SV) and 31 years for nonsegmental vitiligo (NSV). Gender-wise, our study included more females (57.5%) than males (42.5%). Females comprised approximately 51.8% of NSV patients, while males constituted 36.7%. Patients' T3, T4, and TPOAb levels correlated significantly with age (p=0.001, p <0.01, p=0.14), and elevated BMI recorded high TPOAb levels (p<0.001). An increase in TGAb was associated with extensive involvement in the depigmentation of body surface area (BSA). The segmental type had the lowest TGAb and TPOAb titers. The universal subtype of vitiligo recorded the highest TSH, T3, and TGAb levels. However, differences in laboratory test levels were insignificant for the sex, the type of vitiligo, or the subtype of vitiligo. Conclusion In conclusion, neither Vit-D nor zinc had a significant linkage with any of vitiligo's characteristics or treatments. Nonetheless, TGAb had a significant correlation to the BSA involved with vitiligo while T4 and TPOAb had a significant association with age, BMI, and BSA overall. Statistically, T3 was linked with age and BSA overall only. More studies with a higher level of evidence are required to establish the association of Vit-D, zinc, thyroid biomarkers, and thyroid antibodies.
Limit theorems for the alloy-type random energy model

ABSTRACT In this paper, we consider limit laws for the model, which is a generalization of the random energy model (REM) to the case when the energy levels have the mixture distribution. More precisely, the distribution of the energy levels is assumed to be a mixture of two normal distributions, one of which is standard normal, while the second has the mean with some and the variance . The phase space is divided into several domains, where after appropriate normalization, the partition function converges in law to the stable distribution. These domains are separated by the critical surfaces, corresponding to transitions from the normal distribution to α-stable with , after to 1-stable, and finally to α-stable with The corresponding phase diagram is the central result of this paper.
Lessons from Non-Abelian Plasma Instabilities in Two Spatial Dimensions

Plasma instabilities can play a fundamental role in quark-gluon plasma equilibration in the high energy (weak coupling) limit. Early simulations of the evolution of plasma instabilities in non-Abelian gauge theory, performed in one spatial dimension, found behavior qualitatively similar to traditional QED plasmas. Later simulations of the fully three-dimensional theory found different behavior, unlike traditional QED plasmas. To shed light on the origin of this difference, we study the intermediate case of two spatial dimensions. Depending on how the 'two-dimensional' theory is formulated, we can obtain either behavior.
Turbulence structure and coherent motion in meandering compound open-channel flows

Meandering compound open-channel flow is of high interest in river engineering and flood disaster. In particular, cross-sectional secondary currents develop significantly associated with an interaction between meandering inbank main-channel flow and straight overbank floodplain flow. These currents promote mass and momentum exchanges between them, as well as sediment transport and bed erosion. Further, organized motions may be generated in the same manner as typical horizontal vortices in straight compound channels. However, there is limited detailed information on the generation process of organized motion and secondary currents. This study focuses on the 3D structure of horizontal coherent motion and its advection property in the channel-transition zone from the straight to meandering compound open-channel flows by using a multi-layer scanning PIV, and compares them with those of continuous meandering channel flows.A strong relation between the horizontal vortices and secondary currents was obtained, resulting in a phenomenological flow model.
Complex Hadamard matrices with noncommutative entries

We axiomatize and study the matrices of type $H\in M_N(A)$, having unitary entries, $H_{ij}\in U(A)$, and whose rows and columns are subject to orthogonality type conditions. Here $A$ can be any $C^*$-algebra, for instance $A=\mathbb C$, where we obtain the usual complex Hadamard matrices, or $A=C(X)$, where we obtain the continuous families of complex Hadamard matrices. Our formalism allows the construction of a quantum permutation group $G\subset S_N^+$, whose structure and computation is discussed here.
Pair production of doubly charged scalars: Neutrino mass constraints and signals at the CERN LHC

We study the pair production of doubly charged Higgs bosons at the CERN Large Hadron Collider (LHC), assuming the doubly charged Higgs to be part of an SU(2){sub L} triplet which generates Majorana masses for left-handed neutrinos. Such pair production has the advantage that it is not constrained by the triplet vacuum expectation value, which tends to make the single production rate rather small. We point out that, in addition to the Drell-Yan production mechanism, two-photon processes also contribute to H{sup ++}H{sup --} production at a level comparable to the QCD corrections to the Drell-Yan channel. Decays of the doubly charged Higgs into both the l{sup +}l{sup +} and W{sup +}W{sup +} modes are studied in detail to optimize the signal observation over the backgrounds. Doubly charged scalars should be observable at the LHC with 300 fb{sup -1} integrated luminosity in the l{sup {+-}}l{sup {+-}} channel up to the mass range of 1 TeV even with a branching fraction of about 60%, and in the W{sup {+-}}W{sup {+-}} channel up to a mass of 700 GeV. Such a doubly charged Higgs, if it is a member of a triplet that generates neutrino masses, cannot be long-lived on the scale ofmore » collider detectors although it might lead to a displaced secondary vertex during its decay if it is lighter than about 250 GeV. « less
Motion estimation using common spatial frequencies in synthetic aperture imaging

Correlation processing using fully common spatial frequencies of overlapping subapertures is explored for motion estimation between consecutive excitations in multi-element synthetic aperture imaging. Signals derived from the subset of elements representing common spatial frequencies exhibit significantly higher correlation coefficients than those from signals computed using the entire subaperture. In addition, the correlation coefficient decreases linearly with subaperture separation for complete subaperture signals, but remains nearly constant with subaperture separation if only common spatial frequencies are used. Correlation processing using fully common spatial frequencies is tested on experimental rf data acquired from a diffuse scattering phantom using a 3.5 MHz, 128-element transducer array. The results indicate that common spatial frequencies can be used for correlation processing to minimize motion artifacts in synthetic aperture imaging.
Effect of Application of Performance Assessment System Based on E-Performance and Competency on Work Achievement of Structural Employees Through Job Satisfaction as Intervening Variable (Study on Bondowoso Regency Government)

This research is motivated by several gaps or differences in research results with expert opinions, also supported by data on research problems, namely based on the results of employee performance evaluations in 2020 which were less than optimal, where the realization of performance achievements did not reach 90 at the end of the fiscal year. Evaluation data for filling out the E-application Performance shows that as many as 38% or about 900 employees do not fill in e-Kinerja to 100%. So the phenomenon of this research is the lack of effectiveness of employee performance in increasing competence, especially in the use of IT-based e-performance. The purpose of this study was to determine directly or indirectly the effect of evaluating performance based on the e-Kinerja application and employee competence on employee job performance through job satisfaction as an intervening variable on Structural Employees of the Bondowoso Regency Government. The total population of this study was 2,405 employees, while the number of samples was 168 using purposive sampling technique. The analysis technique used is the Structural Equation Model (SEM) using WarpPLS 5.0. The results of data analysis show that e-performance based performance appraisal and employee competence have a significant effect on job satisfaction, (2) e-performance based performance appraisal and employee competence and job satisfaction have a significant effect on employee performance, (2) e-performance based evaluation.