Miracle-dz/UniFAR-FTUs huggingface dataset:
An empirical study exploring the relationship among human capital innovation, service innovation, competitive advantage and employee productivity in hospitality services

This study intends to examine whether hotels’ human capital innovation initiatives are an important predictor of service innovation performance. For meeting the objectives of the study, the data was collected using a questionnaire from 245 staff members working in an A category hotel’s in Jammu and Kashmir using a non-probability convenience sampling technique. Structured equation modeling was used to test the hypothesis. Results revealed a positive impact of human capital innovation on service innovation. Further, the study found a significant impact of service innovation on employee performance and competitive advantage. The results enriched the knowledge regarding human capital innovation by revealing its influence on the hotel industry’s service innovation performance in the form of competitive advantage. The study also leads to a number of future research directions for researchers as well as academicians. organizational innovation point of view. The outcomes concurred with the resource-based view that innovation is an imperative competency and a source of competitive advantage in service industry. Hence, managers should employ or create unique resources to adjoin to their core competencies which can be diverse and must adjust over time. Our empirical findings provide several important managerial implications. The finding of this study has important implications for the hospitality sector as the competitiveness of hotels is highly influenced by human capital innovation and timely implementation of service innovation. The more they focus on innovating human capital, the more productive results they will get. The current study reveals the significance of human capital innovation in designing and delivering the services so as to provide rewards in the form of improved performance which ultimately leads to competitive advantage for the organization.
Concentration of points on Modular Quadratic Forms

Let $Q(x,y)$ be a quadratic form with discriminant $D\neq 0$. We obtain non trivial upper bound estimates for the number of solutions of the congruence $Q(x,y)\equiv\lambda \pmod{p}$, where $p$ is a prime and $x,y$ lie in certain intervals of length $M$, under the assumption that $Q(x,y)-\lambda$ is an absolutely irreducible polynomial modulo $p$. In particular we prove that the number of solutions to this congruence is $M^{o(1)}$ when $M\ll p^{1/4}$. These estimates generalize a previous result by Cilleruelo and Garaev on the particular congruence $xy\equiv \lambda \pmod{p}$.
The eight-vertex model and Painlevé VI

In this paper we establish a connection of Picard-type elliptic solutions of the Painleve VI equation with the special solutions of the non-stationary Lame equation. The latter appeared in the study of the ground-state properties of Baxter's solvable eight-vertex lattice model at a particular point, η = π/3, of the disordered regime.
Note on maximal estimates of generalized Schrödinger equation

In this study we extend the recent works on the pointwise convergence for the solutions of Schr\"odinger equations based on Du, Guth, and Li and Du and Zhang to generalized Schr\"odinger equations. We establish the associated maximal estimates for a general class of phase functions, which give the pointwise convergence for $f \in H^s(\mathbb R^d)$ whenever $s > \frac{d}{2(d+1)}$.
Cotorsion pairs in categories of quiver representations

We study the category $\mathrm{Rep}(Q,\mathcal{M})$ of representations of a quiver $Q$ with values in an abelian category $\mathcal{M}$. Under certain assumptions, we show that every cotorsion pair $(\mathcal{A},\mathcal{B})$ in $\mathcal{M}$ induces two (explicitly described) cotorsion pairs $(\Phi(\mathcal{A}),\mathrm{Rep}(Q,\mathcal{B}))$ and $(\mathrm{Rep}(Q,\mathcal{A}),\Psi(\mathcal{B}))$ in $\mathrm{Rep}(Q,\mathcal{M})$. This is akin to a result by Gillespie, which asserts that a cotorsion pair $(\mathcal{A},\mathcal{B})$ in $\mathcal{M}$ induces cotorsion pairs $(\widetilde{\mathcal{A}}, \mathrm{dg}\,\widetilde{\mathcal{B}})$ and $(\mathrm{dg}\,\widetilde{\mathcal{A}}, \widetilde{\mathcal{B}})$ in the category $\mathrm{Ch}(\mathcal{M})$ of chain complexes in $\mathcal{M}$. Special cases of our results recover descriptions of the projective and injective objects in $\mathrm{Rep}(Q,\mathcal{M})$ proved by Enochs, Estrada, and Garcia Rozas.
Intangible Capital and Firm-Level Productivity – Evidence from Germany

This paper analyses the impact of intangible capital on firm-level productivity for Germany using panel data from the Community Innovation Survey for the time period 2006 to 2018. Our paper presents three novel results. First, we find a highly significant positive relationship between intangible capital and firm-level productivity with elasticities overall in line with previous findings reported for other large EU economies. Second, our results show that both manufacturing and services are highly intangible-capital intensive, and that intangibles have a greater impact on firm-level productivity in services –particular in the business services sector. Third, our results show that intangible capital investments in German firms are equal to investments in tangible capital since the early 2000s. Overall, the evidence presented in our paper indicates that Germany – in line with other advanced economies – has undergone a structural transition into a knowledge economy in which intangibles act as an important driver of firm-level productivity. by German firms have been equal to those in tangible capital throughout our 13-year time period from 2006-2018. We show that our micro-evidence contrasts with patterns in intangible capital investments for Germany derived from the industry and macro-level databases such the INNODRIVE (Roth and Thum 2013) and the EU-KLEMS (Stehrer et al. 2019). This calls into question whether intangible capital is being measured validly in these databases, and whether the intangibles that have not been incorporated into the national accounts would need to be constructed from micro-data, as proposed by the GLOBALINTO project (GLOBALINTO 2019). Our findings justify future research along these lines.
Automated Neutrino Jet and Top Jet Predictions at Next-to-Leading-Order with Parton Shower Matching in Effective Left-Right Symmetric Models

Hadronic decays of boosted resonances, e.g., top quark jets, at hadronic super colliders are frequent predictions in TeV-scale extensions of the Standard Model of Particle Physics. In such scenarios, accurate modeling of QCD radiation is necessary for trustworthy predictions. We present the automation of fully differential, next-to-leading-order (NLO) in QCD corrections with parton shower (PS) matching for an effective Left-Right Symmetric Model (LRSM) that features $W_R^\pm, Z_R$ gauge bosons and heavy Majorana neutrinos $N$. Publicly available universal model files require remarkably fewer user inputs for predicting benchmark collider processes than leading order LRSM constructions. We present predictions for inclusive $W_R^\pm, Z_R$ production at the $\sqrt{s} = 13$ TeV Large Hadron Collider (LHC) and a hypothetical future 100 TeV Very Large Hadron Collider (VLHC), as well as inclusive $N$ production for a hypothetical Large Hadron Electron Collider (LHeC). As a case study, we investigate at NLO+PS accuracy the properties of heavy neutrino (color-singlet) jets and top quark (color-triplet) jets from decays of high-mass $W_R$ bosons at the LHC. Contrary to top jets, we find that the kinematic properties of heavy neutrinos jets, and in particular jet mass, are resilient against the effects of parton showers and hard QCD radiation. This suggests that in searches for neutrino jets, aggressive selection cuts that would otherwise be inappropriate for top jets can be imposed with minimal signal loss.
Smoothness of stable holonomies inside center-stable manifolds

Abstract Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for $C^{1+\beta }$ diffeomorphisms are uniformly bi-Lipschitz and, in fact, $C^{1+\mathrm {H}\ddot{\rm o}\mathrm {lder}}$ . This verifies the ergodicity of suitably center-bunched, essentially accessible, partially hyperbolic $C^{1+\beta }$ diffeomorphisms and verifies that the Ledrappier–Young entropy formula holds for $C^{1+\beta }$ diffeomorphisms of compact manifolds.
Quantum variance on quaternion algebras, II

A method for determining quantum variance asymptotics on compact quotients attached to non-split quaternion algebras is developed in general and applied to “microlocal lifts” in the non-archimedean setting. The results obtained are in the spirit of recent work of Sarnak–Zhao. The arguments involve a careful analytic study of the theta correspondence, the interplay between additive and multiplicative harmonic analysis on quaternion algebras, the equidistribution of translates of elementary theta functions, and the Rallis inner product formula.
On Dℓ ‐extensions of odd prime degree ℓ

Generalizing the work of Morra and the authors, we give explicit formulas for the Dirichlet series generating function of Dℓ ‐extensions of odd prime degree ℓ with given quadratic resolvent. Over the course of our proof, we explain connections between our formulas and the Ankeny–Artin–Chowla conjecture, the Ohno–Nakagawa relation for binary cubic forms, and other topics. We also obtain improved upper bounds for the number of such extensions (over Q ) of bounded discriminant.
Logic Synthesis for Fault-Tolerant Quantum Computers

Efficient constructions for quantum logic are essential since quantum computation is experimentally challenging. This thesis develops quantum logic synthesis as a paradigm for reducing the resource overhead in fault-tolerant quantum computing. The model for error correction considered here is the surface code. After developing the theory behind general logic synthesis, the resource costs of magic-state distillation for the $T = \exp(i \pi (I-Z)/8)$ gate are quantitatively analyzed. The resource costs for a relatively new protocol distilling multi-qubit Fourier states are calculated for the first time. Four different constructions of the fault-tolerant Toffoli gate, including two which incorporate error detection, are analyzed and compared. The techniques of logic synthesis reduce the cost of fault-tolerant quantum computation by one to two orders of magnitude, depending on which benchmark is used. Using resource analysis for $T$ gates and Toffoli gates, several proposals for constructing arbitrary quantum gates are compared, including "Clifford+$T$" sequences, $V$-basis sequences, phase kickback, and programmable ancilla rotations. The application of arbitrary gates to quantum algorithms for simulating chemistry is discussed as well. Finally, the thesis examines the techniques which lead to efficient constructions of quantum logic, and these observations point to even broader applications of logic synthesis.
Asymptotic Formulas for Macdonald Polynomials and the boundary of the $(q, t)$-Gelfand-Tsetlin graph

We introduce Macdonald characters and use algebraic properties of Macdonald polynomials to study them. As a result, we produce several formulas for Macdonald characters, which are generalizations of those obtained by Gorin-Panova in arXiv:1301.0634 [math.PR], and are expected to provide tools for the study of statistical mechanical models, representation theory and random matrices. As first application of our formulas, we characterize the boundary of the $(q, t)-$deformation of the Gelfand-Tsetlin graph.
Garden of Eden and specification

We establish a Garden of Eden theorem for expansive algebraic actions of amenable groups with the weak specification property, i.e. for any continuous equivariant map $T$ from the underlying space to itself, $T$ is pre-injective if and only if it is surjective. In particular, this applies to all expansive principal algebraic actions of amenable groups and expansive algebraic actions of $\mathbb{Z}^{d}$ with completely positive entropy.
Uniform analysis on local fields and applications to orbital integrals

We study upper bounds, approximations, and limits for functions of motivic exponential class uniformly in non-Archimedean local fields whose characteristic is 0 0 or sufficiently large. Our results together form a flexible framework for doing analysis over local fields in a field-independent way. As corollaries, we obtain many new transfer principles, for example, for local constancy, continuity, and existence of various kinds of limits. Moreover, we show that the Fourier transform of an L 2 L^2 -function of motivic exponential class is again of motivic exponential class. As an application in representation theory, we prove uniform bounds for the Fourier transforms of orbital integrals on connected reductive p p -adic groups.
A few $c_2$ invariants of circulant graphs

The $c_2$ invariant is an arithmetic graph invariant introduced by Schnetz and developed by Brown and Schnetz in order to better understand Feynman integrals. This document looks at the special case where the graph in question is a 4-regular circulant graph with one vertex removed; call such a graph a decompletion of a circulant graph. The $c_2$ invariant for the prime $2$ is computed in the case of the decompletion of circulant graphs $C_n(1,3)$ and $C_{2k+2}(1,k)$. For any prime $p$ and for the previous two families of circulant graphs along with the further families $C_n(1,4)$, $C_n(1,5)$, $C_n(1,6)$, $C_n(2,3)$, $C_n(2,4)$, $C_n(2,5)$, and $C_n(3,4)$, the same technique gives the $c_2$ invariant of the decompletions as the solution to a finite system of recurrence equations.
Unconditionally optimal error analysis of fully discrete Galerkin methods for general nonlinear parabolic equations

The paper focuses on unconditionally optimal error analysis of the fully discrete Galerkin finite element methods for a general nonlinear parabolic system in $\R^d$ with $d=2,3$. In terms of a corresponding time-discrete system of PDEs as proposed in \cite{LS1}, we split the error function into two parts, one from the temporal discretization and one the spatial discretization. We prove that the latter is $\tau$-independent and the numerical solution is bounded in the $L^{\infty}$ and $W^{1,\infty}$ norms by the inverse inequalities. With the boundedness of the numerical solution, optimal error estimates can be obtained unconditionally in a routine way. Several numerical examples in two and three dimensional spaces are given to support our theoretical analysis.
Tidal-induced lopsidedness in Magellanic-type galaxies

We investigate the tidally-induced conversion of barred late-type spirals to Magellanic-type discs with numerical simulations, to establish how the lifetime of lopsidedness (asymmetry) varies with numerical parametrizations. Using a reference model based on observed properties of the Large Magellanic Cloud (LMC), we show that its off-centre bar, one-arm spiral and one-sided star formation can be induced by a brief tidal interaction. We thereafter perform a detailed parameter study, and find that at the dynamical mass of LMC-type discs ($\sim$10$^{\rm 10}$ \md{}), stellar lopsidedness (as quantified by the m$=$1 Fourier mode) and bar off-centredness can vary widely in amplitude, but are generally short-lived ($\sim$Gyr). Tidal interactions induce more persistent lopsidedness in lower mass galaxies (several Gyr), in particular those with large halo-to-disc mass ratios as implied by recent halo occupation models. We suggest that the tidal interactions play a larger role in the observed ubiquity of lopsidedness than the presently favoured gas accretion mechanism for lower mass galaxies. Other characteristics of Magellanic-type galaxies, such as one-sided star formation, are quantified and tend to arise more prominently in discs with later-type spiral structure (more halo dominated inner disc, weaker bars) following retrograde orbital encounters.
Spectral methods for Langevin dynamics and associated error estimates

We prove the consistency of Galerkin methods to solve Poisson equations where the differential operator under consideration is the generator of the Langevin dynamics. We show in particular how the hypocoercive nature of this operator can be used at the discrete level to first prove the invertibility of the rigidity matrix, and next provide error bounds on the approximation of the solution of the Poisson equation. We present general convergence results in an abstract setting, as well as explicit convergence rates for a simple one-dimensional example discretized using a tensor basis. Our theoretical findings are illustrated by numerical simulations.
THE STANDARDIZED CANDLE METHOD FOR TYPE II PLATEAU SUPERNOVAE

In this paper, we study the “standardized candle method” using a sample of 37 nearby (redshift z < 0.06) Type II plateau supernovae having BVRI photometry and optical spectroscopy. An analytic procedure is implemented to fit light curves, color curves, and velocity curves. We find that the V−I color toward the end of the plateau can be used to estimate the host-galaxy reddening with a precision of σ(AV) = 0.2 mag. The correlation between plateau luminosity and expansion velocity previously reported in the literature is recovered. Using this relation and assuming a standard reddening law (RV = 3.1), we obtain Hubble diagrams (HDs) in the BVI bands with dispersions of ∼0.4 mag. Allowing RV to vary and minimizing the spread in the HDs, we obtain a dispersion range of 0.25–0.30 mag, which implies that these objects can deliver relative distances with precisions of 12%–14%. The resulting best-fit value of RV is 1.4 ± 0.1.
Dynamics of Global and Organizational Self-Esteem at Work

ABSTRACT Self-esteem represents one of the most important workers’ resources, and has been studied from two different perspectives conceiving self-esteem (1) as a global (i.e., global self-esteem, GSE), or (2) as a domain-specific construct (i.e., organization-based self-esteem, OBSE). To our knowledge, no study has addressed the dynamic relations between these two different self-esteem expressions and their concurrent value as useful work-related personal resources. In this study, we addressed this issue using six-wave longitudinal data weekly gathered from N = 279 full-time workers. We privileged the analysis of the dynamic relationships between GSE and OBSE at the state level, with a close eye on their different impacts on important organizational outcomes. Results from Random Intercept Cross-Lagged Panel models revealed that GSE and OBSE did not predict each other over time, despite being concurrently closely associated within each wave. The same close relation between GSE and OBSE was observed at a trait level. Importantly, rigorous concurrent predictive models revealed that neither GSE nor OBSE predicted or were predicted by the outcomes considered in the present study (i.e., job satisfaction and work engagement). We deeply discussed the implications of these results for refining our understanding of the value of these important self-esteem expressions at work.
Fertility, economic incentives and individual heterogeneity: Register data‐based evidence from France and Germany

This study demonstrates the importance of accounting for correlated unobserved heterogeneity to correctly identify the relevance of career and education for fertility decisions. By exploiting individual‐level life‐cycle information on fertility, career and education from large administrative longitudinal datasets, this paper shows that non‐linear panel models produce substantially different results than the cross‐sectional approaches widely used in previous studies. Higher opportunity costs of having children are found to be associated with lower fertility within a country, while the magnitude of the adjustment differs strongly across countries. In Germany, fertility decisions are found to depend more on individual circumstances than in France, where better public childcare support enhances the compatibility between family and professional life.
Analysis of Multi-Index Monte Carlo Estimators for a Zakai SPDE

In this article, we propose a space-time Multi-Index Monte Carlo (MIMC) estimator for a one-dimensional parabolic stochastic partial differential equation (SPDE) of Zakai type. We compare the complexity with the Multilevel Monte Carlo (MLMC) method of Giles and Reisinger (2012), and find, by means of Fourier analysis, that the MIMC method: (i) has suboptimal complexity of $O(\varepsilon^{-2}|\log\varepsilon|^3)$ for a root mean square error (RMSE) $\varepsilon$ if the same spatial discretisation as in the MLMC method is used; (ii) has a better complexity of $O(\varepsilon^{-2}|\log\varepsilon|)$ if a carefully adapted discretisation is used; (iii) has to be adapted for non-smooth functionals. Numerical tests confirm these findings empirically.
Direct inversion for the equivalent pore aspect ratio based on the theory of ellipsoid modelling

Pore aspect ratio, together with porosity, is a structural parameter that represents the geometric property of rock reservoirs. We have adopted the theory of ellipsoid modelling in material mechanics to derive the dry rock modulus. Based on this derivation, the Gassmann equation, which is a constitutional equation for a fully saturated rock model, can be linearized in terms of the pore structure parameters and the elastic parameters. We have established a relationship between the seismic reflection coefficient and the pore structure parameters, where the equivalent pore aspect ratio and porosity are two key parameters. Based on this relationship, the equivalent pore aspect ratio can be inverted directly from seismic reflection data instead of being converted from the intermediate parameters of conventional seismic inversion. Therefore, seismic inversion is a simultaneous inversion in which seven parameters are inverted: the elastic moduli (matrix bulk modulus and shear modulus, fluid bulk modulus), the densities (matrix and fluid densities) and the pore structure parameters (the equivalent pore aspect ratio and porosity). We applied this direct inversion scheme to a carbonate reservoir to predict the fracture development zone with low porosity and low aspect ratio.