Miracle-dz/UniFAR-FTUs huggingface dataset:
Seed priming with sodium nitroprusside enhances the growth of peanuts (Arachis hypogaea L.) under drought stress

Peanuts are a nutrient-dense legume with high lipid, protein, vitamin and mineral content. Peanut development is harmed by drought stress, particularly during the germination and seedling stages. Finding ways to mitigate the impacts of drought stress will have positive effects on peanut production. Seed priming, a short-gun strategy for modulating the impact of abiotic stressors on agricultural plants, has lately piqued the attention of researchers to instill drought tolerance in important crops. In this study, peanut seeds (VD01-2 cultivar) were used as material to investigate the role of priming with sodium nitroprusside at different concentrations (10, 15, 20 and 25 mg L-1) in preventing the damage of peanuts triggered by drought stress. Morphological, physiological and biochemical changes during the development of peanuts in the drought stress condition were analyzed. The results show that moderate drought stress (60% of field capacity) reduced germination and seedling growth. Drought stress reduced relative water content, photosynthesis, and the content of chlorophyll and starch significantly over the control. Seed priming with 20 mg L-1 sodium nitroprusside was effective in increasing these above mentioned growth parameters. Further, the priming of 20 mg L-1 sodium nitroprusside enhanced respiration rate and carotenoid, soluble sugar and proline content compared to the control.
Continuity properties of weakly monotone Orlicz–Sobolev functions

Abstract The notion of weakly monotone functions extends the classical definition of monotone function, that can be traced back to Lebesgue. It was introduced, in the framework of Sobolev spaces, by Manfredi, in connection with the analysis of the regularity of maps of finite distortion appearing in the theory of nonlinear elasticity. Diverse authors, including Iwaniecz, Kauhanen, Koskela, Maly, Onninen, Zhong, thoroughly investigated continuity properties of monotone functions in the more general setting of Orlicz–Sobolev spaces, in view of the analysis of continuity, openness and discreteness properties of maps under minimal integrability assumptions on their distortion. The present paper complements and augments the available Orlicz–Sobolev theory of weakly monotone functions. In particular, a variant is proposed in a customary condition ensuring the continuity of functions from this class, which avoids a technical additional assumption, and applies in certain situations when the latter is not fulfilled. The continuity outside sets of zero Orlicz capacity, and outside sets of (generalized) zero Hausdorff measure are also established when everywhere continuity fails.
Nilspaces, nilmanifolds and their morphisms

Recent developments in ergodic theory, additive combinatorics, higher order Fourier analysis and number theory give a central role to a class of algebraic structures called nilmanifolds. In the present paper we continue a program started by Host and Kra. We introduce nilspaces as structures satisfying a variant of the Host-Kra axiom system for parallelepiped structures. We give a detailed structural analysis of abstract and compact topological nilspaces. Among various results it will be proved that compact nilspaces are inverse limits of finite dimensional ones. Then we show that finite dimensional compact connected nilspaces are nilmanifolds. The theory of compact nilspaces is a generalization of the theory of compact abelian groups. This paper is the main algebraic tool in the second authors approach to Gowers's uniformity norms and higher order Fourier analysis.
Predictors of becoming not in education, employment or training: A dynamic comparison of the direct and indirect determinants

This paper uses a dynamic latent factor model to investigate the determinants of not in education, employment or training (NEET) status among adolescents in the United Kingdom. We bring together within one framework various determinants of NEET status, such as educational achievements, non‐cognitive skills, family socio‐economic factors, aspirations, mental health and local labour market conditions. We model the educational progress over multiple periods through the life of the young person, up to the completion of compulsory schooling. By taking into account this progression, we can determine the direct and indirect impacts of different determinants of NEET status, and the stage in the life of the young person at which each determinant is important. Our findings suggest that cognitive ability (as measured by educational achievements) remains the key predictor of NEET status. Further, while a range of individual and family factors determines NEET status, the impact of most of these factors is largely indirect, through ability formation and not necessarily direct. To gauge the relative contributions of various determinants, we conduct simulations to predict the probability of the young person being NEET under different scenarios and assumptions. The exercise indicates that the effects of aspirations of the young person, their school engagement, and the local youth unemployment rate on the likelihood of the young person being NEET are as large as boosting their cognitive skills.
Adaptive Douglas-Rachford Splitting Algorithm for the Sum of Two Operators

The Douglas-Rachford algorithm is a classical and powerful splitting method for minimizing the sum of two convex functions and, more generally, finding a zero of the sum of two maximally monotone operators. Although this algorithm is well understood when the involved operators are monotone or strongly monotone, the convergence theory for weakly monotone settings is far from being complete. In this paper, we propose an adaptive Douglas-Rachford splitting algorithm for the sum of two operators, one of which is strongly monotone while the other one is weakly monotone. With appropriately chosen parameters, the algorithm converges globally to a fixed point from which we derive a solution of the problem. When one operator is Lipschitz continuous, we prove global linear convergence, which sharpens recent known results.
Modularity of solvable Artin representations of GO(4)-type

This is an updated version of ANT-0253. Let F be a number field with absolute Galois group G. We associate, to each continuous, solvable C-representation of G of GO(4)-type, an automorphic form P of GL(4)/F with the same L-function. As a consequence we exhibit an infinite class of primitive, 16-dimensional representations for which the Artin conjecture holds.
Integral theory for Hopf Algebroids

The theory of integrals is used to analyse the stru ture of Hopf algebroids [1, 6℄. We prove that the total algebra of a Hopf algebroid is a separable extension of the base algebra if and only if it is a semi-simple extension and if and only if the Hopf algebroid possesses a normalized integral. The total algebra of a (cid:28)nitely generated and proje tive Hopf algebroid is a Frobenius extension of the base algebra if and only if the Hopf algebroid possesses a non-degenerate integral. We give also a su(cid:30) ient and ne essary ondition in terms of integrals, under whi h it is a quasi-Frobenius extension, and illustrate by an example that this ondition does not hold true in general. Our results are generalizations of lassi al results on Hopf algebras [20, 28℄.
Spillover effects of the US stock market and the predictability of returns: international evidence based on daily data

ABSTRACT This paper investigates the spillover effect of lagged US daily returns on stock return predictability across 17 developed markets from January 1st, 1972 through August 31st, 2022. Using daily returns series, we find that lagged US returns is a superior predictor for future returns in international markets while including the lagged domestic returns and considering US negative or extreme returns. The predictive power of lagged US daily returns, nonetheless, substantially weakens during the recent COVID period. Our results imply that the degrees of stock return predictability and spillovers across markets are driven by the evolutionary market conditions, the channels of information transmission, and information leadership.
Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance

In this paper we investigate the sensitivity of the LWR model on network to its parameters and to the network itself. The quantification of sensitivity is obtained by measuring the Wasserstein distance between two LWR solutions corresponding to different inputs. To this end, we propose a numerical method to approximate the Wasserstein distance between two density distributions defined on a network. We found a large sensitivity to the traffic distribution at junctions, the network size, and the network topology.
The tacnode kernel: equality of Riemann-Hilbert and Airy resolvent formulas

We study nonintersecting Brownian motions with two prescribed starting and ending positions, in the neighborhood of a tacnode in the time-space plane. Several expressions have been obtained in the literature for the critical correlation kernel $K\tac(x,y)$ that describes the microscopic behavior of the Brownian motions near the tacnode. One approach, due to Kuijlaars, Zhang and the author, expresses the kernel (in the single time case) in terms of a $4\times 4$ matrix valued Riemann-Hilbert problem. Another approach, due to Adler, Ferrari, Johansson, van Moerbeke and Vet\H o in a series of papers, expresses the kernel in terms of resolvents and Fredholm determinants of the Airy integral operator acting on a semi-infinite interval $[\sigma,\infty)$, involving some objects introduced by Tracy and Widom. In this paper we prove the equivalence of both approaches. We also obtain a rank-2 property for the derivative of the tacnode kernel. Finally, we find a Riemann-Hilbert expression for the multi-time extended tacnode kernel.
Scattering in the weighted $L^2$-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity

We investigate the defocusing inhomogeneous nonlinear Schr\"odinger equation $$ i \partial_tu + \Delta u = |x|^{-b} \left({\rm e}^{\alpha|u|^2} - 1- \alpha |u|^2 \right) u, \quad u(0)=u_0, \quad x \in \mathbb{R}^2, $$ with $0<b<1$ and $\alpha=2\pi(2-b)$. First we show the decay of global solutions by assuming that the initial data $u_0$ belongs to the weighted space $\Sigma(\mathbb{R}^2)=\{\,u\in H^1(\mathbb{R}^2) \ : \ |x|u\in L^2(\mathbb{R}^2)\,\}$. Then we combine the local theory with the decay estimate to obtain scattering in $\Sigma$ when the Hamiltonian is below the value $\frac{2}{(1+b)(2-b)}$.
Eternal Family Trees and dynamics on unimodular random graphs

This paper is centered on covariant dynamics on unimodular random graphs and random networks, namely maps from the set of vertices to itself which are preserved by graph or network isomorphisms. Such dynamics are referred to as vertex-shifts here. The first result of the paper is a classification of vertex-shifts on unimodular random networks. Each such vertex-shift partitions the vertices into a collection of connected components and foils. The latter are discrete analogues the stable manifold of the dynamics. The classification is based on the cardinality of the connected components and foils. Up to an event of zero probability, there are three classes of foliations in a connected component: F/F (with finitely many finite foils), I/F (infinitely many finite foils), and I/I (infinitely many infinite foils). An infinite connected component of the graph of a vertex-shift on a random network forms an infinite tree with one selected end which is referred to as an Eternal Family Tree. Such trees can be seen as stochastic extensions of branching processes. Unimodular Eternal Family Trees can be seen as extensions of critical branching processes. The class of offspring-invariant Eternal Family Trees, which is introduced in the paper, allows one to analyze dynamics on networks which are not necessarily unimodular. These can be seen as extensions of non-necessarily critical branching processes. Several construction techniques of Eternal Family Trees are proposed, like the joining of trees or moving the root to a far descendant. Eternal Galton-Watson Trees and Eternal Multi-type Galton-Watson Trees are also introduced as special cases of Eternal Family Trees satisfying additional independence properties. These examples allow one to show that the results on Eternal Family Trees unify and extend to the dependent case several well known theorems of the literature on branching processes.
The spectrum of random kernel matrices: universality results for rough and varying kernels

We consider random matrices whose entries are f( ) or f(||Xi-Xj||^2) for iid vectors Xi in R^p with normalized distribution. Assuming that f is sufficiently smooth and the distribution of Xi's is sufficiently nice, El Karoui [17] showed that the spectral distributions of these matrices behave as if f is linear in the Marchenko--Pastur limit. When Xi's are Gaussian vectors, variants of this phenomenon were recently proved for varying kernels, i.e. when f may depend on p, by Cheng and Singer [13]. Two results are shown in this paper: first it is shown that for a large class of distributions the regularity assumptions on f in El Karoui's results can be reduced to minimal; and secondly it is shown that the Gaussian assumptions in Cheng--Singer's result can be removed, answering a question posed in [13] about the universality of the limiting spectral distribution.
An Infinite Suite of Links–Gould Invariants

This paper describes a method to obtain state model parameters for an infinite series of Links–Gould link invariants LGm,n, based on quantum R matrices associated with the representations of the quantum superalgebras Uq[gl(m|n)]. Explicit details of the state models for the cases n=1 and m=1, 2, 3, 4 are supplied. Some gross properties of the link invariants are provided, as well as some explicit evaluations.
DERIVED ALGEBRAIC COBORDISM

We construct a cohomology theory using quasi-smooth derived schemes as generators and an analog of the bordism relation using derived fiber products as relations. This theory has pull-backs along all morphisms between smooth schemes independent of any characteristic assumptions. We prove that, in characteristic zero, the resulting theory agrees with algebraic cobordism as defined by Levine and Morel. We thus obtain a new set of generators and relations for algebraic cobordism.
Impact of Smoking on Oral Health-related Quality of Life

The aim of this study was to assess smoking impact on oral health-related quality of life (OHRQoL). A cross-sectional study was carried out with smokers and non-smokers patients scheduled at a Faculty of Dentistry in Brazil. Sociodemographic data were collected and oral problems impact on quality of life were assessed through “Oral Health Impact Profile-14” (OHIP-14) questionnaire. The World Health Organization criteria were used to assess dental caries and periodontal disease. Data analysis was performed by descriptive and inferential statistics. Two hundred and seven individuals participated in the study, 112 non-smokers and 95 smokers. Most smokers were males (54.25%), the average smoking time was 24.74 ± 14.84 years and 54.72% of them reported smoking more than 11 cigarettes/day. Smokers scored higher values in OHIP-14 (p = 0.026) and in dimensions “functional limitation” (p < 0.001), “psychological discomfort” (p = 0.024) and “psychological disability” (p = 0.047). In addition, smokers had higher percentages of sextants with periodontal pockets (p < 0.001) and moderate to advanced attachment loss (p = 0.029). In short, smokers suffered a greater impact on OHRQoL, in addition to a worse periodontal condition compared to non-smokers.
The Safety of Minimally Invasive and Open Cholecystectomy in Elderly Patients With Acute Cholecystitis: A Systematic Review

Elderly patients with acute cholecystitis (AC) often receive no surgical treatment due to a high number of comorbidities and a high risk of operations. With an increasingly aged population worldwide, this systematic review aims to review the safety of minimally invasive cholecystectomy and open cholecystectomy in this population compared to younger patients. A systematic search was conducted on PubMed, PubMed Central, and Google Scholar databases on July 2, 2022. Articles in the English language published in the last five years with free full text and involving elderly patients with AC treated with minimally invasive and open cholecystectomy were selected. Moreover, a quality assessment was carried out by using each study's most commonly used assessment tools. Initially, the search yielded 1,252 potentially relevant articles. After the final selection process, 11 studies were included: one cross-sectional study, eight cohort studies, one case-control study, and one systematic review with meta-analyses. These studies involved a total of 378,986 participants, with 375,623 elderly patients. In the elderly, cholecystitis severity, decreased physical status, and multiple comorbidities increase the risk of complications with cholecystectomy. In addition, the elderly had more complications, open surgery conversions, biliary tract injuries, leaks, postoperative mortality, and hospital length of stay than younger patients. Nevertheless, minimally invasive cholecystectomy is a viable treatment option for elderly patients when performing a thorough perioperative assessment.
Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger Operator

We prove quantitative unique continuation results for solutions of −Δu + W · ∇u + Vu = λu, where λ ∈ ℂ and V and W are complex-valued decaying potentials that satisfy |V(x)| < ⟨x⟩−N and |W(x)| < ⟨x⟩−P . For M(R) = inf|x 0| = R ‖u‖ L 2(B 1(x 0)), we show that if the solution u is non-zero, bounded, and u(0) = 1, then M(R) ≳ exp(−CR β0 (log R) A(R)), where . Under certain conditions on N, P and λ, we construct examples (some of which are in the style of Meshkov) to prove that this estimate for M(R) is sharp. That is, we construct functions u, V and W such that −Δu + W · ∇u + Vu = λu, |V(x)| < ⟨x⟩−N , |W(x)| < ⟨x⟩−P and |u(x)|
Geometric simplicial embeddings of arc-type graphs

In this paper, we investigate a family of graphs associated to collections of arcs on surfaces. These {\it multiarc graphs} naturally interpolate between arc graphs and flip graphs, both well studied objects in low dimensional geometry and topology. We show a number of rigidity results, namely showing that, under certain complexity conditions, that simplicial maps between them only arise in the "obvious way". We also observe that, again under necessary complexity conditions, subsurface strata are convex. Put together, these results imply that certain simplicial maps always give rise to convex images.
Average characteristic polynomials in the two-matrix model

The two-matrix model is defined on pairs of Hermitian matrices (M1,M2) of size n × n by the probability measure 1Znexp(Tr(−V(M1)−W(M2)+τM1M2))dM1dM2, where V and W are given potential functions and τ∈R. We study averages of products and ratios of characteristic polynomials in the two-matrix model, where both matrices M1 and M2 may appear in a combined way in both numerator and denominator. We obtain determinantal expressions for such averages. The determinants are constructed from several building blocks: the biorthogonal polynomials, pn(x) and qn(y), associated with the two-matrix model; certain transformed functions Pn(w) and Qn(v); and finally Cauchy-type transforms of the four Eynard–Mehta kernels K1,1, K1,2, K2,1, and K2,2. In this way, we generalize known results for the one-matrix model. Our results also imply a new proof of the Eynard–Mehta theorem for correlation functions in the two-matrix model, and they lead to a generating function for averages of products of traces.
Motivated Belief Updating and Rationalization of Information

We study belief updating about relative performance in an ego-relevant task. Manipulating the perceived ego relevance of the task, we show that subjects substantially overweight positive information relative to negative information because they derive direct utility from holding positive beliefs. This finding provides a behavioral explanation why and how overconfidence can evolve in the presence of objective information. Moreover, we document that subjects who receive more negative information downplay the ego relevance of the task. These findings suggest that subjects use two alternative strategies to protect their ego when presented with objective information. This paper was accepted by Marie Claire Villeval, behavioral economics and decision analysis. Funding: The authors gratefully acknowledge financial support from the ExperimenTUM. Supplemental Material: The online appendices and data files are available at https://doi.org/10.1287/mnsc.2023. 02537 .
Polynomial upper bound on interior Steklov nodal sets

We study solutions of uniformly elliptic PDE with Lipschitz leading coefficients and bounded lower order coefficients. We extend previous results of A. Logunov concerning nodal sets of harmonic functions and, in particular, prove polynomial upper bounds on interior nodal sets of Steklov eigenfunctions in terms of the corresponding eigenvalue $ \lambda $.
Local law and complete eigenvector delocalization for supercritical Erdős–Rényi graphs

We prove a local law for the adjacency matrix of the Erdős-Renyi graph $G(N, p)$ in the supercritical regime $ pN \geq C\log N$ where $G(N,p)$ has with high probability no isolated vertices. In the same regime, we also prove the complete delocalization of the eigenvectors. Both results are false in the complementary subcritical regime. Our result improves the corresponding results from [11] by extending them all the way down to the critical scale $pN = O(\log N)$. A key ingredient of our proof is a new family of multilinear large deviation estimates for sparse random vectors, which carefully balance mixed $\ell^2$ and $\ell^\infty$ norms of the coefficients with combinatorial factors, allowing us to prove strong enough concentration down to the critical scale $pN = O(\log N)$. These estimates are of independent interest and we expect them to be more generally useful in the analysis of very sparse random matrices.
Exploring the conditions required to form giant planets via gravitational instability in massive protoplanetary discs

We carry out global three-dimensional radiation hydrodynamical simulations of self-gravitating accretion discs to determine if, and under what conditions, a disc may fragment to form giant planets. We explore the parameter space (in terms of the disc opacity, temperature and size) and include the effect of stellar irradiation. We find that the disc opacity plays a vital role in determining whether a disc fragments. Specifically, opacities that are smaller than interstellar Rosseland mean values promote fragmentation (even at small radii, R < 25 au) since low opacities allow a disc to cool quickly. This may occur if a disc has a low metallicity or if grain growth has occurred. With specific reference to the HR 8799 planetary system, given its star is metal-poor, our results suggest that the formation of its imaged planetary system could potentially have occurred by gravitational instability. We also find that the presence of stellar irradiation generally acts to inhibit fragmentation (since the discs can only cool to the temperature defined by stellar irradiation). However, fragmentation may occur if the irradiation is sufficiently weak that it allows the disc to attain a low Toomre stability parameter.