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The third-order law links energy transfer rates in the inertial range of magneto- hydrodynamic (MHD) turbulence with third-order structure functions. Anisotropy, a typical property in the solar wind, challenges the applicability of the third-order law with the isotropic assumption. To shed light on the energy transfer process in the presence of anisotropy, we conducted direct numerical simulations of forced MHD turbulence with normal and hyper-viscosity under various strengths of the external magnetic field ($B_0$), and calculated three forms of third-order structure function with or without averaging of the azimuthal or polar angles with respect to $B_0$ direction. Correspondingly, three estimated energy transfer rates were obtained. The result shows that the peak of normalized third-order structure function occurs at larger scales closer to the $B_0$ direction, and the maximum of longitudinal transfer rates shifts away from the $B_0$ direction at larger $B_0$. Compared with normal viscous cases, hyper-viscous cases can attain better separated inertial range, thus facilitating the estimation of the energy cascade rates. We find that the widespread use of the isotropic form of the third-order law in estimating the energy transfer rates is questionable in some cases, especially when the anisotropy arising from the mean magnetic field is inevitable. In contrast, the direction-averaged third-order structure function properly accounts for the effect of anisotropy and predicts the energy transfer rates and inertial range accurately, even at very high $B_0$. With limited statistics, the third-order structure function shows a stronger dependence on averaging of azimuthal angles than the time, especially for high $B_0$ cases. These findings provide insights into the anisotropic effect on the estimation of energy transfer rates.
As a multi-faceted socio-political movement in twentieth-century China, the Cultural Revolution (1966–1976) witnessed conflict and social upheaval. This paper investigates its economic legacies, exploiting geographic variation in revolutionary intensity, measured by the number of resulting deaths. Using a newly assembled county-level panel dataset over five decades, we find worse-affected areas performed slightly better at baseline, but were slower to industrialize. This effect was large in the early 1980s before diminishing to become insignificant by 2000. Using individual-level census data, we find more-exposed cohorts are less likely to obtain higher education degrees and to work in professional and entrepreneurial occupations.
This article explores the terms “BRI dispute” and “BRI jurisprudence”. It undertakes a practical and theoretical analysis that considers whether “BRI disputes” have distinct and visible characteristics and are capable of being identified in a legal sense. This is important since practitioners – arbitration centres and law firms – use the term broadly and without specific criteria. By exploring the customary usage and the approach of legal scholars to the term, presenting examples of “BRI disputes” and examining their unique features, and constructing a theoretical approach (utilizing the concepts of ratione materiae, ratione loci, ratione temporis, and ratione personae; and considering the jurisprudence of the ICSID), this article moves from a broad to a narrow analysis to develop both a definition and a system of registration of “BRI disputes” for use by academics, practitioners, and policymakers.
To what extent has the glass ceiling in global governance been shattered? To answer this question, we need to look beyond the numbers on women’s representation and study how far women are perceived as inspiring and visionary leaders in global governance. This article offers an analysis of perceptions of inspiring and visionary leadership in global multistakeholder initiatives from a gender perspective. Based on 467 interviews with participants in a leading multistakeholder initiative, the Internet Corporation for Assigned Names and Numbers (ICANN), it presents four findings: (1) respondents identify more men than women as inspiring and visionary leaders, with the difference roughly corresponding to the share of women in leadership roles; (2) respondents tend to ascribe more leadership attributes to women than to men when explaining why they find them inspiring and visionary; (3) both feminine and masculine leadership traits are appreciated in relation to both men and women leaders at ICANN; (4) female respondents identify more women as inspiring and visionary leaders than male respondents. These findings contribute novel insights into gendered perceptions around leadership and the importance of role models in global governance. They also shed much-needed light on the demands and expectations from leadership in global multistakeholder arrangements.
Let $G$ be a compact Abelian group and $E$ a subset of the group $\widehat {G}$ of continuous characters of $G$. We study Arens regularity-related properties of the ideals $L_E^1(G)$ of $L^1(G)$ that are made of functions whose Fourier transform is supported on $E\subseteq \widehat {G}$. Arens regularity of $L_E^1(G)$, the centre of $L_E^1(G)^{\ast \ast }$ and the size of $L_E^1(G)^\ast /\mathcal {WAP}(L_E^1(G))$ are studied. We establish general conditions for the regularity of $L_E^1(G)$ and deduce from them that $L_E^1(G)$ is not strongly Arens irregular if $E$ is a small-2 set (i.e. $\mu \ast \mu \in L^1(G)$ for every $\mu \in M_E^1(G)$), which is not a $\Lambda (1)$-set, and it is extremely non-Arens regular if $E$ is not a small-2 set. We deduce also that $L_E^1(G)$ is not Arens regular when $\widehat {G}\setminus E$ is a Lust-Piquard set.
We show that a certain category of bimodules over a finite-dimensional quiver algebra known as a type B zigzag algebra is a quotient category of the category of type B Soergel bimodules. This leads to an alternate proof of Rouquier’s conjecture on the faithfulness of the 2-braid groups for type B.
In this paper, we address two boundary cases of the classical Kazdan–Warner problem. More precisely, we consider the problem of prescribing the Gaussian and boundary geodesic curvature on a disk of $\mathbb {R}^2$, and the scalar and mean curvature on a ball in higher dimensions, via a conformal change of the metric. We deal with the case of negative interior curvature and positive boundary curvature. Using a Ljapunov–Schmidt procedure, we obtain new existence results when the prescribed functions are close to constants.
This linguistic ethnographic study offers a nuanced pedagogical account of the Arabic term sumud, or ‘steadfastness’, through a sociolinguistic analysis of decolonial modes of expression among Palestinian youth in Israel. I reflect on events during the 2021 uprisings in East Jerusalem, when Palestinian youth within Israel took to the streets in solidarity with Palestinians in Jerusalem and Gaza. Considering the Israeli education system's denationalization of the Palestinian community within its borders, I examine how Palestinian political ideals cultivated outside the formal educational system open new possibilities for political organizing and expression. I reflect upon interviews with members of the Haifa Youth Movement and a Palestinian hip-hop artist and his lyrics. Engaging with Stroud's theorization of linguistic citizenship, I show how pedagogy of sumud as a linguistic citizenship practice opens new semiotic spaces for Palestinian youth in Israel to resist the erasure of their identity. (Linguistic citizenship, sumud pedagogy, Palestinian youth, colonized education)*
We confirm prior evidence that bonds on average are offered at prices below their immediate post-offer secondary market prices. However, in cases where banks lead–manage their own bond offerings the underpricing is significantly less as compared with other non-self-marketed offerings. These findings are robust across various matched samples and selection models. Our results suggest that the bond offering process is characterized by substantive agency conflicts between shareholders of corporations (issuers) and underwriters.
During and after the First World War, the United States provided very substantial amounts of humanitarian and economic aid to war-torn Europe. All compassion aside, international historians have long recognised the strategic and social expectations attached to such foreign aid. US generosity was to build trust, reverence and influence abroad and, by inspiring ‘gratitude’ among recipients, to translate into a foreign policy advantage. But what happened when these expectations were disappointed? This article looks at transatlantic relations after the First World War to explore the role of gratitude in interwar international politics. It shows just how difficult it often was for Europeans to be appropriately ‘grateful’ and how emotionally the US public could react to such displays of perceived ‘ingratitude’. US aid – and the expectations and obligations that came with it – could excite distrust and resentment on both sides of the Atlantic.
The design and development of a microstrip-based planar ultra-wideband (UWB) bandpass filter (BPF) with single/multiple interference rejection capability is presented. The proposed BPF structure is developed based on the broadside coupled mechanism of microstrip/coplanar waveguide (CPW). The BPF has microstrips and short-circuited CPW capacitively coupled through the substrate. The basic frequency response generated from this geometry covers the necessary UWB spectrum (3.1–10.6 GHz) and possesses appreciable characteristics due to dual transmission zeros at either passband boundary. Multiple resonators are embedded in the basic BPF structure to develop passband notches to circumvent unnecessary interferences. A low-pass filter is later integrated into geometry to extend the upper stopband. The proposed structure is compact and covers an area of only 14 × 11.4 mm2.
We use the dual functional realization of loop algebras to study the prime irreducible objects in the Hernandez–Leclerc (HL) category for the quantum affine algebra associated with $\mathfrak {sl}_{n+1}$. When the HL category is realized as a monoidal categorification of a cluster algebra (Hernandez and Leclerc (2010, Duke Mathematical Journal 154, 265–341); Hernandez and Leclerc (2013, Symmetries, integrable systems and representations, 175–193)), these representations correspond precisely to the cluster variables and the frozen variables are minimal affinizations. For any height function, we determine the classical decomposition of these representations with respect to the Hopf subalgebra $\mathbf {U}_q(\mathfrak {sl}_{n+1})$ and describe the graded multiplicities of their graded limits in terms of lattice points of convex polytopes. Combined with Brito, Chari, and Moura (2018, Journal of the Institute of Mathematics of Jussieu 17, 75–105), we obtain the graded decomposition of stable prime Demazure modules in level two integrable highest weight representations of the corresponding affine Lie algebra.
In this paper, we time-change the generalized counting process (GCP) by an independent inverse mixed stable subordinator to obtain a fractional version of the GCP. We call it the mixed fractional counting process (MFCP). The system of fractional differential equations that governs its state probabilities is obtained using the Z transform method. Its one-dimensional distribution, mean, variance, covariance, probability generating function, and factorial moments are obtained. It is shown that the MFCP exhibits the long-range dependence property whereas its increment process has the short-range dependence property. As an application we consider a risk process in which the claims are modelled using the MFCP. For this risk process, we obtain an asymptotic behaviour of its finite-time ruin probability when the claim sizes are subexponentially distributed and the initial capital is arbitrarily large. Later, we discuss some distributional properties of a compound version of the GCP.
Cross sections of coal prices in England for 1695, 1795, and 1842 are used to infer transportation rates by sea, river, canal, and road. The effectiveness of monopolies, the degree of market integration, and the patterns of regional supply of each mining district are then established. The growth rates of productivity in sea, river, and road transport from 1695–1842 are computed and combined with a social savings assessment of canals to measure the overall growth in the productivity of shipping coal. Productivity growth was substantial but had a surprisingly limited impact on the geography of production and consumption.
To alleviate the growth inhibition, and intestinal damage of Chinese mitten crab (Eriocheir sinensis) induced by low fishmeal diets (LF), an 8-week feeding trial was conducted to evaluate the addition of dietary soybean-derived bioactive peptides (SBP) in LF diets on the regulation of growth, digestion and intestinal health. The crabs were fed isonitrogenous and isoenergetic conventional diet and LF diets (10 % fishmeal replaced by soybean meal, LF) supplemented with 0, 1 %, 2 %, 4 % and 6 % SBP, respectively. The results showed that LF diet inhibited growth while inclusion of SBP quadratically remitted the growth inhibition induced by LF. For digestive function, increasing addition level of SBP quadratically improved the α-amylase and trypsin activities. For antioxidant function, LF group significantly increased the malondialdehyde content, while SBP linearly decreased the malondialdehyde level and cubically increased the anti-superoxide anion activity and total antioxidant capacity level. For intestinal health, the peritrophic membrane (PM) almost completely separated from the inner wall of the intestinal lumen, the epithelial cells reduced, the muscularis became thinner and the apoptotic signals increased in LF group; with SBP addition, the intestinal morphology was improved, with the PM adhering to the inner wall of the intestinal lumen, an increase in the number of epithelial cells and an increase in the thickness of the muscularis. Additionally, there was a decrease in apoptotic signals. Dietary SBP also increased the expression of PT and Crustin1 quadratically and decreased the expression of ALF1 linearly, ALF3 and ILF2 quadratically.
We find closed formulas for arbitrarily high mixed moments of characteristic polynomials of the Alternative Circular Unitary Ensemble, as well as closed formulas for the averages of ratios of characteristic polynomials in this ensemble. A comparison is made to analogous results for the Circular Unitary Ensemble. Both moments and ratios are studied via symmetric function theory and a general formula of Borodin-Olshanski-Strahov.