We describe two kinds of regular invariant measures on the boundary path space $\partial E$ of a second countable topological graph E, which allows us to describe all extremal tracial weights on $C^{*}(E)$ which are not gauge-invariant. Using this description, we prove that all tracial weights on the C$^{*}$-algebra $C^{*}(E)$ of a second countable topological graph E are gauge-invariant when E is free. This in particular implies that all tracial weights on $C^{*}(E)$ are gauge-invariant when $C^{*}(E)$ is simple and separable.

We obtain the following embedding theorem for symbolic dynamical systems. Let G be a countable amenable group with the comparison property. Let X be a strongly aperiodic subshift over G. Let Y be a strongly irreducible shift of finite type over G that has no global period, meaning that the shift action is faithful on Y. If the topological entropy of X is strictly less than that of Y and Y contains at least one factor of X, then X embeds into Y. This result partially extends the classical result of Krieger when $G = \mathbb {Z}$ and the results of Lightwood when $G = \mathbb {Z}^d$ for $d \geq 2$. The proof relies on recent developments in the theory of tilings and quasi-tilings of amenable groups.

This article explores the characterological metadiscourses through which characters, or figures of personhood, become modeled, evaluated, and enacted during a multi-ethnic, community-inclusive theater project that aims to make the group's ‘joint voice’ heard on stage and in society. Based on ethnographic data and discourse-analytical methods, the article examines two modes of characterological metadiscourse that contribute to the construction of an ‘alternative’ discursive space that allows the group to reflect on and to experiment with everyday social interactions. First, the article analyzes writing and conversation tasks that deal with experiences of ethnicization and inequality. Second, the article analyzes exercises in acting techniques, in which the focus turns to universal characterological dimensions, enabling each participant to participate in the joint voice as an equal performer. The analyses illuminate a local strategy of managing multi-ethnic relations and committing to ideals of solidarity and egalitarianism with the purpose of collective social action. (Voice, entextualization, interdiscursivity, ethnicity, raciolinguistics, theater)*

Does household debt affect the size of the fiscal multiplier? We investigate the effects of household debt on government spending multipliers using a smooth transition vector autoregression model. Through generalized impulse response functions, we measure whether the effect of government spending on GDP is conditioned by different levels of household debt in Australia, Sweden, and Norway, three countries with high levels of household indebtedness, and in the world’s seven largest economies. Our results indicate that the short-term effects of government spending tend to be higher if fiscal expansion takes place during periods of low household debt. On average, the fiscal multiplier (on impact) is 0.70, 0.61, and 0.79 (percent of GDP) larger when the increase in government spending takes place during periods of low household debt for Australia, Norway, and the United States.

Ralph Vaughan Williams's The Lark Ascending is a perennial favourite in the British classical music radio station Classic FM's ‘Hall of Fame’ poll. In spite of its apparent popularity, however, the work sits uncomfortably with the way revisionist critics and scholars have wanted to portray the composer. As an escapist piece of English musical pastoralism, The Lark undermines their preferred view of Vaughan Williams as a progressive or even ‘modernist’ participant in his artistic milieu. To combat this image, some critics and musicologists have argued for complex, harder-edged interpretations of the work that have little to no basis in the music's primary source materials or the composer's stated priorities in his own writings. Such emphases reflect a problem in recent revisionist literature, wherein traditionalist, nationalist, or Romantic aspects of Vaughan Williams's music are excessively downplayed (or re-situated) in favour of arguments that better support elite sensibilities. As a work consisting of accessible, melody-centric music, and following from a poem excerpt suggesting an idyllic scene, The Lark serves as a bulwark against revisionist overreach and a check against over-emphasis on trendy priorities.

Trait anxiety and attentional control are important factors related to depression symptoms. The study investigated how trait anxiety and attentional control predicted the trajectories of depression symptoms during the transition into early adolescence. The mediating effect of attentional control on the relationship of trait anxiety to the trajectories of depression symptoms was also examined. Children of 9 to 10 years were recruited at Time 1. Trait anxiety, attentional control, and depression symptoms were assessed at Time 1. Depression symptoms were measured at three follow-up assessments across 18 months. Latent class growth modeling revealed high (14.4%) and low (85.6%) trajectories of depression symptoms. Higher trait anxiety and lower attentional control predicted a higher likelihood of showing the trajectory of high depressive symptoms. Attentional control mediated the relationship of trait anxiety to the trajectory membership of depression symptoms. The findings had important implications for the association of trait anxiety with the trajectory membership of depression symptoms and highlighted the importance of attentional control in the development of depression symptoms for children with high trait anxiety.

Robots with multi-sensors always have a problem of weak pairing among different modals of the collected information produced by multi-sensors, which leads to a bad perception performance during robot interaction. To solve this problem, this paper proposes a Force Vision Sight (FVSight) sensor, which utilizes a distributed flexible tactile sensing array integrated with a vision unit. This innovative approach aims to enhance the overall perceptual capabilities for object recognition. The core idea is using one perceptual layer to trigger both tactile images and force-tactile arrays. It allows the two heterogeneous tactile modal information to be consistent in the temporal and spatial dimensions, thus solving the problem of weak pairing between visual and tactile data. Two experiments are specially designed, namely object classification and slip detection. A dataset containing 27 objects with deep presses and shallow presses is collected for classification, and then 20 slip experiments on three objects are conducted. The determination of slip and stationary state is accurately obtained by covariance operation on the tactile data. The experimental results show the reliability of generated multimodal data and the effectiveness of our proposed FVSight sensor.

The probability that an event will avalanche into an impairment of essential services constitutes a “systemic risk.” Owing to the inherent complexities of modern societies, the outbreak of a novel disease or the failure of a financial institution can rapidly escalate into an impact significantly larger than the initial event. Through the lens of complex system theory, this article draws a parallel between financial crises and disasters to contend that the regulatory framework for financial systemic risk is unequipped to address its fundamental dynamics. Epitomized by the market failure rationale, financial regulation is premised on a reductionist view that purports both systemic risk and law as external to the actions of market participants. Conversely, this article advances a twofold conceptual framework. First, it shows that systemic risk emerges from the same complex dynamics that generate the financial system. Second, it understands law as an agent of complexity, thus contributing to the emergence of finance and its inherent instability. Normatively, this conceptual framework reveals the limits of current regulatory approaches and constructs a holistic risk governance framework that is akin to the one adopted to govern disaster risks.

The frequency of growth increments in the tube wall of the Mesozoic and Cenozoic serpulids is in the range of modern species (i.e. 7–37 growth lines per 50 μm). The growth increments of serpulids do not show correlation with the water temperature and presumably cold water and warm water serpulid species are growing on average with similar speed in terms of number of growth lines per 50 μm. The large serpulid species have usually significantly larger growth increments than smaller species and presumably also grew faster than smaller species. The species with denser skeletons have lower growth rates than species with more porous skeletons. It is possible that serpulids do not have to calcify faster to produce thicker growth increments with lower density.

Public debates structure election cycles, feature in news media, and are privileged as a form of academic exchange. Yet, public debate is poorly understood from the perspective of political theory. While theorists often talk about “public debate,” they usually mean diffuse discussion on a topic in the public sphere. This article considers how literal public debates—multisided, publicly accessible and publicly oriented performances of reason-giving—may be normatively distinct from other forms of rhetoric. Drawing on the “constructivist turn” in the scholarship on representation and the philosophy of Gadamer, I offer a hermeneutical approach for assessing public debates. I argue that public debates do not merely provide a platform for opinions to be broadcast, they also purport to provide a representative spectrum of opinions. In so doing, they help to construct the borders of the public sphere itself. I conclude by considering the significance of protest to public debate.