Examples of doubly stochastic measures supported on the graphs of two functions

A doubly stochastic measure (DSM) is a measure μ on the unit square so that μ([0, 1] × A) = μ(A × [0, 1]) = m(A) where m is Lebesgue measure. The set of DSMs forms a convex set in the space of measures. It is known that DSMs supported on the union of two graphs of invertible functions are extreme points of that convex set (Seethoff and Shiflett, 1977/78 Seethoff, T.L., Shiflett. (1977/78). Doubly stochastic measures with prescribed support. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 41(4):283–288.[Crossref], [Web of Science ®] , [Google Scholar]). In general, there are few examples of extreme points in the literature. There are examples of so-called hairpins where the functions involved are inverses of each other, but there are also examples of the union of the graphs of a function and its inverse does not support a DSM (Sherwood and Taylor, 1988 Sherwood, H., Taylor, M.D. (1988). Doubly stochastic measures with hairpin support. Probab. Theory Related Fields 78(4):617–626.[Crossref], [Web of Science ®] , [Google Scholar]). In this paper, for a function f in a certain class, we find companion functions g so that the union of the graphs of f and g support a DSM even though the union of the graphs of f and f-inverse do not.     

Connecting Practical Doings to Cultural Meanings: Exploring the Work of Moral Mediators in Human Service Organizations

This study illuminates the work of moral mediators, which I define as organizational actors who work to strategically monitor, maintain, and manage the moral identity of others. My layered, organizational, narrative analysis of the mentoring organization Big Brothers Big Sisters draws on two types of data: client stories featured on the national website and ten in‐depth interviews with case managers at a local agency. My analysis demonstrates how case managers employ an emotional labor technique of drama dilution, or work done to add ambiguity to public storytelling in ways that leave more space for variations of deservingness, success, and morality. This article emphasizes the paradoxical nature of public organizational narratives and highlights the need for continued exploration of day‐to‐day work in conjunction with organizational structure and cultural values and beliefs.     

Political and bureaucratic dilemmas in social indicators for policy making

This paper identifies a variety of political and bureaucratic constraints on the use of social indicators in policy making, including those associated with nonuse, misuse, quantification, and value-weighting. The basic elements in the policy making process are identified as value-conflict, bureaucratic maintenance, and analytic rationality. These elements and the activites of policy making are then related to social indicator research. Means for overcoming the constraints are discussed including: the use of sensitivity analysis, improved communication, a commitment to intellectural pluralism and moral responsibility, and especially improved policy modeling.     

Ideological Contention: Antonio Gramsci and the Connection Between Race and Social Movement Mobilization in Early Twentieth-Century Italy

This article introduces the concept “ideological contention” into the study of social movements and demonstrates the concept through an analysis of the relationship between race and mobilization in modern national contexts. The analysis links the emergence of scientific racism to the period of large nation state consolidation and the development of liberal political ideologies across Western nations. The paper demonstrates that movement struggles within the context of a national ideological framework impact the organization, process of ideological elaboration, and strategic choices a movement makes. I explore how ideology organizes, coordinates, and mobilizes movement members in political processes through a study of Sardinian worker, peasant, and communist struggles in the context of a modernized and industrialized Italy (1917–1920). I argue that reevaluating the theoretical and empirical relationship between ideology and the frame perspective could strengthen analyses of social movement struggles.     

Gaze Behaviors of Preterm and Full‐Term Infants in Nonsocial and Social Contexts of Increasing Dynamics: Visual Recognition,Attention Regulation,and Gaze Synchrony

Although research has demonstrated poor visual skills in premature infants, few studies assessed infants’ gaze behaviors across several domains of functioning in a single study. Thirty premature and 30 full‐term 3‐month‐old infants were tested in three social and nonsocial tasks of increasing complexity and their gaze behavior was micro‐coded. In a one‐trial version of the visual recognition paradigm, where novel stimuli were paired with familiar stimuli, preterm infants showed longer first looks to novel stimuli. In the behavior response paradigm, which presented infants with 17 stimuli of increasing complexity in a predetermined “on‐off” sequence, premature infants tended to look away from toys more during presentation. Finally, during mother–infant face‐to‐face interaction, the most dynamic interpersonal context, preterm infants and their mothers displayed short, frequent episodes of gaze synchrony, and lag‐sequential analysis indicated that both mother and infant broke moments of mutual gaze within 2 sec of its initiation. The propotion of look away during the behavior response paradigm was related to lower gaze synchrony and more gaze breaks during mother–infant interactions. Results are discussed in terms of the unique and adaptive gaze patterns typical of low‐risk premature infants.     

Clearing the FOG: Fuzzy,overlapping groups for social networks

Humans are well known to belong to many associative groups simultaneously, with various levels of affiliation. However, most group detection algorithms for social networks impose a strict partitioning on nodes, forcing entities to belong to a single group. Link analysis research has produced several methods which detect multiple memberships but force equal membership. This paper extends these approaches by introducing the FOG framework, a stochastic model and group detection algorithm for fuzzy, overlapping groups. We apply our algorithm to both link data and network data, where we use a random walk approach to generate rich links from networks. The results demonstrate that not only can fuzzy groups be located, but also that the strength of membership in a group and the fraction of individuals with exclusive membership are highly informative of emerging group dynamics.     

Schoolyard Conversations: Influencing Suicide Talk in an Elementary School Community

There is a need for shared leadership following a school crisis. This paper explores the phenomenon of ‘contagion’ resulting after a suicide attempt in an elementary school. The contagion allows anxieties, fears, worries, and myths to perpetuate and run rampant among the students and adults alike. This affects how they talk with one another. By capturing the authentic conversations and interventions used when school leaders join together, the reader can learn how a sense of safety within a school culture is restored. The article is necessarily written in the narrative style, in order to capture and reflect the conversational framework used: to understand the problem, to develop the intervention, and to analyze its impact. In this way, field practice and training are joined to create a relevant front‐line model of social work education.