Appendix Microlocal essential support of a distribution and decomposition theorems — An introduction

Mutual aid groups have allowed community members to respond collectively to the COVID-19 pandemic, providing essential support to the vulnerable. While research has begun to explore the benefits of participating in these groups, there is a lack of work investigating who is likely to engage in this form of aid-giving, and what social psychological processes predict this engagement. Taking a Social Identity approach, the present study explored predictors of coordinated COVID-19 aid-giving in pre-existing volunteers. A two-wave longitudinal online survey study (N = 202) revealed participants’ volunteer role identity at T1 (pre-pandemic) positively predicted perceptions of volunteer-beneficiary intergroup closeness at T1, which in turn positively predicted community identification at T1. This in turn positively predicted coordinated COVID-19 aid-giving at T2 (3 months later). This paper therefore reveals the intra- and intergroup predictors of pandemic-related coordinated aid-giving in pre-existing volunteers. Implications for voluntary organisations and emergency voluntary aid provision are discussed.

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Weak Orlicz–Hardy martingale spaces

International Journal of Mathematics ◽

10.1142/s0129167x15500627 ◽

2015 ◽

Vol 26 (08) ◽

pp. 1550062 ◽

Cited By ~ 10

Author(s):

Yong Jiao ◽

Lian Wu ◽

Lihua Peng

Keyword(s):

Atomic Decomposition ◽

Type Inequality ◽

Sublinear Operator ◽

Sufficient Condition ◽

Concave Functions ◽

Atomic Decompositions ◽

Stochastic Basis ◽

Decomposition Theorems

In this paper, several weak Orlicz–Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. With the help of weak atomic decompositions, a sufficient condition for a sublinear operator defined on the weak Orlicz–Hardy martingale spaces to be bounded is given. Further, we investigate the duality of weak Orlicz–Hardy martingale spaces and obtain a new John–Nirenberg type inequality when the stochastic basis is regular. These results can be regarded as weak versions of the Orlicz–Hardy martingale spaces due to Miyamoto, Nakai and Sadasue.

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Eliciting probabilistic expectations: Collaborations between psychologists and economists

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1615461114 ◽

2017 ◽

Vol 114 (13) ◽

pp. 3297-3304 ◽

Cited By ~ 8

Author(s):

Wändi Bruine de Bruin ◽

Baruch Fischhoff

Keyword(s):

Common Ground ◽

Research Process ◽

Economic Modeling ◽

Common Language ◽

Mutual Benefit ◽

Purchasing Decisions ◽

Major Research ◽

Sense Of Ownership ◽

Research Goal ◽

Essential Support

We describe two collaborations in which psychologists and economists provided essential support on foundational projects in major research programs. One project involved eliciting adolescents’ expectations regarding significant future life events affecting their psychological and economic development. The second project involved eliciting consumers’ expectations regarding inflation, a potentially vital input to their investment, saving, and purchasing decisions. In each project, we sought questions with the precision needed for economic modeling and the simplicity needed for lay respondents. We identify four conditions that, we believe, promoted our ability to sustain these transdisciplinary collaborations and coproduce the research: (i) having a shared research goal, which neither discipline could achieve on its own; (ii) finding common ground in shared methodology, which met each discipline’s essential evidentiary conditions, but without insisting on its culturally acquired tastes; (iii) sharing the effort throughout, with common language and sense of ownership; and (iv) gaining mutual benefit from both the research process and its products.

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Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds

Filomat ◽

10.2298/fil1507429m ◽

2015 ◽

Vol 29 (7) ◽

pp. 1429-1444 ◽

Cited By ~ 6

Author(s):

Cengizhan Murathan ◽

Erken Küpeli

Keyword(s):

Riemannian Manifolds ◽

Riemannian Submersion ◽

Sufficient Condition ◽

Necessary And Sufficient Condition ◽

Riemannian Submersions ◽

Totally Geodesic ◽

Cosymplectic Manifolds ◽

Necessary And Sufficient ◽

Decomposition Theorems ◽

Characteristic Vector Field

We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. We give examples of anti-invariant submersions such that characteristic vector field ? is vertical or horizontal. Moreover we give decomposition theorems by using the existence of anti-invariant Riemannian submersions.

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