Multivariate truncated moments problems and maximum entropy

We characterize the existence of the Lebesgue integrable solutions of the truncated problem of moments in several variables on unbounded supports by the existence of some maximum entropy -- type representing densities and discuss a few topics on their approximation in a particular case, of two variables and 4th order moments.Comment: Revised version, to appear in Analysis and Mathematical Physic

What is urban nature and how do we perceive it?

This chapter discusses the complexities and apparent contradictions in defining ‘nature’ and ‘urban nature’ in the context of human-nature interactions. It explains why urban nature is so important to human health and well-being at this point in the twenty first century, focusing particularly on why considering nature perception is crucial if we are to plan, design and manage urban nature to prioritise people’s aesthetic appreciation, health and well-being. Nature-perceptions are then framed in relation to diversity in nature: the role of varying biodiversity, perceived biodiversity and different aesthetics of nature (specifically flowering and colour , structure and care). The significance of varying socio-cultural and geographical contextual factors in nature perception is then highlighted. The chapter closes by addressing implications for policy and practice and future research directions in relation to urban nature perception . The author draws extensively from her own and related research

New Methods for Assessing the Fascinating Nature of Nature Experiences

<p>In recent years, numerous environmental psychology studies have demonstrated that contact with nature as opposed to urban settings can improve an individual's mood, can lead to increased levels of vitality, and can offer an opportunity to recover from stress. According to Attention Restoration Theory (ART) the restorative potential of natural environments is situated in the fact that nature can replenish depleted attentional resources. This replenishment takes place, in part, because nature is deemed to be a source of fascination, with fascination being described as having an "attentional'', an "affective'' and an "effort'' dimension. However, the claim that fascination with nature involves these three dimensions is to a large extent based on intuition or derived from introspection-based measurement methods, such as self-reports. In three studies, we aimed to more objectively assess whether these three dimensions indeed applied to experiences related to natural environments, before any (attentional) depletion has taken place. The instruments that were used were: (a) the affect misattribution procedure (Study 1), (b) the dot probe paradigm (Study 2) and (c) a cognitively effortful task (Study 3). These instrument were respectively aimed at verifying the affective, attentional and effort dimension of fascination. Overall, the results provide objective evidence for the claims made within the ART framework, that natural as opposed to urban settings are affectively positive (cfr., affective dimension) and that people have an attentional bias to natural (rather than urban) environments (cfr., attentional dimension). The results regarding the effort dimension are less straightforward, and suggest that this dimension only becomes important in sufficiently difficult cognitive tasks.</p>