@article{BruckmaierKraussBinderetal.2021,
  author    = {Bruckmaier, Georg and Krauss, Stefan and Binder, Karin and Hilbert, Sven Lars and Brunner, Martin},
  title     = {Tversky and Kahneman's cognitive illusions},
  series = {Frontiers in psychology},
  volume    = {12},
  journal   = {Frontiers in psychology},
  publisher = {Frontiers Research Foundation},
  address   = {Lausanne},
  issn      = {1664-1078},
  doi       = {10.3389/fpsyg.2021.584689},
  pages     = {25},
  year      = {2021},
  abstract  = {In the present paper we empirically investigate the psychometric properties of some of the most famous statistical and logical cognitive illusions from the "heuristics and biases" research program by Daniel Kahneman and Amos Tversky, who nearly 50 years ago introduced fascinating brain teasers such as the famous Linda problem, the Wason card selection task, and so-called Bayesian reasoning problems (e.g., the mammography task). In the meantime, a great number of articles has been published that empirically examine single cognitive illusions, theoretically explaining people's faulty thinking, or proposing and experimentally implementing measures to foster insight and to make these problems accessible to the human mind. Yet these problems have thus far usually been empirically analyzed on an individual-item level only (e.g., by experimentally comparing participants' performance on various versions of one of these problems). In this paper, by contrast, we examine these illusions as a group and look at the ability to solve them as a psychological construct. Based on an sample of N = 2,643 Luxembourgian school students of age 16-18 we investigate the internal psychometric structure of these illusions (i.e., Are they substantially correlated? Do they form a reflexive or a formative construct?), their connection to related constructs (e.g., Are they distinguishable from intelligence or mathematical competence in a confirmatory factor analysis?), and the question of which of a person's abilities can predict the correct solution of these brain teasers (by means of a regression analysis).},
  language  = {en}
}
@article{RoosOtoba2021,
  author    = {Roos, Saskia and Otoba, Nobuhiko},
  title     = {Scalar curvature and the multiconformal class of a direct product Riemannian manifold},
  series = {Geometriae dedicata},
  volume    = {214},
  journal   = {Geometriae dedicata},
  number    = {1},
  publisher = {Springer},
  address   = {Dordrecht},
  issn      = {0046-5755},
  doi       = {10.1007/s10711-021-00636-9},
  pages     = {801 -- 829},
  year      = {2021},
  abstract  = {For a closed, connected direct product Riemannian manifold (M, g) = (M-1, g(1)) x ... x (M-l, g(l)), we define its multiconformal class [[g]] as the totality {integral(2)(1)g(1) circle plus center dot center dot center dot integral(2)(l)g(l)} of all Riemannian metrics obtained from multiplying the metric gi of each factor Mi by a positive function fi on the total space M. A multiconformal class [[ g]] contains not only all warped product type deformations of g but also the whole conformal class [(g) over tilde] of every (g) over tilde is an element of[[ g]]. In this article, we prove that [[g]] contains a metric of positive scalar curvature if and only if the conformal class of some factor (Mi, gi) does, under the technical assumption dim M-i = 2. We also show that, even in the case where every factor (M-i, g(i)) has positive scalar curvature, [[g]] contains a metric of scalar curvature constantly equal to -1 and with arbitrarily large volume, provided l = 2 and dim M = 3.},
  language  = {en}
}