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Sökning: AMNE:(NATURVETENSKAP Matematik Beräkningsmatematik) > Stockholms universitet

  • Resultat 1-10 av 68
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  • Eriksson, Henrik, et al. (författare)
  • Conjugacy of Coxeter elements
  • 2009
  • Ingår i: The Electronic Journal of Combinatorics. - 1097-1440 .- 1077-8926. ; 16:2
  • Tidskriftsartikel (refereegranskat)abstract
    • For a Coxeter group (W, S), a permutation of the set S is called a Coxeter word and the group element represented by the product is called a Coxeter element. Moving the first letter to the end of the word is called a rotation and two Coxeter elements are rotation equivalent if their words can be transformed into each other through a sequence of rotations and legal commutations. We prove that Coxeter elements are conjugate if and only if they are rotation equivalent. This was known for some special cases but not for Coxeter groups in general.
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  • Eriksson, Kimmo, 1967-, et al. (författare)
  • Biases for acquiring information individually rather than socially
  • 2009
  • Ingår i: Journal of Evolutionary Psychology. - 0737-4828. ; 7:4, s. 309-329
  • Tidskriftsartikel (refereegranskat)abstract
    • We discuss theoretical and empirical arguments for a human bias to acquire information individually rather than socially. In particular, we argue that when other people can be observed, information collection is a public good and hence some of the individual variation in the choice between individual and social learning can be explained by variation in social value orientation. We conducted two experimental studies, based on the game Explore & Collect, to test the predictions that (1) socially and individually acquired information of equal objective value are treated differently, and (2) prosocial subjects tend to spend more effort than selfish subjects on individual acquiring of information. Both predictions were supported.
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  • Eriksson, Kimmo, 1967-, et al. (författare)
  • Partner Search Heuristics in the Lab: : Stability of Matchings Under Various Preference Structures
  • 2009
  • Ingår i: Adaptive Behavior. - : SAGE Publications. - 1059-7123 .- 1741-2633. ; 17:6, s. 524-536
  • Tidskriftsartikel (refereegranskat)abstract
    • When agents search for partners, the outcome is a matching. K. Eriksson and O. Häggström (2008) defined a measure of instability of matchings and proved that under a certain partner search heuristic, outcomes are likely to have low instability. They also showed that with regards to stability, the preference structure known as common preferences lie somewhere in between the extreme cases of homotypic and antithetical preferences. Following up on this theoretical work, we let human subjects search for a good partner in a computer game where preferences were set to be either common, homotypic, or antithetical. We find that total search effort and instability of the outcome vary in the predicted ways with the preference structure and the number of agents. A set of simulations show that these results are consistent with a model where agents use a simple search heuristic with a slight possibility of error.
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  • Pettersson, Astrid, 1947-, et al. (författare)
  • Matematiken i PISA
  • 2010
  • Ingår i: Rustad att möta framtiden? PISA 2009 om 15-åringars läsförståelse och kunskaper i matematik och naturvetenskap. - Stockholm : Skolverket. ; , s. 97-112
  • Bokkapitel (övrigt vetenskapligt/konstnärligt)
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10.
  • Maad Sasane, Sara, et al. (författare)
  • Generators for rings of compactly supported distributions
  • 2011
  • Ingår i: Integral equations and operator theory. - : Springer Science and Business Media LLC. - 0378-620X .- 1420-8989. ; 69:1, s. 63-71
  • Tidskriftsartikel (refereegranskat)abstract
    • Let CUnknown control sequence '\tt' denote a closed convex cone in \mathbb RdRd with apex at 0. We denote by E¢(C)Unknown control sequence '\tt' the set of distributions on \mathbb RdRd having compact support contained in CUnknown control sequence '\tt'. Then E¢(C)Unknown control sequence '\tt' is a ring with the usual addition and with convolution. We give a necessary and sufficient analytic condition on [^(f)]1,..., [^(f)]nf1fn for f1,... ,fn Î E¢(C)Unknown control sequence '\tt' to generate the ring E¢(C)Unknown control sequence '\tt'. (Here [^(  ·  )] denotes Fourier-Laplace transformation.) This result is an application of a general result on rings of analytic functions of several variables by Lars Hörmander. En route we answer an open question posed by Yutaka Yamamoto.
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