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  • 1. Andersson, M
    et al.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Ortega-Cerda, J
    Canonical Homotopy Operators for the d-bar complex in strictly pseudoconvex domains1998In: Bulletin de la Societe Mathematique de France, ISSN 0037-9484, Vol. 126, no 2, p. 245-271Article in journal (Refereed)
  • 2. Andersson, Mats
    et al.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Approximate formulas for canonical homotopy operators for the d-bar complex in strictly pseudoconvex domains2000In: Mathematica Scandinavica, ISSN 0025-5521, Vol. 87, no 2, p. 251-271Article in journal (Refereed)
  • 3.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    On canonical homotopy operators for partial derivative in Fock type spaces in C-n2001In: Publicacions Matematiques, ISSN 0214-1493, Vol. 45, no 1, p. 223-233Article in journal (Refereed)
    Abstract [en]

    We show that a certain solution operator for partial derivative in a space of forms square integrable against e(-\z\2) is canonical, i.e.. that it gives the minimal solution when applied to a partial derivative -closed form. and gives zero when applied to a form orthogonal to Ker partial derivative. 

  • 4.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Quadratic convexity1998In: Journal d'Analyse Mathematique, ISSN 0021-7670, Vol. 76, no 1, p. 45-65Article in journal (Refereed)
  • 5.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    Sticky Graphs - A Tool To Model Self Assembly2004Report (Other scientific)
    Abstract [en]

    We define sticky graphs and propose their use in the study of self assembly by means of a grammar-like structure modeling the dynamic behaviour of a system.

  • 6.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
    The H^p corona theorem in analytic polyhedra1997In: Arkiv för matematik, ISSN 0004-2080, Vol. 35, no 2, p. 225-251Article in journal (Refereed)
  • 7.
    Högberg, Björn
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    Helmersson, Jing
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    Boo, Jörgen
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    Glans, Lotten
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    Olin, Håkan
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
    Programmable self-assembly:: Theoretical aspects and DNA-linked nanoparticles2008In: Systems Self-Assembly: Multidisciplinary Snapshots, Amsterdam: Elsevier, 2008, p. 245-258Chapter in book (Other academic)
    Abstract [en]

    We briefly present a method for the parameterization of assembly systems derived from their ability to form unique structures. The concept of bond uniqueness is introduced and we show how it influences the number of unique structures that a programmable, or algorithmic, self-assembly system can create. Further, we argue that programmable self-assembly systems create embedded, additional computation that is reflected in the complexity of the generated structures and show how this complexity is related to the bond uniqueness of the building blocks. A brief introduction to sticky graphs, a mathematical tool for modeling self-assembly systems, is given. From the theoretical discussions it becomes clear that building blocks for programmable self-assembly need to have at least four distinct, geometrically separated bonds. A scheme for the production of building blocks with well-directed bonds for programmable self-assembly using DNA-nanoparticles is presented. The introduced procedure is a completely bottom–up approach and can be used to produce quite advanced PSA building blocks like nanoparticle eight-mers with eight bonds. Initial experiments are presented.

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