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This page contains the most recent publications from the Departement of Mathematics at Stockholm University (SU), and the Department of Mathematics at The Royal Institute of Technology (KTH), are presented.

  • Foreword
    No abstract available.
  • Regularly varying measures on metric spaces : Hidden regular variation and hidden jumps

    We develop a framework for regularly varying measures on complete separable metric spaces S with a closed cone C removed, extending material in [15, 24]. Our framework provides a flexible way to consider hidden regular variation and allows simultaneous regular-variation properties to exist at different scales and provides potential for more accurate estimation of probabilities of risk regions. We apply our framework to iid random variables in ℝ∞<inf>+</inf> with marginal distributions having regularly varying tails and to càdlàg Lévy processes whose Lévy measures have regularly varying tails. In both cases, an infinite number of regular-variation properties coexist distinguished by different scaling functions and state spaces.

  • Mapping placental topology from 3D scans, the graphic display of variation in arborisation across gestation (vol 34, pg A73, 2013)
    No abstract available.

    In this article we state and prove a corrected version of Theorem 3.5 in [SIAM J. Comput., 18 ( 1989), pp. 859-881].

  • Equidistributed Statistics on Matchings and Permutations

    We show that the bistatistic of right nestings and right crossings in matchings without left nestings is equidistributed with the number of occurrences of two certain patterns in permutations, and furthermore that this equidistribution holds when refined to positions of these statistics in matchings and permutations. For this distribution we obtain a non-commutative generating function which specializes to Zagier's generating function for the Fishburn numbers after abelianization. As a special case we obtain proofs of two conjectures of Claesson and Linusson. Finally, we conjecture that our results can be generalized to involving left crossings of matchings too.