• Stratifying modular representations of finite groups 

      [OWP-2008-20] Benson, David J.; Iyengar, Srikanth B.; Krause, Henning (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-20)
      We classify localising subcategories of the stable module category of a finite group that are closed under tensor product with simple (or, equivalently all) modules. One application is a proof of the telescope conjecture ...
    • Upper tails for intersection local times of random walks in supercritical dimensions 

      [OWP-2008-02] Chen, Xia; Mörters, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-06)
      We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of $p$ independent random walks in $\mathbb{Z}^d$ under the assumption $p(d-2)>d$. Our approach allows a ...
    • Urn Models & Operator Ordering Procedures 

      [OWP-2008-06] Blasiak, Pawel (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-10)
      Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ...
    • Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval 

      [OWP-2008-13] Chelkak, Dmitry; Korotyaev, Evgeny (Mathematisches Forschungsinstitut Oberwolfach, 2008)
      The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ...