Browsing 2008 by Title
Now showing items 18-20 of 20
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Upper tails for intersection local times of random walks in supercritical dimensions
[OWP-2008-02] (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] (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] (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 ...