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Convergence and Error Analysis of Compressible Fluid Flows with Random Data: Monte Carlo Method
[OWP-2022-15] (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-25)
The goal of this paper is to study convergence and error estimates of the Monte Carlo method for the Navier-Stokes equations with random data. To discretize in space and time, the Monte Carlo method is combined with a ...
Root Cycles in Coxeter Groups
[OWP-2022-16] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-15)
For an element $w$ of a Coxeter group $W$ there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on $\Phi$, the root system of $W$. This paper investigates ...
Trivial Source Character Tables of SL2(q)
[OWP-2022-02] (Mathematisches Forschungsinstitut Oberwolfach, 2022-01-28)
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via ...
Quasi-Equilibria and Click Times for a Variant of Muller's Ratchet
[OWP-2022-18] (Mathematisches Forschungsinstitut Oberwolfach, 2022-11-30)
Consider a population of $N$ individuals, each of them carrying a type in $\mathbb N_0$. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type $k$ has the same selective ...
Coorbit Spaces and Dual Molecules: the Quasi-Banach Case
[OWP-2022-08] (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-27)
This paper provides a self-contained exposition of coorbit spaces associated with integrable group representations and quasi-Banach function spaces. It extends the theory in [Studia Math., 180(3):237–253, 2007] to locally ...
Deciding Non-Freeness of Rational Möbius Groups
[OWP-2022-07] (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-22)
We explore a new computational approach to a classical problem: certifying non-freeness of (2-generator, parabolic) Möbius subgroups of SL(2, $\mathbb{Q}$). The main tools used are algorithms for Zariski dense groups and ...
Characterization of Tropical Planar Curves up to Genus Six
[OWP-2022-06] (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-16)
We provide new forbidden criterion for realizability of smooth tropical plane curves. This in turn provides us a complete classification of smooth tropical plane curves up to genus six.
Convolution in Dual Cesàro Sequence Spaces
[OWP-2022-20] (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-16)
We investigate convolution operators in the sequence spaces $d_p$, for 1 $\leqslant p<\infty$. These spaces, for $p$ > 1, arise as dual spaces of the Cesàro sequence spaces $ces_p$ thoroughly investigated by G. Bennett. A ...
Hutchinson's Intervals and Entire Functions from the Laguerre-Pólya Class
[OWP-2022-19] (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-12)
We find the intervals $[\alpha, \beta (\alpha)]$ such that if a univariate real polynomial or entire function $f(z) = a_0 + a_1 z + a_2 z^2 + \cdots $ with positive coefficients satisfy the conditions $ \frac{a_{k-1}^2}{ ...
Bounded Weight Modules for Basic Classical Lie Superalgebras at Infinity
[OWP-2022-09] (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-30)
We classify simple bounded weight modules over the complex simple Lie superalgebras $\mathfrak{sl}(\infty |\infty)$ and $\mathfrak{osp} (m | 2n)$, when at least one of $m$ and $n$ equals $\infty$. For $\mathfrak{osp} (m | ...