Now showing items 1-17 of 17

• #### Birational Rowmotion on a Rectangle over a Noncommutative Ring ﻿

[OWP-2022-17] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-20)
We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014. The proof ...
• #### 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 ...
• #### 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 ...
• #### On a Conjecture of Khoroshkin and Tolstoy ﻿

[OWP-2022-14] (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-02)
We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal $R$-matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from ...
• #### Embedding Spaces of Split Links ﻿

[OWP-2022-13] (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-01)
We study the homotopy type of the space $\mathcal{E}(L)$ of unparametrised embeddings of a split link $L=L_1\sqcup \ldots \sqcup L_n$ in $\mathbb{R}^3$. Inspired by work of Brendle and Hatcher, we introduce a semi-simplicial ...
• #### Shock-avoiding Slicing Conditions: Tests and Calibrations ﻿

[OWP-2022-12] (Mathematisches Forschungsinstitut Oberwolfach, 2022-07-19)
While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternative "shockavoiding" slicing conditions ...
• #### On the Enumeration of Finite $L$-Algebras ﻿

[OWP-2022-11] (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-29)
We use Constraint Satisfaction Methods to construct and enumerate finite L-algebras up to isomorphism. These objects were recently introduced by Rump and appear in Garside theory, algebraic logic, and the study of the ...
• #### Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries ﻿

[OWP-2022-10] (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-08)
Discretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization ...
• #### Bounded Weight Modules for Basic Classical Lie Superalgebras at Infinity ﻿

[OWP-2022-09] (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-30)