Zobrazeno 1 - 10
of 1 932
pro vyhledávání: '"Brüstle A"'
Given a functor from any category into the category of topological spaces, one obtains a linear representation of the category by post-composing the given functor with a homology functor with field coefficients. This construction is fundamental in pe
Externí odkaz:
http://arxiv.org/abs/2411.19319
Let $A$ be the path algebra of a quiver of Dynkin type $\mathbb{A}_n$. The module category $\text{mod}\,A$ has a combinatorial model as the category of diagonals in a polygon $S$ with $n+1$ vertices. The recently introduced notion of almost rigid mod
Externí odkaz:
http://arxiv.org/abs/2410.04627
Autor:
Brüstle, Noah, Wiebe, Nathan
Quantum algorithms for Hamiltonian simulation and linear differential equations more generally have provided promising exponential speed-ups over classical computers on a set of problems with high real-world interest. However, extending this to a non
Externí odkaz:
http://arxiv.org/abs/2407.07685
One of the main objectives of topological data analysis is the study of discrete invariants for persistence modules, in particular when dealing with multiparameter persistence modules. In many cases, the invariants studied for these non-totally order
Externí odkaz:
http://arxiv.org/abs/2402.09190
Publikováno v:
Journal of Synchrotron Radiation, Vol 31, Iss 6, Pp 1582-1592 (2024)
The upgrade of the Swiss Light Source, called SLS 2.0, necessitates comprehensive updates to all 18 user front ends. This upgrade is driven by the increased power of the synchrotron beam, reduced floor space, changing source points, new safety regula
Externí odkaz:
https://doaj.org/article/dccc83236246437f8ff7d31f7b0e21dd
We discuss applications of exact structures and relative homological algebra to the study of invariants of multiparameter persistence modules. This paper is mostly expository, but does contain a pair of novel results. Over finite posets, classical ar
Externí odkaz:
http://arxiv.org/abs/2308.01790
Autor:
Just, David Marco1 (AUTHOR) david.just@psi.ch, Brüstle, Marcel1 (AUTHOR), Guntli, Simon1 (AUTHOR), Mück, Johannes1 (AUTHOR), Pradervand, Claude1 (AUTHOR)
Publikováno v:
Journal of Synchrotron Radiation. Nov2024, Vol. 31 Issue 6, p1582-1592. 11p.
Stratifying systems, which have been defined for module, triangulated and exact categories previously, were developed to produce examples of standardly stratified algebras. A stratifying system $\Phi$ is a finite set of objects satisfying some orthog
Externí odkaz:
http://arxiv.org/abs/2208.07808
Automated CRISPR/Cas9-based genome editing of human pluripotent stem cells using the StemCellFactory
Autor:
Bastian Nießing, Yannik Breitkreuz, Andreas Elanzew, Marcelo A. S. de Toledo, Peter Vajs, Marina Nolden, Frederik Erkens, Paul Wanek, Si Wah Christina Au Yeung, Simone Haupt, Niels König, Michael Peitz, Robert H. Schmitt, Martin Zenke, Oliver Brüstle
Publikováno v:
Frontiers in Bioengineering and Biotechnology, Vol 12 (2024)
CRISPR/Cas9 genome editing is a rapidly advancing technology that has the potential to accelerate research and development in a variety of fields. However, manual genome editing processes suffer from limitations in scalability, efficiency, and standa
Externí odkaz:
https://doaj.org/article/b94f36ec1c0945b49157e1bf435b896d
Publikováno v:
Canadian Journal of Mathematics 76 (2024), no. 1, 66-103
We define a class of invariants, which we call homological invariants, for persistence modules over a finite poset. Informally, a homological invariant is one that respects some homological data and takes values in the free abelian group generated by
Externí odkaz:
http://arxiv.org/abs/2112.07632