Zobrazeno 1 - 10
of 1 265
pro vyhledávání: '"Jost Jürgen"'
Autor:
Jost, Jürgen, Warglien, Massimo
Business innovations are often arising from new combinations of pre-existing systems into new ones, coherently assembling features from their sources. We propose an abstract mathematical concept from category theory, the presheaf, to efficiently repr
Externí odkaz:
http://arxiv.org/abs/2411.01347
This work introduces IsUMap, a novel manifold learning technique that enhances data representation by integrating aspects of UMAP and Isomap with Vietoris-Rips filtrations. We present a systematic and detailed construction of a metric representation
Externí odkaz:
http://arxiv.org/abs/2407.17835
Autor:
Jiang, Shuhan, Jost, Jürgen
We introduce a formalism for constructing cohomological field theories (CohFT) out of nonlinear PDEs based on the first author's previous work (arXiv:2202.12425). We apply the formalism to the generalized Seiberg-Witten equations and show that the ob
Externí odkaz:
http://arxiv.org/abs/2407.04019
Autor:
Barth, Lukas Silvester, Fatemeh, Fahimi, Joharinad, Parvaneh, Jost, Jürgen, Keck, Janis, Mikhail, Thomas Jan
In this article, we expand upon the concepts introduced in \cite{Spivak09} about the relationship between the category $\mathbf{UM}$ of uber metric spaces and the category $\mathbf{sFuz}$ of fuzzy simplicial sets. We show that fuzzy simplicial sets c
Externí odkaz:
http://arxiv.org/abs/2406.11154
Discrete curvatures are quantities associated to the nodes and edges of a graph that reflect the local geometry around them. These curvatures have a rich mathematical theory and they have recently found success as a tool to analyze networks across a
Externí odkaz:
http://arxiv.org/abs/2402.18203
The characterization of complex networks with tools originating in geometry, for instance through the statistics of so-called Ricci curvatures, is a well established tool of network science. There exist various types of such Ricci curvatures, capturi
Externí odkaz:
http://arxiv.org/abs/2402.06616
We prove the local Lipschitz continuity of sub-elliptic harmonic maps between certain singular spaces, more specifically from the $n$-dimensional Heisenberg group into $CAT(0)$ spaces. Our main theorem establishes that these maps have the desired Lip
Externí odkaz:
http://arxiv.org/abs/2312.17112
Commitment devices are powerful tools that can influence and incentivise certain behaviours by linking them to rewards or punishments. These devices are particularly useful in decision-making, as they can steer individuals towards specific choices. I
Externí odkaz:
http://arxiv.org/abs/2311.10586
We investigate the canonical pseudo-Riemannian metrics associated with Jordan-analogues of the coadjoint orbits for pseudo-Euclidean Jordan superalgebras.
Comment: 20 pages, 1 figure
Comment: 20 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2311.01333